Blue Static 3D Transparent - Text HARRY'S HUGE HEAP

aka

Blue Static 3D Transparent - Text HARRY'S HUGE HEAP

Picture of HARRY'S HUGE HEAP

HARRY'S HUGE HEAP
aka


H³ Math & Logic - Index

This document is located at...
https://harrymeeks0.tripod.com/links/mlx.html



  • Willcam's Comprehensive HTML Cross Reference
  • Web Design Group Top
  • WDG HTML 4.0 Reference
  • W3 HTML 4.0 Reference

    Temp - Local

    http://cgm.cs.mcgill.ca/~luc/math.html http://www.microsoft.com/typography/fonts/default.asp
  • Home Page of Igor Shparlinski
  • Victor Shoup's Home Page $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  • Q
  • W
  • E
  • R
  • T
  • Y
  • U
  • I
  • O "Sturm's algorithm"
  • P
  • A
  • S
  • D
  • F http://users.comlab.ox.ac.uk/irina.voiculescu/Report/node39.html#SECTION00710000000000000000"> Budan root polynomial
  • G
  • H Descartes, Budan, Fourier, Sturm, Sylvester and Hermite
  • J newton-maehly
  • K
  • L
  • Z Bairstow-Hitchcock http://netlib.bell-labs.com/netlib/tomspdf/3.pdf
  • http://netlib.bell-labs.com/netlib/tomspdf/29.pdf
  • http://netlib.bell-labs.com/netlib/tomspdf/59.pdf http://netlib.bell-labs.com/netlib/tomspdf/75.pdf 78.pdf 105.pdf ???.pdf 419.pdf 429.pdf Laguerre Jenkins-Traub algorithm http://library.wolfram.com/examples/algebraicnumbers/ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

    Mathematics - Logic - MetaLogic - MetaMathematics

    Mathematics

    Encyclopedias

    Encyclopedias Philosophy

  • Internet Encyclopedia of Philosophy
  • Stanford Encyclopedia of Philosophy
  • The Ism Book A Field Guide to the Nomenclature of Philosophy
  • Dictionary of Philosophy of Mind
  • Hippias: Limited Area Search of Philosophy on the Internet
  • EpistemeLinks.com: WWW Philosophy Resources
  • Philosophy in Cyberspace
  • Erratic Impact Philosophy Research Base
  • Scholarly Electronic Text and Image Service (SETIS)
  • American Philosophical Association
  • Guide to Philosophy on the Internet
  • Contemporary Philosophy, Critical Theory and Postmodern Thought
  • Proceedings of the Friesian School
  • Philosophers: Main Page

    Encyclopedias of Mathematics

  • Encyclopedia of Mathematics
  • PRIME Mathematics Encyclopedia
  • ProjectEuclid [High School- under construction]
  • Concise encyclopedia of mathematics [local]
  • CRC Concise Encyclopedia of Mathematics [TEMP-lawsuit]
  • Encyclopedia Proteus [metaSearch]

    Mathematical Dictionary and Glossary

  • On-line Mathematics Dictionary [brief]
  • Intermath Dictionary [middle school students]
  • MATH DICTIONARY and Mathematics Glossary
  • Dedicated Systems [????]
  • Dictionary Welcome [High School]
  • PlanetMath
  • Short Index to On-Line Encyclopedia of Integer Sequences
  • WOLF PRIZE RECIPIENTS IN MATHEMATICS

    Search

  • Other Mathematics Service Providers
  • MathSearch [research-level and university mathematics]
  • FHS Search - Powered by HomepageTools
  • AMS - MathSciNet [Search - MSC]
  • Pub Science [Access and search electronic journal ]
  • WorkPage: The Locator Service
  • Mathematics Archives - Topics in Mathematics

    Classification

  • 2000 Mathematics Subject Classification
  • Dewey Subject Classification Mathematics
  • Mathematical Atlas
  • ResearchIndex (CiteSeer)
  • 1991 Mathematics Subject Classification (MSC)

    Mathematical Tables and Formulas

  • S.O.S. Math - Mathematical Tables and Formulas
  • Scientific Instrument Services Math Tables
  • Math Tables, Facts and Formulas [& Algebraic Equation (Calculator,Solver,Grapher)]
  • 1
  • Algebraic Calculator [expand,factor,simplify,solve,graph,differentiate,integrate]
  • NIST DigitalMathLib: NIST Digital Library of Mathematical Functions [mockup]
  • Mathematical Functions [Wolfram]
  • Math2.org [Daves math tables]
  • Mathematics HandBOOKS [books]

    Calculators - Math Tables

  • Martindale's Mathematics Calculators On-Line
  • CALCULATORS ON-LINE CENTER
  • The Integrator
  • SCIENCE TABLES & TOOLS http://gams.nist.gov/
  • NewJour

    ALGEBRAIC IDENITIES



    Summerian Math


    a·b = ½· [(a + b)² - - b²]


    a·b = ¼· [(a + b)² - (a - b)²]


    a/b = a·(1/b)


    (a² ± b)½ ~= a ± b/(2·a)


    ai+1 ~= (ai + 2/ai)/2

    REAL NUMBERS - FIELD AXIOMS




    ADDITION


    1) CLOSURE: For all r ,s in R there exists t in R such that

    r + s = t

    2) IDENTITY: There Exists a number 0 in R such that

    For all r in R

    r + 0 = r

    3) INVERSES: For all r in R there exists a unique r' written -r in R such that

    r + r' = r + (-r) = 0

    4) ASSOCIATIVITY: For all r ,s ,t in R

    r + (s + t) = (r + s) + t

    5) COMMUTATIVE: For all r ,s in R

    r + s = s + r


    MULTIPLICATION


    6) CLOSURE: For all r ,s in R there exists t in R such that

    r·s = t

    7) IDENTITY: There Exists a number 1 not = 0 in R such that

    For all r in R

    r·1 = r

    8) INVERSES: For all r in R-{0} there exists a unique r" written r-1 in R-{0} such that

    r·r" = r·r-1 = 1

    9) ASSOCIATIVITY: For all r ,s ,t in R

    r·(s·t) = (r·s)·t

    10) COMMUTATIVE: For all r ,s in R

    r·s = s·r

    11) DISTRIBUTIVE: For all r ,s ,t in R

    r·(s + t) = r·s + r·t

    ALGEBRAIC EXPANSIONS




    (a + b)·(c + d) = a·c + a·d + b·c + b·d (Distributive law)


    (a ± b)² = ± 2·a·b +


    (a ± b)³ = ± 3·a² ·b + 3·a·b² ±


    (a + b)n = an + n·an-1 + ... + [n!/{k!·(n - k)!}]·an - k - 1 ·bk + ... + n·a·bn-1 + bn


    (a - b)n = an - n·an-1 + ... + (-1)k ·[n!/{k!·(n - k)!}] ·an - k - 1 ·bk + ... + n·a·bn-1 + bn

    FACTORING




    a² - b² = (a + b) · (a - b) (Difference of Squares)


    a³ ± b³ = (a ± b) · (a² ±' a·b + b² ) (Sum & Difference of Cubes)


    a2·n - b2·n = (an - bn) · (an + bn)


    an - bn = (a - b) · (an-1 + an-2 · b + ... + bn-1 )


    an + bn = (a + b)· (an-1 - an-2 · b + ... + (-1)k ·an-1-k · bk + ... + (-1)n-1 bn-1)

    ROOTS -> COEFFICIENTS




    Quadratic polynomial

    (x + a)·(x + b) = x² + (a + b)·x + a·b


    Cubic polynomial

    (x + a)·(x + b)·(x + c) = x³ + (a + b + c)·x² + (a·b + b·c + c·a)·x + a·b·c

    $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

    SOLUTIONS



    Quadratic Equation Solution Formula


    if a·x² + b·x + c = 0
    then x = [ -b ± (b² - 4·a·c)½] / (2·a)


    Cubic Equation Solution Procedure

    Given Cubic Equation
    a·x3 + b·x2 + c·x + d = 0

    If it is false that a = 1 Then divide Cubic Equation by (a) giving
    x3 + e·x2 + f·x + g = 0

    If it is false that e = 0 Then
    substitute for x ; (y - e/3) giving
    y3 + p·y + q = 0

    Or just substitute x = y - [b/(3·a)]

