- 1991 Mathematics Subject Classification (MSC) - Chris Eilbeck; Heriot-Watt University, Edinburgh
A hypertext version of the 1991 MSC. The main purpose of the classification is to help readers to find the items of present or potential interest to them as readily as possible - in MR, in Zbl, or anywhere else where this classification system is used.
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- A 27-Vertex Graph That Is Vertex-Transitive and Edge-Transitive But Not 1-Transitive [PDF] - Peter Doyle
A paper describing a 27-vertex graph that is vertex-transitive and edge-transitive but not 1-transitive. While all vertices and edges of the graph are similar, there are no edge-reversing automorphisms. PostScript, source, and PDF picture are available
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- Abelian Groups (Catalogue of Algebraic Systems) - John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
Definition, examples, structure, decision problems, spectra and growth, and references about Abelian Groups.
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- Abstract Algebra (Mathematics Archives) - University of Tennessee, Knoxville (UTK)
An extensive list of links to sites with information about abstract algebra, classified by level and type of resource.
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- Abstract Algebra On-Line - John A. Beachy; Dept. of Mathematical Sciences, Northern Illinois Univ.
A site that contains many of the definitions and theorems from the area
of mathematics generally called abstract algebra, with information on integers, functions, groups, polynomials, rings, fields, structure of groups, Galois theory, unique factorization,
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- Abstract Algebra On-Line: Structure of Groups - John A. Beachy; Dept. of Mathematical Sciences, Northern Illinois Univ.
Excerpted from Beachy/Blair, Abstract Algebra, 2nd Edition, 1996, Chapter 7: Isomorphism theorems, automorphisms; Conjugacy; Groups acting on sets; The Sylow theorems; Finite abelian groups; Solvable groups; Simple groups. Excerpted from Abstract Algebra
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- Abstract Algebra On-Line: Structure of Noncommutative Rings - John A. Beachy; Dept. of Mathematical Sciences, Northern Illinois Univ.
Excerpted from Abstract Algebra II, 1996, by John Beachy: Prime and primitive ideals; The Jacobson radical; Semisimple Artinian rings.
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- Abstract Algebra - Paul Garrett; Univ. of Minnesota
Exercises to download in PostScript or dvi format, designed to indicate what things should be considered first when studying abstract algebra. Lecture notes are available in PDF and PostScript forms at Intro to Abstract Algebra.
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- aeyoung.mathematician - Andrew E. Young
Papers from a Mathematics graduate from The University Of Sussex at Brighton: Number Theory: GCD and Prime Factorisation; Molien's Theorem, Invariant Theory and Gregor Kemper; A History of Equality.
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- Algebra, Abstract and Concrete - Frederick M. Goodman
An undergraduate textbook (Prentice Hall, 1998). The book is intended to be useful for a course in modern algebra for beginners or a slightly more advanced course, or an undergraduate course on geometric aspects of group theory or Galois theory. Interactive
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- Algebra and Discrete Mathematics - Dr. Josip Hendekovic, Contact
Symmetries and Ordered Structures under the Influence of Model Theory and Combinatorics, a conference in Hattingen (near Essen), Germany, 26–31 July 2003.
Part of the Euresco programme and open to researchers world-wide, whether from industry or academia.
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- Algebraic Structures - Alex López-Ortiz and the Sci.Math FAQ Team
Brief explanations of the following concepts: N is a monoid; Z is an integral domain; Q is a field; in the field R the order is complete; the field C is algebraically complete
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- Algebraic Systems - Christer Blomqvist
Definitions, descriptions, and the basics of Abstract Algebra: groups, rings, fields and the like.
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- Algebra Interactive! - Arjeh M. Cohen, Hans Cuypers, Hans Sterk
The first chapter of the HTML-based book Algebra Interactive!, an introduction to abstract algebra providing an algorithmic approach to algebraic structures ranging from the elementary structures of the integers, polynomial rings in one variable, and
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- Algebra Research Group of the LUC - Limburgs Universitair Centrum, Diepenbeek, Belgium
Members and publications of the algebra group at the LUC (the Limburgs Universitair Centrum, a university in Diepenbeek, Belgium). Major areas of research include: Non-commutative geometry; Invariant theory; Group algebras and Schur algebras; Lie algebra;
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- alt.math.undergrad - Math Forum
An unmoderated discussion forum for issues and problems pertaining to college undergraduate mathematics. Read and search archived messages; and register to post to the discussions.
