 Algebraic Systems  Christer Blomqvist
Definitions, descriptions, and the basics of Abstract Algebra: groups, rings, fields and the like.
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 Algebraic Topology  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to algebraic topology, the study of algebraic objects attached to topological spaces. The algebraic
invariants reflect some of the topological structure of the spaces. The use of these algebraic tools
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 Algebra in Simplest Terms  Annenberg Media
In this video series for college and high school classrooms and adult learners, host Sol Garfunkel explains how algebra is used for solving realworld problems. Free sign up is required for firsttime users of the online videos. Materials (videos and
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 Algebra Lineal  Juan M. Olazabal
Material suplementario al curso reglado de la Facultad de Ciencias de la Universidad de Cantabria, España. Mira, en particular, el formulario para eliminación Gaussiana. In Spanish: an introduction to Linear Algebra: matrices, rank, echelonforms,
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 Algebra linear functions in C.  xhunga
MSDOS / C programming language. Basic functions (use fractions): addm, subm, multm, powm, smultm, transpose, trace, det, minor, cofactor, mcofactor, adjoint, inverse, gauss, gaussjordan. Elementary row operations: swaprow, multrow, addrow. Useful Functions:
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 Algebra (MathPages)  Kevin Brown
More than 50 "informal notes" by Kevin Brown on algebra. Kummer's Objection; irreducibility criteria, multiple linear regression, string algebra, characteristic polynomial of a matrix, iterated means, sums of powers, polynomials from Pascal's Triangle,
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 Algebra matricial  Cristina Díaz Sordo y Luis Vaamonde Portas
Disfruta del álgebra usando la calculadora matricial y los generadores de
prácticas, ejemplos, ejercicios y tests de autoevaluación
diseñados en Javascript.
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 Algebra, Philosophy, and Fun  Ivars Peterson (MathTrek)
About the book Philosophy and Fun of Algebra, written by Mary Everest Boole (18321916) and published in 1909. "Boole's gentle, conversational introduction to algebra is meant for children. It also serves as a window on
math educationas it was perceived
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 Algebra Postulates  Jaime Garmendia III; Interactive Mathematics Online (IMO)
Things you can do with equations and inequalities  the basic postulates of equality, inequality, and operations. Example: Postulates of Operation: Commutative Property of Addition: a+b=b+a; Commutative Property of Multiplication: a*b=b*a; Distributive
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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: Noncommutative geometry; Invariant theory; Group algebras and Schur algebras; Lie algebra;
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 Algebra Review in Ten Lessons  D. P. Story; Mathematics & Computer Science, University of Akron
A tutorial written in TeX and converted to Adobe Portable Document Format (PDF). Features include verbose discussion of topics, typeset quality mathematics, user interactivity in the form of multiple choice quizzes, inline examples and exercises with
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 Algebra (S.O.S. Mathematics)  Dept. of Mathematical Sciences, Univ. of Texas at El Paso
An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and precollege algebra. Sections include: Fractions; Units of Conversion; Complex Numbers; Quadratic Equations; Factorization
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 Algebra  University of Wales, Bangor
A paper describing research interests in algebra at Bangor, which have to a large extent been motivated by problems in algebraic topology and homological algebra. The recent spate of new and exciting concepts (crossed modules, crossed ncubes, nonabelian
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 Alglib  Sergey Bochkanov, Vladimir Bystritsky
Numerical analysis library in C#, C++, Delphi, Visual Basic, Zonnon. Covers differential equations, systems of linear equations, matrix and vector operations, eigenvalues and eigenvectors, numerical integration, univariate and multivariate optimization,
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 Algorithmia  Kenny Daniel and Diego Oppenheimer, CoFounders
An "open marketplace for algorithms." Built by algorithm developers for algorithm developers, Algorithmia lets users create, share, and build on other algorithms, then instantly make them available as APIs for sale.
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 Algorithmic Art  Fractal Art Gallery  Manfred W. Rupp
Unusual fractals with nonstandard algorithms  geometric patterns made using FRACTINT that rely on mathematical models.