    Giving y3 + e·y + f = 0

    Now using Vieta's substitution y = z + s/z with s = -e/3
    ie y = z - e/(3·z) & Multipling the resulting equation by z3 yields

    z6 + g·z3 + h = 0 a Quadratic in z3

    Quartic Equation Solution Procedure



    Given Quartic Equation
    a·x4 + b·x3 + c·x2 + d·x + e = 0


    If it is false that a = 1 Then divide Quartic Equation by (a) giving
    x4 + f·x3 + g·x2 + h·x + i = 0

    Or just substitute x = y - [b/(4·a)]







    The Rational Root Theorem


    If a rational number r = p/q in its lowest terms, is a solution to the equation
    Q·xn + ... + ai ·xi + ... + P = 0 ;

    ALL i ; 0 <= i <= n ; ai , P = a0 , Q = an elements of I ;

    then p divides P & q divides Q

    Eisenstein's Irreducibility Criterion

  • § 4.3 Polynomials with Integer Coefficients
    http://www.riaca.win.tue.nl/CAN/CA_Library/
  • Polynomial Functions - The Rational Root Theorem
  • Math 12 - Polynomials - Rational Root Theorem
  • Chapter 8 Section 5
  • Rational Zeros of Polynomials
  • Real and Complex Numbers
  • Real Solutions of Polynomial Systems: Algorithms
    MONIC polynomial "unit circle" root polynomial
  • Cubic Equations
  • Math Forum: Cubic and Quartic Equations
  • Cubic and Quartic Formulas
  • Quadratic, cubic and quartic equations
  • Another solution to cubic polynomial equations
  • Magma: General Information
  • Inequalities on Polynomial Roots [temp]
  • POLYNOMIALS
  • ABSTRACT ALGEBRA ON LINE $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

    Style Manuals & Editing

    "Presentation MathML" http://www.openmath.org/ http://www.nag.co.uk/projects/openmath/final/final.htm http://staff.bath.ac.uk/masjhd/ReduceOpenMath/html/project.html http://hutchinson.belmont.ma.us/tth/mmlreview/ http://centaur.maths.qmw.ac.uk/Talks/WebMath/WebMath.htm http://www.w3.org/Amaya/MathExamples.html
  • Author Packages for Publishing with the AMS
  • AMS-LaTeX
  • AMS-TeX
  • AMSFonts
  • AMS Author Packages - Documentation
  • MathSciNet Home Page
  • USL: Mathematics & Statistics - Author Tools
  • Mathematics and Statistics | Style Manuals
  • UML Sciences and Technology Library: Information Sources in Mathematics and Statistics
  • Journal Results Page: Institute for Scientific Information (ISI) MATHEMATICS JOURNAL LIST
  • Journal Results Page: Institute for Scientific Information (ISI) MATHEMATICS, APPLIED JOURNAL LIST
  • Journal Results Page: Institute for Scientific Information (ISI) MATHEMATICS, MISCELLANEOUS JOURNAL LIST
  • Journal Results Page: Institute for Scientific Information (ISI) STATISTICS & PROBABILITY JOURNAL LIST
  • Sending mathematical communications electronically
  • OpenMath and MathML
  • DERIVE DOCUMENTATION
  • TeX Users Group Home Page
  • TTH: the TEX to HTML translator
  • DVI Viewer for Microsoft Windows
  • Package: dvidvi 1.0-3.1
  • dvipdfm page
  • MiKTeX Project Page
  • catdvi a DVI to text/plain translator
  • HyperTeX FAQ
  • access.adobe.com
  • Search Adobe PDF Online
  • PDF Viewer for X
  • PStill - PS/EPS to PDF converter
  • gv, a PostScript and PDF previewer
  • CTAN: Comprehensive TeX Archive Network
  • TeX Users Group Home Page
  • TTH: the TEX to HTML translator
  • AUC TeX
  • Internet PostScript Resources
  • Internet Resources for POSTSCRIPT and GHOSTSCRIPT
  • Ghostscript, Ghostview and GSview
  • Adobe PostScript 3
  • Converters to and from HTML
  • Introduction to Syntax of MATHS

    Mathematics - General

  • Academic Info : Mathematics

    Courses

  • World Lecture Hall
  • ChuckIII's College Resources
  • Online Books and Lecture Notes in Mathematics [****]

    Notes

    Links

  • General Mathematics Links from Theorem.Net
  • Mathematics Resources From the Chico High School Library [18]
  • Mathematics Graphics Gallery [visuals]

    Home Pages &

    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  • Mathematics Resources Web Servers
  • Mathematics WWW Virtual Library
  • The Math Forum
  • ThinkQuest Library of Entries
  • Philosophy of Science
  • ThinkQuest
  • Mathematical Gateways to the WWW
  • MathGuide
  • Mathematics Resources
  • Mathematical Atlas: A gateway to Mathematics
  • Internet Resources: Mathematics
  • INTERNET RESOURCES
  • Netscape Math
  • Lessons and references
  • Online Books and Lecture Notes in Mathematics
  • Mathematics Archives - Lessons, Tutorials and Lecture Notes
  • RESOURCES IN MATHEMATICS
  • Mathematics Resources on the Internet
  • interMATH: Main Page
  • Nerd Wide Web MATHEMATICS Resources
  • Math UW
  • Web Mathematics Journals
  • MegaMathematics
  • math archives Topics in Mathematics
  • MathPages
  • Mathematical Problems - Professor David Hilbert
  • Mathematicians
  • LANL Research Library: Mathematics
  • Handbook for Mathematics Teaching Assistants
  • HyperMath
  • The MacTutor History of Mathematics archive
  • Christer's pages of Logic, Math and reasoning.
  • The Math Forum
  • Penn State Algebra and Number
  • ExploreMath
  • Chinese International School
  • Mathematics Resources
  • Mathematics Archives
  • Mathematical Sciences
  • Fantastic Math Tricks by Marmalade_man
  • DiscoverySchool.com
  • ASYMPTOTIC APPROXIMATIONS FOR SYMMETRIC ELLIPTIC INTEGRALS
  • EMIS The European Mathematical Information Service
  • Research Units Max-Planck-Institut für Informatik (MPII)
  • Cornell Theory Center Math and Science Gateway [High School]
  • Florida Web Guide
  • The Existential Theory of Equations with Rational Constraints in Free Groups is PSPACE-Complete
  • Math, Statistics, and Computational Science [NIST]
  • Major Resource Kit Mathematics [TEMP]
  • Somos Polynomials
  • Experimental Mathematics and Visualization
  • Mathematical Art of M.C. Escher -- Platonic Realms
  • Andries E. Brouwer
  • Algebraic Topology
  • LISTSERV?site search
  • Math Archives
  • Mathematical Association of America: MAA Online
  • Math Forum
  • MathSoft Constants [& Links]
  • Mathematics web sites around the world
  • Contents of Numerical Algorithms
  • Busy Beaver
  • The Genetic Beaver Project
  • kyungsung univ [???]
  • Frank Potter's Science Gems - Mathematics
  • IMACS Mathematics
  • cut-the-knot collection
  • Noam D. Elkies Math Links
  • GEOMETRY AND PHYSICS OF BRANES
  • LMS Research Meetings Committee
  • Math Forum: Famous Problems in the History of Mathematics
  • Math Forum Internet Mathematics Library
  • Math-Teacher [???]
  • Math Forum Home Page
  • MATH-abundance
  • Sekino's Fractal Gallery
  • Topology Atlas
  • MathPages
  • Electronic Library of Mathematics Mathematical Journals
  • Math Quad
  • World Lecture Hall
  • Mathematical Limericks
  • Mathematics beyond Dartmouth [****]
  • Mathematics Resources on the Internet
  • Vivisimo Search on "real analysis" [?!?!]
  • MathNerds
  • Mathematics resources
  • MATLAB Educational Sites
  • A+ Research - Math
  • MATH-abundance
  • PcGive Help
  • ThinkQuest Library : Math [HS}
  • Other Mathematics Service Providers
  • Maths A-Level Revision Site
  • U No Car Charlotte MATHEMATICS RESOURCES
  • StudyWeb [school subscription]