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- Automated Deduction - William McCune
Research on applications of automated deduction to problems in abstract algebra and algebraic geometry, algorithms and strategies for searching for proofs and for counterexamples, high-performance implementation of automated deduction algorithms, and
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- Basic Concepts of Mathematics - Elias Zakon
This electronic text helps the student complete the transition from purely manipulative to rigorous mathematics. Chapters cover basic set theory, induction, quantifiers, functions and relations, equivalence relations, the real numbers (including consequences
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- Books by Lillian Lieber - Lillian Lieber, Hugh Gray Lieber, Paul Dry Books
Paul Dry Books has republished three of Lillian Lieber's books on mathematics: The Education of T.C. MITS: What Modern Mathematics Means to You, Infinity: Beyond the Beyond the Beyond, and Einstein's Theory of Relativity. Lillian Lieber was the head of
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- Books: Professional & Technical: Professional Science: Mathematics - Amazon.com
Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations;
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- Catalogue of Algebraic Systems - John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
Bilinear algebras/ Algebras / Associative algebras; Boolean algebras; Cylindric algebras; Fields; Groupoids; Groups; Inverse semigroups; Jordan algebras; Kleene algebras; Lattices; Lie algebras; Loops; Modules; Monoids; Near-fields / Nearfields; Near-rings;
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- Continuing Studies and Corporate Education - University of Massachusetts Lowell
The UMass Dartmouth and UMass Lowell Divisions of Continuing Education offer a selection of standard, full-credit university courses offered over the web. Students and faculty use the World Wide Web, email, chat and other Internet resources to review
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- Counterexamples in Clifford Algebras - Pertti Lounesto, Helsinki Institute of Technology
Counterexamples to theorems published and proved in recent literature on Clifford algebras, spinors, spin groups and the exterior algebra, many stemming from the failure of the authors to check their statements in low dimensions, or for small numbers
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- The Counterexamples in Functional Analysis Home Page - Mohammad Sal Moslehian
A collection of new and classic examples in functional analysis and operator theory for graduate students, non-specialists and any interested reader. The examples are related to Banach and Hilbert Spaces, Operator Theory, Banach Algebras, Topological
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- Discussiones Mathematicae - Borowiecki; Technical University of Zielona Góra, Poland
Four journals: Differential Inclusions, Control and Optimization; General Algebra and Applications; Graph Theory; and Probability and Statistics. Information for each journal includes a general description, subscription information, list of editors,
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- Draft version of MSC2000 - European Mathematical Society (EMS)
The proposed revision of the 1991 Mathematics Subject Classification (MSC), the classification used by the two reviewing journals Mathematical Reviews (MR) and Zentralblatt für Mathematik (Zbl) since the beginning of 1991. MSC2000 is the result of
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- Elements of Abstract and Linear Algebra - Edwin H. Connell; Dept. of Mathematics and Computer Science, Univ. of Miami
A free online textbook in four formats: PDF, DVI, PS, and PSGZ, with six chapters: Background (equivalence relations, injective, surjective, and bijective functions, product of sets, unique prime factorization in the integers); Groups; Rings; Matrices
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- The Evariste Galois Archive - Bernard Bychan
A biography of Galois in five different languages, a mailing list, and an introduction to Galois Theory.
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- Examination Papers - University of Cambridge
Download PDF and PostScript files of Cambridge's mathematical tripos examination papers from the past decade. See also the exam papers from Natural Sciences Tripos (NST) and Part III (postgraduate).
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- Exploring Abstract Algebra with Mathematica - Kenneth M. Levasseur; Dept. of Mathematical Sciences, Univ. of Massachusetts at Lowell
An assortment of functions illustrated in Visual Mode that are available in the AbstractAlgebra Packages. Identity; Inverses; AssociativeQ; AbelianQ; CayleyTable(s); OrderOfAllElements; Commutators; GroupExponent; Dihedral; Morphoids/PreservesQ; VisualizeMorphoid;
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- Fast Marching Methods and Level Set Methods - J. A. Sethian, University of California-Berkeley
Fast Marching Methods and Level Set Methods are numerical techniques that can follow the evolution of interfaces. These interfaces can develop sharp corners, break apart, and merge together. The techniques have a wide range of applications, including
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- Fermat Computer Algebra System - Robert H. Lewis
Fermat is a computer algebra system that does graphing, and symbolic and numerical calculations. Fast and economical of space, the main version is oriented toward polynomial and matrix algebra over the rationals and finite fields; Smith normal form; polynomial
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- Finite Canonical Commutation Relations - Bill Hammel
A working paper on finite canonical commutation relations (FCCR) nxn matrices as local kinematical replacement for CCR, and construction of REPS of CCR by pxp matrices over Galois fields. Contents include truncated creation and annihilation operators,
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- Fractional Tree Calculator - Henryk Trappmann
Fractional trees are a new kind of number (extra to quaternions, octonions, non-standard reals, Conway numbers, etc.), an algebraic generalization of fractional numbers. Experiment with this web application
to get a first impression.