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 Algorithmic Image Gallery  Giuseppe Zito
Each picture is the door of a room in the gallery, composed by taking a pixel for each picture in the room. All the pictures in a room are produced by the same algorithm, changing only one or more parameters. Click inside the door and you will get the
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 Algorithmic Vectorial Geometry  Jean Paul Jurzak
In French. The author writes: "This work studies vectorial geometry under a new aspect which allow to solve most of the exercises of vectorial geometry without the traditional support of a drawing. For students, teachers, and informaticians."
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 Algorithms Courses on the WWW  Kirk Pruhs; University of Pittsburgh
An extensive list of links to undergraduate and introductory graduate algorithms courses; advanced or specialized courses; and other related resources on the Web.
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 Algorithms for Modular Elliptic Curves  John Cremona
View parts of the second edition of the book, with introduction, tables and software. Download the errata list for the second edition, available as a dvi file or a postscript file.
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 Algorithms  National University of Ireland
Web interfaces that provide steps for moving the disks of the Towers of Hanoi, calculate the Euclidean greatest common divisor (GCD) algorithm using recursion, and compute maximum profit from the knapsack problem using dynamic programming. Also, generate
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 Algorithms, Problems, Empirical Studies (APES)  Leeds and Strathclyde Universities, U.K.
An informal group of researchers interested in the understanding of algorithms and problems through empirical studies. Brian Hayes' article Can't Get No Satisfaction, introduces phase transition research in satisfiability, outlining a problem near the
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 Algorithms Project  Institut National de Recherche en Informatique et en Automatique (INRIA)
A small international group of people with interests in design and analysis of algorithms, computer algebra, combinatorial analysis and asymptotics. It aims at general methods in combinatorics and analysis, with which classes of problems can be treated
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 Alice begegnet der 4. Dimension  Stefan Scheller
(Alice encounters the 4th dimension) Einige faszinierende 3DAnimationen hat diese Homepage zu bieten. "Alice begegnet der vierten Dimension" ist hauptsächlich eine umgeschriebene Kurzversion der bekannten skurilen Kindergeschichte aus England. Der
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 Alien Tiles Official Web Page  Pickover and Mckechnie
A difficult puzzle developed by Dr. Cliff Pickover and Cam Mckechnie. (Some have called it Rubik's cube for the new millennium.) The rules are simple, but the patterns soon become very complex. The authors look forward to hearing from artists, puzzle
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 Alive Books  Sotirios Persidis
The site offers a free downloadable course on Calculus of a Single Variable, as well as a link to a modern new Mathematical Handbook is given. The Handbook is part printed matter and part online, and fully searchable even within mathematical expressions.
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 All About LaTeX2HTML  Nikos Drakos, Computer Based Learning Unit, Univ. of Leeds
LaTeX2HTML: What it is, how it works, where to get it, how to install it, how to use it and how to diagnose and fix problems. Also the LaTeX2HTML manual. Mailing list; sample converted documents; publications about LaTeX2HTML; searchable archives. Last
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 AllAmerican Supertutors  Robb Gott
A nontraditional approach to math tutoring. Inperson or online tutoring sessions.
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 All Star Tutoring
Professional oneonone tutoring services in New York City's boroughs, including GED test preparation, citywide exams, and Regents exam preparation.
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 Allwave  Allwave Corp
Software company offering: MathHub® (math tool), PlotHub® (plotting tool), MathCal® (graphical calculator tool, both PC and Pocket PC versions), and MapHub® (map has over 100 projections), as well as a special application for engineering.