    Mathematics - History

    Courses

    Notes

    Links

    Home Pages &

  • MacTutor History of Mathematics archive
  • MacTutor History of Mathematics archive [alt]
  • 1
  • Websites relevant to the History of Mathematics
  • History Topics Index
  • ThinkQuest Library of Entries - Mathematics History
  • Tokens: the origin of mathematics
  • Mesopotamian Mathematics
  • overview of Babylonian mathematics
  • Mesopotamian Mathematics
  • BABYLONIAN ASTRONOMY AND ALGEBRA
  • Tara Shadle's Home Page
    "Babylonian numeration" "sexagesimal numbers"
  • Babylonian numerals
  • Babylonian Mathematics and Sexagesimal Notation
  • Babylonian Mathematics
  • overview of Egyptian mathematics
  • Egyptian Fractions
  • Egyptian Fractions
  • Egyptian Fractions
  • Egyptian Fractons
  • Algorithms for Egyptian Fractions
  • Ancient Greek mathematics
  • First Use of Zero and Negative Numbers
  • Ancient India's Contribution to Mathematics
  • Ancient Indian mathematics
  • Arabic/Islamic mathematics
  • Mayan mathematics
  • History of Algebra
  • History of Algebra [under construction]
  • Japanese Temple Geometry
  • Famous Curves Index
  • Quadratic, cubic and quartic equations -history
  • CHRONOLOGY OF RECREATIONAL MATHEMATICS

    R P Langlands Program

  • R P Langlands - Wolf Prize
  • Work of Robert Langlands
  • Progress on the Langlands Conjectures
  • Representation Theory of p-adic Groups
  • The Langlands program
  • Search page
  • Hilbert’s Problems

    Games and Puzzles

    Alphametics
  • Famous Curves Index
  • Magic Squares
  • Magic Squares [elem]
  • Flexagon Re'flex'ions - Home Flex
  • Sacred Geometry: The Magic Square of the Sun
  • ZEITSCHRIFT FÜR PAPYROLOGIE UND EPIGRAPHIK
  • Generalized Magic Objects
  • Magic Squares Applet
  • Pythagorean Tarot
  • Magic Figures
  • MAGIC SQUARES and PERFECT SQUARES
  • Grog's Magic Squares
  • Recmath Home Page
  • Magic Figures
  • Magic Squares Enthusiast - Northamptonshire Magicians
  • MOST-PERFECT PANDIAGONAL MAGIC SQUARES
  • Magic Squares
  • CHRONOLOGY OF RECREATIONAL MATHEMATICS by David Singmaster
  • CHRONOLOGY OF RECREATIONAL MATHEMATICS by David Singmaster
  • Cryptarithms, Mathematics, Education, Fun
  • Primer on Cryptarithmetic
  • Alphametics
  • Journal of Recreational Mathematics
  • PUZZLES
  • Sir Roger Penrose
  • Dr. Soifer's Frames Index
  • Recreational Mathematics
  • The Math Hobbyist
  • Recreational Mathematics
  • Topics in Recreational Mathematics
  • Interactive Mathematics Miscellany and Puzzles
  • Guide to Sources of Information about Recreational Mathematics
  • Instructions for using Java Kali
  • Penrose Tiling at Miami University
  • Polyomino tiling
  • Patterns in Primes
  • fx 404
  • Recreational Mathematics: Prime Numbers 101
  • Packomania (52C17)
  • Mega Math Resources
  • Online Resources for Mathematics in the Scientific Virtual Reference Desk
  • Mathematics and Recreational Mathematics
  • Recreational Mathematics
  • The Lighter Side of Mathematics
  • Recreational Mathematics Topics
  • Other mathematical web sites
  • Recreational Mathematics [Subsc]
  • Mathemagical & Computer Recreations
  • U of Toronto -- Problems and Puzzles
  • Puzzling World of Barry R. Clarke
  • Keith Numbers
  • Integer Programming in Recreational Mathematics
  • Recreational Mathematics Collection
  • Magic Stars, Squares and Other
  • Recreational Mathematics Topics
  • Recreational Mathematics
  • Recreational Mathematics Resources
  • Baywood.com - Preview Journal
  • Recreational Mathematics
  • Interactive Mathematics Miscellany and Puzzles
  • KaBoL
  • HAKMEM
  • West
  • Skidmore College Problem Group
  • William Lowell Putnam Mathematical Competition
  • Mathpuzzle.com
  • Sliders Puzzle
  • Rubik's Magic Cube
  • Golomb ruler table
  • Golden section ratio: Phi
  • Power Page
  • Profession Jokes - Mathematicians
  • Mathematical Quotation Server
  • Number-Theoretic Hacks
  • Circle Game Packing circles within a circle turns a mathematical surprise

    Logic and Mathematics

    Courses

  • Logic and Mathematics
  • Mathematical Logic. Around Goedel's Theorem

    Notes

  • Frequently Asked Questions in Mathematics
  • Notes on set theory
  • intuitivistic solution of the Continuum Hypothesis for definable sets and resolution of the set theoretic paradoxes
  • Meaning and the Problem of Universals
  • Century of Controversy over the Foundations of Mathematics
  • Philosopher Jokes

    Links

  • Logic Links
  • Mathematical Logic around the world
  • Logic Eprints
  • bibliography of constructive mathematics
  • Links to people working in Set Theory
  • Metamath Site Selection
  • Metamath Site Selection

    Home Pages &

  • History and Philosophy of Logic and Mathematics
  • PHILOSOPHIA MATHEMATICA
  • Journal of Formalized Mathematics
  • Institute for Logic at the University of Vienna
  • New Foundations home page
  • bibliography of constructive mathematics
  • UF Logic and Set Theory
  • MODERN LOGIC

    Symbolic Logic - General


    See also Mathematics - Boolean Alegbra

    Courses

    [TEMP]
  • Logic I [Syllabus ]
  • Teaching Reasoning using Heterogeneous Logic
  • On the Model Theory of Knowledge

    Notes

  • Catholic Encyclopedia - Logic [History]
  • Meanings of Logical Constants
  • Boolean Algebra

    Links

  • stupidity.com - Resources

    Home Pages &

  • Laboratory for Symbolic & Educational Computing
  • Home page "www.logic.at"
  • PHL 245
  • Logic and Philosophy of Logic
  • Willard Van Orman Quine 1908 - 2000 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  • Mathematical Logic around the world [Repeat]
  • INTERPRETING FORMAL LOGIC 404
  • Introduction to Mathematical Logic
  • Boolean Algebra
  • Boolean Algebra
  • Rhodes University Department of Computer Science
  • Prolog IV [software]
  • Ryckman's Logic Works
  • Courses
  • Introduction to Mathematical Logic
  • Welcome to Logic Eprints [Repeat]

    Sentential Logic

    Courses

    Notes

    Links

    Home Pages &

  • Philosophy 102 Notes on Sentential Logic
  • Propositional Logic Examples
  • Proof Strategy for Sentential Logic
  • Logic Daemon
  • Mathematical Logic. Part 2. Propositional Calculus

    Courses

    Notes

    Links

    Home Pages &

    First-order Predicate Logic

  • PREDICATE LOGIC I
  • PREDICATE LOGIC I
  • Predicate Calculus
  • Model Theory of Fields Suggested Reading
  • Model Theory and Infinite Permutation Groups at UEA [???]

    Second-order Predicate Logic

    Courses

    Notes

    Links

    Home Pages &

    Alternative Logic

    Courses

    Notes

    Links

    Home Pages &

  • MULTI-VALUED LOGIC [links]
  • IEEE CS Technical Committee on Multiple-Valued Logic
  • [TEMP]
  • MANY-DIMENSIONAL MODAL LOGICS: THEORY AND APPLICATIONS
  • MOT - MODAL LOGIC

    MetaLogic

  • Gödel and sound sets
  • Metalogic B1: decision processes - abelard
  • Modernity of Aristotle’s Logical Investigations
  • Hunter-Hofstadter Map
  • Russell’s Paradox

    Model Theory

    Courses

    Notes

    Links

    Home Pages &

  • 4. Interpretations (Model Theory)
  • Model Theory of Fields Suggested Reading
  • Fundamentals of Model Theory
  • Fundamentals of Model Theory
  • Critics of the model theory of deduction [also @ Proof Theory]
  • Finite Model Theory Homepage
  • Proof Theory as an Alternative to Model Theory

    Computability and Recursion theory

    Courses

    Notes

    Links

    Home Pages &

  • Computability and Unsolvability Pages
  • Researches in the field of Classical Logic
  • Association for Symbolic Logic
  • Bibliographic Database for Computability Theory
  • page about quines
  • Computability theory
  • Computability Theory
  • Logic Software from CSLI
  • Journals
  • Computability Theory
  • Abstract Service for Mathematical Logic
  • Computability Theory of Hyperarithmetical Sets
  • Theory of Computation
  • G J Chaitin Home Page
  • Web Pages SIGACT
  • CCA Related Groups
  • Computability
  • Computability and Complexity
  • Schools Using Scheme
  • Turing Machine simulator
  • ALGORITHMIC INFORMATION THEORY