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- Frédéric Chyzak's Mgfun Project
Mgfun is a group of Maple packages intended for calculations with multivariate generating functions, in particular for their symbolic summation
and integration, and for the proof of special function and combinatorial identities. These packages include
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- Frederic Chyzak
Frederic Chyzak researches combinatorics and computer algebra, specifically holonomic functions. His thesis and other articles are available as abstracts and as PostScript files. Slides for a series of talks on holonomic functions and computer algebra
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- The Fundamental Theorem of Algebra - B. Fine, Fairfield Univ., CT; G. Rosenberger, Univ. of Dortmund, Germany
The Fundamental Theorem of Algebra states that any complex polynomial must have a complex root. This basic result, whose first accepted proof was given by Gauss, lies at the intersection of the theory of numbers and the theory of equations, and arises
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- Gallica - Bibliothèque nationale de France
Une sélection de documents numérisés qui montrent la diversité des collections manuscrites de la Bibliothèque nationale de France: les oeuvres de Joseph Liouville, Augustin Cauchy, Joseph Fourier, Henri Poincaré, Janos
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- Get Help With Your Math Homework - Cramster.com
Find homework solutions from text books, lecture notes, and solved exams written by college professors for their courses. Subscription fees required. Ask questions and answer other members' questions "for self practice, karma points and goodwill" on the
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- G J Chaitin Home Page - Greg Chaitin
From the author of Algorithmic Information Theory, Information, Randomness & Incompleteness, Information-Theoretic Incompleteness, The Limits of Mathematics, The Unknowable, Exploring Randomness, Conversations with a Mathematician, From Philosophy
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- Greg Egan's Home Page
Information, illustrations, and Java applets that supplement some of the works of the science fiction author. The Applets Gallery includes groups of rotations in three dimensions and in four dimensions; Escher, inspired by the artist's conflicting orientation
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- Grothendieck Circle - Leila Schneps
Alexandre Grothendieck's published articles, unpublished research, letters, and translations: The Cohomology Theory of Abstract Algebraic Varieties, Standard Conjectures on Algebraic Cycles, Hodge's General Conjecture Is False for Trivial Reasons, Groupes
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- Groups & Graphs Home Page - Bill Kocay
A software package for graphs, digraphs, combinatorial designs, and their automorphism groups. Features include automorphism group computation; graph certificate which identifies a graph uniquely up to isomorphism; Hamiltonian cycles; planarity test and
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- G-systems - Vladimir Ladma
A paper presenting an algebraic theory of musical chord structures that seeks to provide a simple algorithm for generating these structures.
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- Guy Kindler - The Official Site - Guy Kindler
A mathematics Ph.D. student at Tel Aviv University. Math puzzles are ranked from easy to tough. A paper on approximation and various resources for a seminar on computational models may be downloaded in PostScript format. Related PowerPoint presentations
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- Helmer Aslaksen
A mathematics professor at the National University of Singapore. Research involves abstract algebra, including the trigonometry of symmetric spaces, and calculations for the Chinese, Islamic, and Indian calculators. Papers about these topics may be
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- Hermann Grassmann and the Prehistory of Universal Algebra - Desmond Fearnley-Sander
A definition of universal algebra, with a sketch of its prehistory. "...abstract algebras are divided by a very simple scheme into self-contained `species'. Within each species a perfect duality is found between families of formal laws and the families
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- Home Page for John Robertson - John Robertson
Download original PDFs on curves of genus zero, Pell equations, binary quadratic equations, magic squares, and continued fraction expansions of sqrt(D) and (1+sqrt(D))/2.
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- International Conference on Technology in Collegiate Mathematics (ICTCM) (Mathematics Archives) - Przemyslaw Bogacki, Managing Editor
Home site of the Electronic Proceedings of the International Conference on
Technology in Collegiate Mathematics (EPICTCM), an annual conference sponsored by Addison-Wesley (on this site are conferences from 1994-1998). Papers are presented through an
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- International Mathematical Virtual Institute - DMBL (Scientific Society of Mathematicians Banja Luka)
The International Mathematical Virtual Institute (IMVI) promotes communication, cooperation and collaboration in the Balkans, elsewhere in Europe, and worldwide on research in (pure and applied) mathematics, history and philosophy of mathematics, and
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