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 Almost Looks Like Work  Jason Cole
Blog of Matlab plots, animations, and other explorations by a PhD student "with a passion for physics, maths, and data visualization." Posts, which Cole describe as "lighthearted" and date back to July, 2014, have included "WiFi strife," "Antics," "Damp
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 Alphametics  Mike Keith
Alphametics (also known as alphametrics) are puzzles that combine mathematical and word play, the first modern example of which was Dudeney's SEND + MORE = MONEY. From the "alphamenu," choose traditional alphametics, the doublytrue genre, new literary
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 Alphametics  Torsten Sillke
Cryptarithms are puzzles in which letters or symbols are substituted for the digits in an arithmetical calculation. If a cryptarithm uses letters in place of digits, and the letters form words or phrases, the puzzle is an alphametic. J. A. H. Hunter coined
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 Alta Vista
A major Web search engine, also offering major categories to browse (Automotive; Business & Finance; Computers & Internet; Health & Fitness; Hobbies & Interests; Home & Family; Media & Amusements; People & Chat; Reference &
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 Alternative Math Club
Interactive practice with problems typically found in Japan: exams for junior high school math, high school math, and college math; and entrance exams for high shool and for university. Also available in Japanese.
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 The Altitudes and the Euler Line  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A proof of the existence of the orthocenter of a triangle embodying several concepts such as Morley's complex interpolation theory, Napoleon's theorem, and Morley's miracle; with examples of the theorems and a geometric explanation of the Euler Line and
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 The Altitudes  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of proofs of the concurrency of altitudes in triangles, featuring a Java applet with which one can see the various points, lines, triangles, and circles associated with any given triangle.
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 The Altitude Theorem for Equilateral Triangles  Web Feats Workshop II
Use the applet to intrigue students with a surprising property of equilateral triangles, stimulate their curiosity to wonder why the property is true, then lead them to understand how the property can be proven in an unexpected way. This workshop was
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 alt.math.recreational  Math Forum
An unmoderated newgroup focused on recreational mathematics. Read and search archived messages; and register to post to the discussions.
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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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 Al Zimmermann's Programming Contests  Al Zimmermann
An "arena where demented computer programmers compete for glory and for some cool prizes." Computationally intensive problems, often involving heuristics, have included "Point Packing," "Retaining Water" (based on magic squares), "Son of Darts," "Topswops"
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 Amara's Wavelet Page  Amara Graps
Read a brief overview of wavelets, or listen to sounds compressed using wavelets. Page also includes an extensive list of wavelet resources.
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 The Amazing ABC Conjecture  Ivars Peterson (MathTrek)
In number theory, straightforward, reasonable questions are remarkably easy to ask, yet many of these questions are surprisingly difficult or even impossible to answer. Fermat's last theorem, for instance, involves an equation of the form x^n + y^n =
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 The Amazing Mandelbrot Set  Bill Boll
This site hosts a gallery of Mandelbrot Set images and a primer on how the Mandelbrot Set is generated. Posters and a DVD of animations are available.
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 Amazing Seattle Fractals  Tutorials  Doug Harrington
Fractal art galleries, fractal tutorials, slide shows, software downloads, guest galleries and more. Four different online fractal art tutorials illustrate step by step how to get started creating this art form based on mathematics.
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 American Council on Education (ACE)
A forum for the discussion of major issues related to higher education and its potential to contribute to the quality of American life. ACE maintains a domestic and an international agenda and seeks to advance the interests and goals of higher and adult
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 American Educational Research Association (AERA)
An Association concerned with improving the educational process by encouraging scholarly inquiry related to education and by promoting the dissemination and practical application of research results. Twelve divisions: Administration, Curriculum Studies,
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 American Go Association
Learn to play the ancient Chinese board game called Go in Japan, Baduk in Korea, and Weichi in China. Go is said to be 4,000 years old, and is played worldwide. This site lists clubs and resources for beginning and expert players. The AGA provides free
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 American Indian Science and Engineering Society (AISES)
Membership, chapters, news and events, notices of conferences, internships, and scholarship and educational opportunities.
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 American Institute of Mathematics
The American Institute of Mathematics (AIM) "expands the frontiers of mathematical knowledge through focused research projects, sponsored conferences, and the development of an online mathematics library." See, in particular, the nonprofit organization's
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