    Proof Theory

    Courses

    Notes

    Links

    Home Pages &

  • Critics of the model theory of deduction [also @ Model Theory]
  • Proof Theory on the eve of Year 2000
  • Semantics and Proof Theory of an Intuitionistic Modal Sequent Calculus
  • Philosophy The identity of proofs [below]
  • Philosophy The identity of proofs [above]
  • Proof Theory [links]
  • Martin-Löf Type Theory: Semantics and Proof Theory
  • Research topic summaries

    MetaMathematics

    Courses

    Notes

    Links

    Home Pages &

  • Formal Metamathematics
  • Century of Controversy over the Foundations of Mathematics [***]
  • MINDS, MACHINES, AND METAMATHEMATICS CONSTRAINTS ON THE MATHEMATICAL OBJECTION TO MECHANISM
  • CONTINUUM HYPOTHESIS
  • Metamathematics
  • Mathematics with a metamathematical flavour
  • Constructive Mathematics
  • MATHEMATICAL STRUCTURES ???
  • Centre for Experimental and Constructive Mathematics
  • Computational Platonism
  • Metaphysics Research Lab
  • Fundamenta Mathematicae
  • Practical Foundations of Mathematics
  • New Foundations home page
  • LFCS Postgraduate Course inthe Theory of Computation

    Set Theory

    Courses

  • Theories of Sets Readership
  • Axiomatic Set Theory 2.1. Origin of Cantor's Set Theory
  • Set Theory
  • Issues in commonsense set theory
  • problem-set/set.theory [???]
  • Issues in commonsense set theory
  • CONTINUUM HYPOTHESIS

    Notes

  • history of set theory
  • Set Theory
  • OPERATIONAL SET THEORY
  • Variants of Classical Set Theory and their Applications
  • Set Theory
  • Set theory
  • COFINALITY AND REGULAR & SINGULAR ORDINALS
  • Survey of Venn Diagrams
  • Transfinite Numbers and Set Theory

    Links

  • SET THEORY PAGE
  • Martin Flashman's Logic and Set Theory Web Surfing Page [Links]

    Home Pages &

  • Fixed Point Theory on the Web
  • Set Theory homepages
  • PROGRAMMING WITH {SETS} [Lang: Z,SETL,MIRANDA]
  • BOUNDED SET THEORY: Home Page
  • Electronic Bulletin of the Rough Set Community
  • Axiom of Choice
  • Set Theoretic Analysis
  • Peter Aczel: Departments of Mathematics and Computer Science ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  • Journal of Formalized Mathematics,
  • Tarski Grothendieck Set Theory
  • Einstein's Revenge
  • Journal of Formalized Mathematics, Index of MML Identifiers
  • WebRing: hub
  • Logic, Computability, and Uncomputability
  • Section c Courses for Examination in 2001 (list approved Trinity Term 2000)
  • two hyper-textbooks in mathematical logic
  • Introduction to Mathematical Logic
  • Around Goedel's Theorem. What is Mathematics. Incompleteness, Set Theory. By K.Podnieks

    Catagory Theory

    Courses

    Notes

    Links

    Home Pages &

  • Categorical Geometry
  • Pure Functions

    Model Theory

    Courses

    Notes

    Links

    Home Pages &

    Combinatorics

    Courses

    Notes

    Links

    Home Pages &

  • Dictionary of Combinatorics
  • Combinatorial Catalogues
  • Electronic Journal of Combinatorics
  • American Scientist
  • Graph Theory in Practice
  • Examples of Magma code

    Sequences

    Courses

    Notes

    Links

    Home Pages &

  • sequences@research.att.com
  • Sequence Puzzles and Problems
  • Journal of Integer Sequences
  • The On-Line Encyclopedia of Integer Sequences
  • EMIS The European Mathematical Information Service Explanation of Terms Used in Reply From
  • ALGORITHMS AND COMPLEXITY ALCOM II
  • J is a modern, array oriented, high level, high performance, general purpose programming language APL-like
  • Computer Science Directory
  • How To Guess a Generating Function Stories about groups and sequences
  • Erdös Number Project
  • The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
  • SIAM News Online
  • Mathematical visualizations and animations
  • Mathematics Archives WWW Server

    Arithmetic

    Courses

  • Contents of 'Numbers'

    Notes

    Links

    Home Pages &

  • Surreal Numbers
  • The On-Line Encyclopedia of Integer Sequences
  • BHS Academic Team Subject Area Research Index
  • WebMuseum network
  • The Icon Programming Language
  • The ARTFL Project
  • Websters Unabridged Dictionary 1913
  • Online Dictionary - DataSegment.com
  • On-line Mathematics Dictionary
  • Distributed Computing
  • On The Rapid Computation Of Various Polylogarithmic Constants

    Number Theory

  • 1 Phylotaxis
  • Figurate Number
  • Prime Pages
  • Number Theory at University of Texas
  • Mathematics of Fermat's Last Theorem
  • Number Theory Web
  • Number Theory Web (American Site)
  • Mathematics Archives - Number Theory
  • Classification of numbers
  • Introduction to Number Theory
  • Elementary and Analytic Number Theory
  • Wonders of Numbers Clifford A. Pickover [book]
  • All Numbers Are Interesting: A Constructive Approach
    Smith numbers
  • Smith Numbers
  • Problem D: Smith Numbers
    Fibonacci numbers
  • Fibonacci Numbers
  • Fibonacci Numbers Spelled Out
  • Fibonacci Numbers
  • FIBONACCI Numbers Formulae
    Lucas numbers
  • Fibonacci and Lucas Factorizations
  • formula for the Lucas Numbers involving Phi and phi
  • Rational Poly-Exponential Functions - Lucas numbers
    Bell numbers
  • Bell number diagrams
  • Bell number diagrams
    Catalan numbers
  • Enumeration of the Binary Trees (Catalan numbers).
  • INTRODUCTION The Catalan Numbers
  • Catalan Structures
  • On-Line Encyclopedia of Integer Sequences!
  • Macdonald Polynomial Web Page
  • Catalan numbers
  • Catalan Numbers
    Euler numbers
  • Euler Numbers
  • Rational Poly-Exponential Functions - Euler numbers
  • PROJECT GUTENBERG OFFICIAL HOME SITE -- Listing by AUTHOR
  • Bernoulli and Euler's Numbers
  • Special Numbers
    Star numbers
  • Sequence A003154
    Perfect numbers
  • Perfect, amicable and sociable numbers
  • Perfect numbers
  • On a Generalization of Perfect Numbers
  • The Multiply Perfect Numbers Page
  • Concise Encyclopedia of Mathematics CD-ROM
  • Geometry.Net - The Online Learning Center
  • WWW Interactive Mathematics Server
  • Introducing Knots
    Multiply perfect numbers

  • Skewes's number
  • 2
  • Lingua Franca - February 2001| Hypothesis: Larger Than Life
  • Challenge of Large Numbers
    Lucky numbers - Heegner
  • Prime-Generating Polynomial
    Bernoulli numbers
  • Bernoulli numbers and polynomials
  • Factorization results
  • DLMF: Bernoulli and Euler Numbers and Polynomials
  • Bernoulli numbers and polynomials
    Liouville numbers
    Euler function
  • Euler Function and Theorem
    Latin squares
  • Latin Squares
  • Graeco-Latin Squares
  • Uses of semi-Latin squares
  • Completing Latin Squares
  • Multiple Latin squares
  • Orthogonal Latin Squares as Skew Lines
  • A Pair of Orthogonal Latin Squares of Order 10
  • Latin Squares
    Fermat primes
  • Generalized Fermat Prime Search
  • Mersenne and Fermat primes field
  • Generalized Fermat Prime Search
  • Prime factors k.2n + 1 of Fermat numbers Fmand complete factoring status
    Carmichal primes
    Wilson primes
  • The Prime Glossary: Wilson prime
    Germain primes
  • The Largest Known Primes
  • Sophie Germain Prime
  • The Prime Page's Links++: theory/special_forms/Sophie_Germain
  • RSA exchanges
    Mersenne primes
    Farey sequences
  • Farey sequences
  • Farey sequence
  • Gap Theory
  • Linas' Art Gallery
  • The Farey Room
  • Egyptian Fractions
  • The Arithmetic of Nichomachus of Gerasa
    Pierce sequences
    Factorials
  • Status, n!/k!+-1 (n>k, k>3)
  • Linear Fractional Transformations
  • Finding the Prime Factors of a Number
  • k
  • Fact Monster: Online Almanac, Dictionary, Encyclopedia, and Homework Help
  • Binomial Formulas
  • Al-Sabi Thabit ibn Qurra al-Harrani
    for n > 1, let pn = 3.2n-1 and qn = 9.22n-1-1. If pn-1, pn, and qn are prime numbers, then a = 2n pn-1 pn and b = 2nqn are amicable numbers while a is abundant and b is deficient. Note that an abundant number n satisfies S(n) > n, and a deficient number n satisfies S(n) < n. 220 , 284 ; 17296, 18416
  • amicable numbers
  • Perfect, amicable and sociable numbers
  • Overview of "Mathematician's Secret Room"

    Algebra

    Courses

  • Algebraic Systems
  • Algebraic Systems
  • Abstract Algebra II
  • ABSTRACT ALGEBRA ON LINE

    Notes

  • Matrix Composition [?]

