 Abstract Algebra OnLine: 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 OnLine: 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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 Abstract and Applied Analysis (AAA)  Athanassios G. Kartsatos, Ed.
A mathematical journal devoted to the publication of papers in the fields of Abstract and Applied Analysis, with emphasis on developments in Linear and Nonlinear Functional Analysis, Ordinary and Partial Differential Equations, Optimization Theory and
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 Abstract Finite Groups  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to finite groups  their internal properties: all those results about group theory for which a consideration of the order of elements is a central part of the question. History, applications and related
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 The abstract group concept  MacTutor Math History Archives
Linked essay offering an introduction to the theory of finite groups (the title of the famous text written by Walter Ledermann), based on a lecture given by Peter Neumann at a conference at the University of Sussex. With references and other related web
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 Abstract Harmonic Analysis  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to abstract harmonic analysis: if Fourier series is the study of periodic real functions, which are invariant under the group of integer translations, then abstract harmonic
analysis is the study of
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 Abstract Linear Spaces  MacTutor Math History Archives
Linked essay covering the beginning of the vector concept and the move away from coordinate methods through the beginning of the 20th century with Peano, Hilbert, Schmidt and Banach, with 13 references (books/articles).
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 Abstract State Machines  Jim Huggins
The Abstract State Machine (ASM) Project (formerly known as the Evolving Algebras Project) was started by Yuri Gurevich as an attempt to bridge the gap between formal models of computation and practical specification methods. The ASM thesis is that any
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 Academia de Matemáticas
Método para el aprendizaje de matemática.
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 The Academic Advantage
Oneonone instruction in the convenience of your own home that focuses on academic improvement and building confidence. Math topics tutored range from basic arithmetic to trigonometry, from prealgebra to precalculus, from algebra to geometry, and also
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 Academic Employment Network (AEN)  Career Network Associates
AEN lists available positions in colleges, primary and secondary educational institutions for faculty, staff, and administrative professionals, striving to bring you the most comprehensive listing of educational positions available throughout North America.
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 Academic Exchange Quarterly
The Academic Exchange Quarterly invites research on affective learning issues such as persistence, selfconfidence, attitudes, anxiety, assessment, intervention, and pedagogy. Submissions are welcome from researchers, teacher action researchers, administrators
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 Academic Info  Mathematics
A listing of online college and research level math resources. The target audience is the college and university community; however, the subject guides will prove useful to high school and general users as well.
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 Academic OR/MS Courses on the Web  Armann Ingolfsson
Links to Web pages of courses in Operations Research/Management Science and related fields offered at universities or colleges all over the world. Also short courses and tutorials on OR/MSrelated topics. By Armann Ingolfsson for the INFORMS Forum on
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 Academic Systems
Produces multimedia instruction software for mathematics and English. Interactive Mathematics includes integrated animation, graphics, audio, and video; individualized student programs; an array of help and support options; and an online reporting system
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 Academic Torrents  Cohen, Joseph; and Lo, Henry
This distributed data repository made for researchers, by researchers, uses bittorrent technology to facilitate the storage and sharing of research data — from NASA's map of Mars, to bags of words, to NOAA weather data. Browse datasets, papers,
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 The Academy of Inquiry Based Learning
A "big tent" community of instructors, teachers, and supporters of inquirybased learning (IBL), the Academy of Inquiry Based Learning (AIBL) supports the education of students "deeply engaged in rich mathematical tasks who have ample opportunities to
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 Access and Equity in Mathematics Education  EXTEND  Perspectives in Mathematics Education
Links to information about providing access to higher mathematics for all students amidst continuing public debate about the wisdom of tracking and the role of federal, state, and local policy in enabling reform. Equity and Access in Mathematics Education;
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 achievethecore.org  Student Achievement Partners
Professional development modules, voices of teachers, articles, tools, research, and other free resources for educators implementing the Common Core State Standards, as assembled by the American Federation of Teachers (AFT), the National Education Association
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 ACME Klein Bottles  Cliff Stoll
"Searching for a onesided surface? Need a zerovolume bottle? Want the ultimate in nonorientability? Get an ACME Klein bottle!" Available in several different models, including classical, Erlenmeyer flask, sliced, spiral, "weirdies," and special designs.
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 ACMEScience  Samuel Hansen
Lighthearted mathematical podcast series Combinations and Permutations, Strongly Connected Components, and more.
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 The ACM Journal of Experimental Algorithmics (JEA)  Association for Computing Machinery
An online journal devoted to experimental work in the design and analysis of algorithms and data structures, with two principal aims: to stimulate research in algorithms based upon implementation and experimentation; in particular, to encourage testing,
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 ACM Transactions On Mathematical Software (TOMS)
The purpose of the Association for Computing Machinery Transactions on Mathematical Software (TOMS) is to communicate important research results concerning the development, evaluation and use of mathematical computer programs. In addition, TOMS publishes
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 A+ Compass  Art Stoner, Ed.D.