    Links

  • Abstract Algebra
  • Penn State Algebra and Number

    Home Pages &

  • Catalogue of Algebraic Systems ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  • The Art of Algebra by Karen H. Parshall [hist]
  • Pure Mathematics [math]
  • Algebra I [temp]
  • Front for the Mathematics ArXiv
  • ABSTRACT ALGEBRA Second Edition
  • Automatic Theory Formation in Pure Mathematics

    Graph Theory

    Courses

    Notes

    Links

    Home Pages &

  • graph theory and its applications -- graph theory resource
  • Research Group on Graph Theory and Combinatorics
  • Graph Theorists' Home Page Guide

    Group Theory

    History

  • The development of group theory
  • MathTabriz Group Theory

    Courses

  • Dog School of Mathematics Introduction to Group Theory [basic]
  • Algebraic Systems [good]
  • Introduction to Group Theory [Rubik's Cube]
  • Group theory basics [***]
  • Course 311 - Abstract Algebra [DVI], [PDF], [PostScript]
  • Group Theory

    Notes

  • ATLAS of Finite Group Representations
  • Symmetric Presentations
  • Symmetry Operations and Character Tables
  • Character tables for chemically important point groups
  • Group Theory & Rubik's Cube
  • Groups of small order
  • Examples of (Infinite Order) Groups [physics]
  • Classification of the finite simple groups
  • Classification of Finite Simple Groups
  • GROUP THEORY
  • Dodecahedral Faces of M12
  • Problems on Permutation Groups
  • 3

    Links

  • Permutation groups resources
  • Permutation groups resources
  • Combinatorial Representation Theory
  • Open Directory - Group Theory
  • Lie groups (in particular, exceptional) homepages

    Home Pages &

  • Permutation groups
  • Mathematics Institute - Research Areas
  • Matroid Theory
  • Journals and Preprints ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  • Development of Group Theory [hist]
  • Mathematics Site: J.S. Milne
  • GROUP THEORY [physics]

    Group Theory - Software

  • Computer Algebra Information Network
  • Systems related to Group Theory MeatAxe
  • C MeatAxe Release
  • Magma: General Information
  • Vector Enumeration Programs, version 3.04
  • GAP - Groups, Algorithms and Programming
  • Schur Group Theory Software
  • Schur Group Theory Software
  • New York Group Theory Cooperative [Magnus Software ]
  • GAP - Groups, Algorithms and Programming
  • Tutorial Introduction to the Coxeter and Weyl Packages
  • Systems related to Group Theory

    Group Theory - Geometry

    Courses

    Notes

    Links

    Home Pages &

  • Diamond Theory : Symmetry in Finite Geometry
  • Group Theory of Wallpaper Patterns
  • Geometry Junkyard: Symmetry and Group Theory
  • Geometry Junkyard: Symmetry and Group Theory
  • Geometric Group Theory
  • PLATONIC BODIES
  • Groups and Symmetry
  • Matrix Notation for Geometric Transformations
  • Groups and Geometry

    Group Theory - Science

    Courses

    Notes

    Links

    Home Pages &

  • Symmetries in Physics
  • Timeline of Symmetry in Physics, Chemistry, and Mathematics
  • Symmetries in Physics
  • Group theory applications in physics
  • Chem239. Symmetry, Structure and Spectroscopy: Group Theory and its Applications
  • Point Groups
  • Net Advance of Physics : GROUP THEORY AND ALGEBRA
  • Symmetry in Chemistry - Group Theory
  • PX3104 Techniques in Theoretical Physics
  • Symmetry in Quantum Mechanics
  • Crystallographic Groups Catalog
  • Group Theory
  • TRANSPORT PROCESSES [???]
  • Character tables for chemically important point groups [also @ Character tables]
  • Cn Character Tables
  • Philosophy of Science
    Group Theory
    abelian groups ,
    alternating groups ,
    cyclic groups ,
    dihedral groups ,
    exceptional groups ,
    finitely presented groups ,
    free groups ,
    intransitive groups ,
    lie groups ,
    linear groups ,
    nilpotent groups ,
    normal groups ,
    orthogonal groups ,
    permutation groups ,
    polycyclic groups ,
    simple groups ,
    soluble groups ,
    sporadic groups ,
    Sylow p-subgroup ,
    symplectic groups ,
    transitive imprimitive groups ,
    transitive primitive groups ,
    unitary groups ,

    character tables ,
    presentations ,
    representation ,
    symmetric presentations ,

    Ring Theory

    Courses

    Notes

    Links

    Home Pages &

  • Finite Rank Torsion Free Modules Over Dedekind Domains
  • Lists of Ring Theorists
  • Commutative Ring Theory Webring Home Page
  • [No] problems in ring theory
  • Ring Theory Glossary
  • Introduction to Algebra [book]
  • Sample Algebra Questions
  • Integral Domains and Fields

    Physics - Field Theory

    Courses

    Notes

    Links

    Home Pages &

  • Topics in Nonequilibrium Field Theory
  • Quantum Field Theory
  • Unified Physics by 2050?
  • International Colloquium on Moden Quantum Field
  • Algebraic Quantum Field Theory
  • Unified Field Theory
  • Philosophical Foundations of Physics
  • SubQuantum Paradigm!
  • Field Theory - Publications Overview
  • Research on Theoretical Physics Quantum Field Theories
  • Supergravity ,A Supersymmetry
  • Ontology and Cosmology of Non-Euclidean Geometry
  • General Relativity and Quantum Cosmology, abstract

    Theory of Fields

    Courses

    Notes

    Links

    Home Pages &

  • FIELD ARITHMETIC ARCHIVE
  • introduction to algebraic K-theory
  • Model Theory of Fields Suggested Reading
  • Course Notes [Software is like sex: it's better when it's free." -- Linus Torvalds]
  • K-theory of fields in characteristic p
  • Descent problems for K-theory of fields of Galois cohomological dimension 1
  • What are the "real numbers," really?
  • b 404
  • Ordered Field Properties
  • real numbers
  • NUMBER SYSTEMS AND ANALYSIS Real Numbers
  • RINGS
  • It's Been Real
  • Number Systems -- Math
  • Real Numbers - some history
  • introduction to complex numbers
  • Dedekind's Real Numbers
  • Rules of Complex Arithmetic
  • Elliptic Curves and Elliptic Functions
  • CLISP implementation notes
  • SMILE PROGRAM MATHEMATICS INDEX
  • Complex Numbers
  • Nested Interactive Array Language

    Topology

    Courses

    Notes

    Links

    Home Pages &

  • Topology Glossary
  • Symmetry and the Shape of Space
  • Topology Atlas
  • Geometry and Topology
  • Topology Glossary
  • Topology and Geometry Software
  • Links to websites related to algebraic topology [Links]
  • Textbook in Problems on Elementary Topology
  • Net Advance of Physics: GEOMETRY and TOPOLOGY
  • Topology - Mathematics and the Liberal Arts
  • Transpennine Topology Triangle Homepage
  • OPEN Problems in Topology [The reader needs to be familiar with TeX]
  • Topology [links]
  • Links to low-dimensional topology [Links]
  • Topology [Links]
  • Mark Hovey's Algebraic Topology Problem List
  • Rob Kirby [Links]
  • Algebraic Topology by Solomon Lefschetz
  • Primer on Algebraic Topology and Distributed Computing
  • Geometric and Topological Methods in Concurrency Theory
  • Hopf Topology Archive!
  • Algebraic Topology
  • Oingo: "Topology"
  • Links to algebraic topologists' websites [dupe ???]
  • Topology of Manifolds Supersymmetry and QFT
  • Brief History of Topology
  • GN General Topology
  • British Topology Home Page
  • Topology
  • Four Color Theorem
  • Topology Glossary

    Metric Space

    Courses

    Notes

    Links

    Home Pages &

  • Analysis WebNotes: Chapter 05, Class 21
  • complete metric space
  • NOTES ON HILBERT SPACE
  • Wikipedia: Metric space
  • Metrics and Complexity
  • Iterated function systems
  • Links to My Favorite Sites [!!]
  • definition of open sets in a metric space
  • Normed Linear Spaces http://www.nist.gov/dads/ http://foldoc.doc.ic.ac.uk/foldoc/index.html http://www.ciw.uni-karlsruhe.de/kopien/babel.html

    Geometry

    http://www.ping.be/~ping1339/foci.htm http://aleph0.clarku.edu/~djoyce/java/elements/toc.html http://www.cut-the-knot.org/pythagoras/Pappus.shtml
    Steiner points http://www.dcc.uchile.cl/~gnavarro/abstracts/imr00.html http://www.css.tayloru.edu/~agriffis/steiner/doc/steiner.html http://csdocs.cs.nyu.edu/Dienst/UI/2.0/Describe/ncstrl.nyu_cs%2FTR1996-724
    Kirkman points http://mathworld.wolfram.com/KirkmanPoints.html
    Salmon points http://mathworld.wolfram.com/SalmonPoints.html
    Plucker lines
    Cayley lines http://mathworld.wolfram.com/CayleyLines.html
    Pascal mystical hexagram
    Nine point circle
    Desaguarses? Triangle
    Pappaus? theorm

    Courses

    Notes

    Links

    Home Pages &

  • Symbolic Sculpture or Mathematics
  • Geometry Center
  • Communications in Visual Mathematics
  • infoplease.com Geometry
  • Geometry Center Geometry Center
  • Geometry Formulas and Facts
  • Web3D
  • Experiments with VRML
  • The History of GEOMETRY
  • Neutral and Non-Euclidean Geometries
  • Categorical Geometry
  • Algebraic Geometry
  • HOMOGENEOUS TRANSFORMATION MATRICES
  • What is geometry?
  • HOMOGENEOUS COORDINATES: METHODS
  • Wilson Stothers' Cabri Pages - Geometric Proofs
  • 3.9 Menelaus and Ceva
  • History of GEOMETRY
  • History of Geometry
  • Euclid's Mathematical System
  • Neutral and Non-Euclidean Geometries
  • Monge = Desargues
  • Pascal's Theorem
  • Cut-The-Knot Links2Go Homepage
  • FOM: 79:Axioms for geometry
  • Understanding Projective Geometry
  • Paper Folding Geometry
  • Various Geometries
  • EUCLID'S GEOMETRY: History and Practice
  • Mathematics on the Web
  • Non-Euclidean Geometry
  • Standards for School Mathematics: Geometry
  • Kosmoi: Science: Mathematics: Geometry
  • Grolier Encyclopedia. Euclidean Geometry
  • Math_Axioms
  • Modern Geometry
  • Von Plato's Axiomatization of Constructive Geometry

    Analytic Geometry

    Courses

    Notes

    Links

    Home Pages &

  • ANALYSE COMPLEXE ET GEOMETRIE ANALYTIQUE
  • Analytic Geometry (in a plane)
  • Three dimensional models based on the works of M.C. Escher
  • Analytic geometry 2 http://www.ping.be/math/Pana.htm

    Affine Geometry

    Courses

    Notes

    Links

    Home Pages &

  • Affine Transformation
  • Affine Geometry and Transformations
  • Introduction to Computer Graphics [***]
  • HOMOGENEOUS TRANSFORMATION MATRICES
  • HOMOGENEOUS COORDINATES: METHODS
  • Affine Geometry in glossary
  • Their Relationship to Each Other
  • Fundamental Types of Metric Affine Spaces
  • Exploring Desargues Theorem
  • stratification of 3D geometry
  • classification of conics in affine geometry
  • Interactive mathematics on the internet
  • Distributed Encyclopedia of Sciences
  • The Klein View of Geometry
  • Main Klein Page
  • Wilson Stothers' Geometry Pages
  • Affine fixed
  • Geometry Index
  • Geometry Theorem Prover
  • THEORY OF SYMMETRY AND ORNAMENT
  • SYMMETRY AND ORNAMENT
  • Hierarchy of Geometries
  • OROGeo - Coordinate Free Geometry Package for Java
  • Geometries
  • euclidean geometry
  • Algorithmic Solutions Software GmbH - Research

    Projective Geometry

    Courses

    Notes

    Links

    Home Pages &

  • Projective Plane
  • Introduction to Projective Geometry
  • Projective Geometry
  • Projective geometry
  • Principle of Duality in Clifford Algebra and Projective Geometry
  • Pencil of lines
  • Manipulating Points and Lines
  • Lecture Notes for Beutelspacher & Rosenbaum
  • Introduction to Projective Geometry (for computer vision)
  • Chain Geometry
  • Smooth stable and projective planes
  • NonEuclid

    Algebraic Geometry

    Courses

    Notes

    Links

    Home Pages &

  • Algebraic Geometry
  • Algebraic Curves
  • G1CAGE: ALGEBRAIC GEOMETRY
  • EAGER - European Algebraic Geometry Research Training Network
  • Algebraic Geometry
  • Algebraic Geometry Notebooks for Non-experts
  • Sundry Algebraic Geometry and Commutative Algebra Sites [Links]
  • Commutative Algebra & Algebraic Geometry [TEMP]
  • AGATHOS Algebraic Geometry: A Total Hypertext Online System
  • Arithmetic Algebraic Geometry
  • Algebraic Geometry Seminar
  • Noncommutative Geometry and Operator Algebras in Cardiff
  • surf - Home [software]
  • Steiner Surfaces
  • Promotion of Researches in Algebraic Geometry for MAThematicians in Isolated Centers
  • Projective Geometry

    Differential Geometry

    Courses

    Notes

    Links

    Home Pages &

  • GANG | Geometry Analysis Numerics Graphics
  • Lecture notes for the course in Differential Geometry
  • Differential Geometry Page
  • MAPLE resources
  • Advanced Descriptive Geometry
  • Brief Course Materials for Various Courses
  • Introduction to Differential Geometry and General Relativity
  • Dynamics in one complex variable: introductory lectures
  • Visual Interactive DIfferential GEOmetry
  • Introduction to Differential Geometry and General Relativity [dupe]
  • Natural operations in differential geometry
  • Differential Geometry in Torino [Links]
  • AMS Online Books/SURV53 Convenient Setting of Global Analysis
  • DG Differential Geometry
  • John Oprea's Home Page
  • Differential Geometry Group
  • Differential Geometry [links]
  • Maple Application Center

    Continuous Geometry

    Courses

    Notes

    Links

    Home Pages &

    Vector Geometry

    Courses

    Notes

    Links

    Home Pages &

  • Tina Maths Library
  • Mult. Variate Calc: Table of Contents
  • MATHEMATICS RESOURCES [dupe]
  • Introduction to 3D Vector Analysis
  • Mapping Software
  • bf 404

    Vector Analysis

    Courses

    Notes

    Links

    Home Pages &

  • HOMOGENEOUS TRANSFORMATION MATRICES
  • Vector Analysis
  • Vector Land An Introduction to 3D Vector Analysis
  • Vector Rose 3.0 for MacOS
  • ORTHOVEC: Version 2 of the REDUCE program for 3-D vector analysis in orthogonal curvilinear coordinates
  • Vector Analysis
  • iVec Module - Geotechnical Stereonet and Vector Analysis

    Combinatorial Geometry

    Courses

    Notes

    Links

    Home Pages &

  • Combinatorial Geometry
  • Graph Theory Tutorials
  • Catalogue of Lattices
  • Encyclopedia of Combinatorial Structures
  • Encyclopedia of Combinatorial Structures
  • Geometry Junkyard: Symmetry and Group Theory
  • On-line Dictionary of Combinatorics
  • George W. Hart - Index
  • Hyperbook of Combinatorics
  • Combinatorial Catalogues
  • Association schemes: Designed experiments, algebra and combinatorics

    Tilings and Tesselations

  • Wallpaper Groups
  • Totally Tessellated: An Introduction to Tessellations
  • Tessellation
  • Tilings and Tesselations
  • Tiling Stuff of J.L. King

    Pentonimoes

    Platonic Solids

  • mathsisfun Platonic Solids
  • PLATONIC BODIES

    Archimedean Polyhedra

  • Platonic and Archimedean Solids

    Kepler-Poinsot Polyhedra

  • Kepler-Poinsot Polyhedra **
  • Background Information
  • Platonic Solids and Their Symmetries [Occult]
  • Rotating Star Tetrahedra Animations & Platonic Solids
  • George W. Hart

    Crystallography

  • International Union of Crystallography
  • Crystallographic Groups Catalog
  • Crystallographic Groups Catalog
  • 5
  • 4

    Real Analysis

    Courses

    Notes

    Links

    Home Pages &

    Complex Analysis

    Calculus

    ???
  • Courses

  • Connected Curriculum Project - Duke
  • Calculus - a brief introduction
  • ThinkQuest Library of Entries
  • Multidimensional Integral Calculus Worksheets: Math 215
  • Numerical Analysis of Applied Partial Differential Equations
  • dansmath - lessons - calculus 1
  • World Web Math: Calculus Index
  • 8
  • MA1002 Integral Calculus
  • Mickey's Calculus In Context Materials
  • The Differential and Integral Calculi
  • mathNOTES on DIFFERENTIAL CALCULUS
  • Visual Calculus
  • Mrs. Sutorius - Calculus
  • QuickMath Automatic Math Solutions

    Notes

  • g
  • Math.com Online Solvers Calculus
  • QuickMath Automatic Math Solutions
  • X(PLORE) LABS [zip]
  • Brachistochrone Construction
  • The Roller Coaster or Brachistochrone Problem
  • Calculus of Variations -- from MathWorld

    Links

  • Mathematics Archives Calculus Resources On-Line

    Home Pages &

  • Calculus@Internet
  • computer algebra system
  • q
  • 3
  • r
  • Information for ACM 95/100
  • Handbook of Analysis and its Foundations ????
  • Series Solution of a Differential Equation
  • Linear Methods - Orthogonal series, boundary-value problems, and integral operators
  • Interactive Real Analysis
  • Math Archives
  • INTEGRAL TABLES
  • Integral Tables
  • Integration Forms
  • Table of Elementary Integrals
  • The Integrator
  • Real Analysis Exchange Website LATEX files
  • Radical Approach to Real Analysis
  • IRA: Interactive Real Analysis
  • Interactive Real Analysis [dupe above ?]
  • IRA: Interactive Real Analysis
  • IRA: Interactive Real Analysis
  • Calculus@Internet
  • Highlights in the History of Calculus
  • CALCULATORS ON-LINE CENTER
  • Introduction to The Gauge Integral
  • Mathematics Archives - Lessons and Tutorials
  • ck tml 404
  • Continuous Nowhere Differentiable Function
  • Harmonic Analysis Links
  • Introduction to Unified Analysis
  • Zandor's - Alessandro Rosa - Inwards To Chaos
  • Helpful Websites

    Nonstandard Analysis

    Courses

    Notes

    Links

    Home Pages &

  • Nonstandard Analysis
  • Non-Standard Analysis in ACL2
  • Practical Foundations of Mathematics
  • Introduction to Unified Analysis
  • What is nonstandard analysis?
  • Another View of Nonstandard Analysis
  • Introductory Calculus from the Viewpoint of Non-Standard Analysis
  • Hyperreal Numbers
  • Nonstandard Analysis and the Hyperreals
  • Real and Complex Analysis
  • Analysis WebNotes Homepage
  • Analysis WebNotes: Contents Page

    Counterexamples

    Counterexamples in
  • Counterexamples in Clifford algebras, spinors, spin groups and the exterior algebra
  • Causation and the Logical Impossibility of a Divine Cause
  • Darwin Fish and Evolve FISH Sales
  • 4 Counterexamples to on-line algorithms
  • Intuitive Counterexamples for Constructive Fallacies
  • Myths and Counterexamples in Mathematical Programming
  • Incorrect Diameter Algorithms for Convex Polygons
  • Beal's Conjecture: A Search for Counterexamples
  • Timing tests on three primality test formulations
  • Counterexamples Generation
  • Quantum Topology
  • Counterexamples for Directed and Node Capacitated Cut-Trees Andras A. Benczur
  • Fallacy Files
  • Bible Code and Hidden Messages (Skeptical Inquirer November 1997)
  • Role of Examples in Learning Mathematics
  • Automatic Proofs and Counterexamples for Some Ortholattice Identities

    Analysis Software

  • MathSoft
  • Mathematica
  • Maple
  • Derive?5
  • Applications of Mathematica, Maple and DERIVE
  • DERIVE DOCUMENTATION
  • Plotting the Monsters of Real Analysis
  • Computers and Computational Statistics
  • Sparse Matrix Algorithms Research at the University of Florida
  • Macaulay 2 home page
  • Abstract counterexamples
  • Mathematical Services : Mathematical Software

    Complex Analysis

    Courses

    Notes

    Links

    Home Pages &

    Banach Space

    Courses

    Notes

    Links

    Home Pages &

    Hilbert Space

    Courses

    Notes

    Links

    Home Pages &

    Numerical Analysis

    Courses

    Notes

    Links

    Home Pages &

  • NA-Net Home Page
  • numerical-methods.com
  • Jean-Pierre Moreau's Home Page NUMERICAL ANALYSIS
  • Math WWW VL: Software [FSU Math]
  • Scientific Computing FAQ: S.C., Numerical Analysis, and Associated Fields Resource Guide
  • WANDA Front Desk
  • Numerical Analysis of Applied Partial Differential Equations
  • Software for Large-scale Bound-constrained or Unconstrained Optimization L-BFGS-B is a limited-memory quasi
  • Theory of Computation Group
  • Applied Maths - Bioinformatics
  • Math Forum: Numerical Analysis
  • Perl for Numerical Analysis
  • Numerical methods
  • Scientific Computing FAQ: Finding Roots
  • Free Software
  • LASSPTools: Graphical and Numerical Extensions to Unix
  • Numerical methods [dupe]
  • Numerical Recipes Home Page
  • Numerical Analysis Group Home Page
  • SIAM Journal on Numerical Analysis
  • Numerical Analysis Group
  • MatLinks.net: numerical analysis
  • Numerical Analysis and Computational Mathematics Group
  • Numerical Analysis
  • IMA Journal of Numerical Analysis
  • NA Numerical Analysis
  • ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS
  • Free Software Download
  • Numerical Recipes in C
  • Numerical Analysis Objects - NAO
  • Object-Oriented Numerics Page
  • Object oriented numerical library for Delphi and CBuilder
  • Finite Element and Numerical Methods with Object Oriented Programming in C++ -- for Constrained Optimization, Variational Methods, and Matrix Computation

    Mathematical Programing

    Courses

    Notes

    Links

    Home Pages &

  • Nonlinear Programming Frequently Asked Questions
  • Global Optimization
  • Linear Programming Frequently Asked Questions
  • Mathematical Programming Glossary
  • LAMPS
  • 2

    Linear Programming

    Courses

    Notes

    Links

    Home Pages &

  • SIMPLEX METHOD OUTLINE FOR STANDARD MAXIMIZING PROBLEMS [***]
  • Comparison of Simplex Method Algorithms [***]
  • Combinatorial and Integer Optimization
  • Linear Programming
  • Linear Programming FAQ
  • Simplex Method Tool
  • Simplex Algorithm
  • Downhill Simplex Method
  • Linear Programming: Foundations and Extensions
  • Toward the Simplex Method
  • The Simplex Method: Standard Linear Programming Problems
  • Simplex Method
  • Network Simplex Method
  • Mathematical Programming Glossary Note: Cycling in the Simplex Method
  • Math-on-Web
  • Nonlinear Simplex
  • Welcome to tutOR
  • SIMPLEX METHOD
  • Simplex Method
  • Simplex Method---Klee-Minty Problems
  • Dual Simplex Method
  • Function Minimization by Simplex method
  • Simplex Method: A Method of solving Linear Programs
  • pysimplex: Mixed Integer Linear programming modules (beta 0.1)

    Statistics

    http://www.itl.nist.gov/div898/statlink.htm

    Theory of Equations

    Courses

  • Index of /Lecture Notes/Theory of Equations - NEIU [DVIscope]
  • THEORY OF EQUATIONS [DVIscope] HTML, GIF and LATEX DVI files
  • DVIscope [not course but use with above 2 ]
  • Table of Contents
    & Index of /Lecture Notes/Theory of Equations - NEIU [DVI]
    & THEORY OF EQUATIONS [DVI]
  • Polynomial Algebra and Roots of Polynomials

    Notes

  • Theory of Equations [basic]
  • Theory of Equations [!+-? misc ]
  • Fundamental Theorem of Algebra and Descartes's Rule of Signs [lesson]
  • Descartes's Rule of Signs [history]
  • Descartes's Rule of Signs [Rule as mod. Gauss & exmps]
  • Descartes?Rule of Signs [proof]
  • Theory of equations
  • G13NUM: NUMBER THEORY - Irreducibility Criteria
  • Weyl's Complex Polynomial Root­Finding Method:

    Links

    Home Pages &

    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  • DVIscope
  • 2
  • History of Economic Thought: Front Page OFF PAGE
  • Interactive Learning Network
  • Civil/Structural and Scientific Programs
  • History of Hypercomplex Numbers
  • DISSERTATION State Events in Continuous Modelling and Simulation
  • 7 404
  • introduction to complex numbers
  • 1
  • Factoring Papers [integers to primes]
  • Number Theory problems
  • School of Mathematical and Computational Sciences University of St Andrews $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  • Theory of Equations - Polynomial Functions
  • +1/3 1865 J. J. Sylvester [temp] Separation of Roots Theorem of Sturm P(x) with integral coefficients (whole #'s) If rational zeros exist, they are in the form of p/q, where p is a factor of a0(constant) and q is a factor of an(leading coefficient)
  • Equations, Theory of [TEMP]
  • Irreducibility Criteria
  • The Mathematical Atlas - Polynomials
  • The Mathematical Atlas - "Theory of Equations" "Eisenstein's Criterion"
  • Eisenstein's Criterion [mod & proofs]
  • Mathcad / Numerical Recipes Extension Pack
  • POLYNOMIAL EQUATION PROGRAM
  • Polynomials
  • Polynomials and complex numbers $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

    Organizations

  • American Mathematical Society
  • American Mathematical Society
  • American Statistical Association
  • European Mathematical Information Service
  • Institute of Mathematical Statistics
  • INTERNATIONAL STATISTICAL INSTITUTE
  • London Mathematical Society
  • National Council of Teachers of Mathematics
  • Society for Industrial and Applied Mathematics
  • American Mathematical Association of Two-Year Colleges
  • Association for Women in Mathematics
  • WOLF PRIZE RECIPIENTS IN MATHEMATICS
  • Electronic Library of Mathematics Mathematical Journals
  • Association for Symbolic Logic
  • Mathematical Programming Society
  • Mathematical Societies [LINKS]

    News

  • Science News MathTrek
  • EurekAlert
  • Electronic Journals Alphabet List @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@

    Statistics

  • Statistics and Statistical Graphics Resources [links]
  • A few links related to Statistics Education [links]
  • A few links related to Statistics Education {dupe]
  • Overview: Statistics *
  • Investigating.htm
  • Business Statistics: Revealing Facts from Figures
  • HyperStat Online: An Introductory Statistics Book and Online Tutorial for Help in Statistics Courses
  • Interesting and Useful Sites (topical category)

    Glossary

  • The Data Analysis BriefBook
  • The Internet Glossary of Statistical Terms
  • 3
  • A Glossary of Statistics
  • STAT! Statistics - Research Statistics **

    Statistics Data Sources

  • FedStats Home Page
  • National Center for Education Statistics (NCES) Home Page, a part of the U.S. Department of Education
  • U.S. Department of Labor Bureau of Labor Statistics
  • Bureau of Transportation Statistics
  • Statistics.com - Research Statistics and Statistical Analysis Directory
  • Statistics.com - Research Statistics and Statistical Analysis Directory Baseball
  • National Statistics - the official UK statistics site
  • Bureau of Justice Statistics Home page

    Statistics

  • DIG Stats: Descriptive Statistics **
  • UC BERKELEY PSYCH 1: Descriptive & Inferential Statistics
    Descriptive Statistics
    Mode
    Median
    Mean
    Central Tendency
    Variation
    Range
    Variance
    Standard Deviation
  • INTRODUCTORY STATISTICS: CONCEPTS, MODELS, AND APPLICATIONS [book]

    Inferential Statistics

  • Concepts and Applications of Inferential Statistics [book]
  • Concepts and Applications of Inferential
  • Inferential Statistics [book?]
  • HyperStat Online Contents
  • Statistical Data Analysis (Prof. Arsham's pages)
  • Inferential Statistics in the Behavioral Sciences Psych 103 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@

    Computer Science

    Courses

    Notes

    Links

    Home Pages &

  • http://www.math.montana.edu/frankw/ccp/multiworld/twothree/lighting/learn.htm
  • Lambertian Reflection Specular Reflection - Phong Reflection
  • Computing Links
  • Computer Science Journals
  • ACM Journals
  • Nelson Poynter Memorial Library
  • FOLDOC - Computing Dictionary
  • Web Dictionary of Cybernetics and Systems
  • Computer Science Bibliography
  • Web3D
  • Experiments with VRML
  • Computer Vision Handbook
  • Computer Algebra Information Network [links]
  • Symbolic and Algebraic Computation
  • Representation of Color Metrics and Mappings in Perceptual Color Space
  • GNU Scientific Library
  • GNU Scientific Library
  • Inverse Symbolic Calculator
  • CALCULATORS ON-LINE CENTER
  • Introduction to Projective Geometry (for computer vision)
  • Computer Graphics Research at Caltech
  • Learning Deterministic Finite Automata from Smallest Counterexamples
  • Artificial Intelligence II

    Software

  • Database Group Home
  • The GNU MP Home Page
  • NTL: A Library for doing Number Theory
  • SIS Mathematics Software
  • Mathematics Resources
  • NURBS
  • AML ViSLab UNIX SOFTWARE
  • Scientific Graphics Project
  • Interactive Mathematical Proof System
  • ACM Portal: ACM Digital Library
  • Product descriptions of the scientific software
  • Lambda the Ultimate
  • Lambda Programming Language Research
  • Math WWW VL: Software [FSU Math]

    Analysis Software

  • MathSoft
  • Mathematica
  • Maple
  • Derive?5
  • Applications of Mathematica, Maple and DERIVE
  • DERIVE DOCUMENTATION
  • Association of Shareware Professionals
  • Ricci A Mathematica package - tensor calculations - differential geometry
  • The REDUCE Computer Algebra System
  • Chartwell-Yorke Mathematics Software for Autograph, Cabri-Geometre, Derive, Fathom, LiveMath, MathType, StudyWorks Maths Deluxe and Supporting Books
  • techosoft AutoGeometer 2.01
  • Snocone Programming Language

    Cryptography

    Courses

    Notes

  • Cipher source code archive

    Links

    Home Pages &

  • Cryptography Books and Magazines
  • Distributions
  • Introduction to Fourier Theory
  • Handbook of Applied Cryptography
  • Cryptographic Algorithms
  • SSH Tech Corner
  • Ralph Merkle's Home Page
  • Yahoo! Security and Encryption
  • Steven Levy's Crypto Page
  • Mathematics Beyond Dartmouth
  • Tree -- from MathWorld
  • Cryptography and Security
  • Cryptography: An Investigation of a New Algorithm vs. the RSA
  • Elliptic Curves and Cryptography
  • PKI REFERENCES
  • The PKI page
  • Suggested readings in Algorithmic number theory
  • Strong cryptography makes the world a safer place
  • Canada's Golden Key Campaign
  • Handbook of Applied Cryptography: Links
  • Mad Cow ! Links to other Cryptography pages
  • brainfox.com cryptography
  • Cryptography
  • SCHEME OF INSTRUCTION
  • GATEWAY TO MODERN MATHEMATICS
  • Introductory Probability: Biometry
  • Geometry.Net Cryptography
  • CONSTRUCTING PUBLIC KEY CRYPTOSYSTEMS VIA COMBINATORIAL GROUP THEORY
  • German Enigma Cipher Machine - History of Solving
  • Codebreaking and Secret Weapons in World War II
  • Codebreaking and Secret Weapons in World War II
  • Foundations of Cryptography
  • CRC Lawsuit
  • RSA Laboratories | Cryptography FAQ
  • Working Group on Cryptology and Coding Theory National Science Foundation
  • EFF DES Cracker Project
  • DRIVECRYPT - RELEASED
  • DRIVECRYPT - RELEASED
  • Offline NT Password & Registry Editor
  • Jargon File - hacker slang http://members.chello.at/r.hirner/ http://www.uni-mannheim.de/studorg/gahg/PGP/cryptolog1.html http://home.netcom.com/~jrhowell/math/factor.htm http://math.hws.edu/TMCM/java/labs/xSortLabLab.html