A compass for use on whiteboards, with radius to 14+ inches. Uses a variety of markers and is safe for all surfaces. Easy to use and accurate.
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 Acquisition of Arithmetic (Learning and Mathematics)  H. Ginsburg; Math Forum
In a chapter entitled "Learning to Count. Computing with Written Numbers. Mistakes" in the 1977 book, Children's Arithmetic: How They Learn It and How You Teach It, Ginsburg draws heavily on the idea of assimilation  the incorporation of new ideas into
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 Activity Group on Discrete Mathematics  Society for Industrial and Applied Mathematics (SIAM)
The SIAG on Discrete Mathematics focuses on combinatorics, graph theory, cryptography, discrete optimization, mathematical programming, coding theory, information theory, game theory, and theoretical computer science, including algorithms, complexity,
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 ACTM '97: Second Asian Technology Conference in Mathematics  S. Chu, Radford University
Computer Technology in Mathematical Research and Teaching. ATCM97 provided an interdisciplinary forum where researchers and teachers in the fields of mathematics, education, computers, and technology presented results and exchanged ideas and information.
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 Actuarial Studies Program  Mathematics Department, The University of Texas at Austin
Detailed information on the undergraduate and graduate programs in Actuarial
Studies (actuarial science) at The University of Texas at Austin.
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 The Ada Project (TAP)  Carol Frieze and Women@SCS; Carnegie Mellon University
Tapping Internet Resources for Women in Computer Science, this site serves as a clearinghouse for information and resources relating to women in computing: conferences, projects, discussion groups and organizations, fellowships and grants, notable women
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 Adapting Science to Chaos  Chris Lang
A new mathematics and metaphysics specifically designed for chaos, complexity theory, and chaotic and complex dynamical systems. The Heisenburg uncertainty principle limits experimentation: optimizing science for chaotic and complex dynamical systems
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 Adaptive Precision FloatingPoint Arithmetic and Fast Robust Predicates for Computational Geometry  Jonathan Richard Shewchuk; University of California at Berkeley
C code for orientation and incircle tests using adaptiveprecision floatingpoint arithmetic. Papers, software, inspiration.
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 Adaptive Technology Resource Centre  University of Toronto
A services and a research and development centre that focuses both on solutions for persons with disabilities, and on universal design. The site includes the Vision Technology Service (sight enhancement and substitution clinic), a technical glossary (covering
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 AddisonWesley Higher Education  Pearson Education
Publisher of programs and materials for primary and secondary school students and teachers; higher education textbooks and multimedia in major academic subjects for students and professors; books and multimedia for business professionals, practicing engineers,
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 Addison Wesley  Mathematics  Addison Wesley Longman (AWL)
Addison Wesley Longman (AWL) publishes products with a focus on math fundamentals and creates solutions to teaching and learning challenges through text, supplements, software, CDROMs, videos, and the WWW. Products are available for all segments of
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 Addition and Multiplication Tables in Various Bases  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An applet that combines addition and multiplication tables for bases from 2 through 36. In every base N, there are N digits. In the decimal system, for example, we have 10 of them: 0,1,2,3,4,5,6,7,8,9. In base 7, there are seven digits: 0,1,2,3,4,5,6.
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 The Addventures of Plusman  Michael Cherry
Math puns, wordplay and illustrated concepts, all in a comic book format. The first of the Plusman series introduces Adam Tegetter, Aidee DeGrangle, Hex A. Hedron, the evil Dr. Nein and the origin of Plusman and the Permutation; the second tells of the
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 ADIFF: Automatic Differentiation Utility  Juan Sanchez
Symbolic derivatives calculator, performs symbolic differentiation of common functions. Allows specification of arbitrary functions and their derivatives for evaluation.
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 Adult Literacy and Lifeskills (ALL) Survey  National Center for Education Statistics (NCES), U.S. Department of Education
The Adult Literacy and Lifeskills (ALL) Survey is an international comparative study designed to provide participating countries, including the United States, with information about the skills of their adult populations. ALL measured the literacy and
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 Adult Numeracy
A collection of resources on adult numeracy, from a group devoted to statistical literacy. Key websites, conferences, publications, organizations, and surveys.
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 Adult Numeracy Core Curriculum  The Basic Skills Agency, via Count On
The U.K. adult literacy and numeracy core curriculum in PDF format. "It sets out the entitlement to learning for all adults who have difficulties with literacy and numeracy. It describes the content of what should be taught in literacy and numeracy programmes
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 Adult Numeracy Network (ANN)
A community dedicated to highquality mathematics instruction at the adult level. ANN conducts preconferences at the annual NCTM national meetings; publishes the Math Practitioner Newsletter; sponsors the
Numeracy List, an adult electronic forum; and
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 Adult Numeracy @ TERC  TERC
Information about and materials from TERC's adult numeracy projects, including EMPower (Extending Mathematical Power), TIAN (Teachers Investigating Adult Numeracy), and Statistics for Action. The published EMPower curriculum fills the need for a math
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 Advanced Calculus and Analysis  Ian Craw; University of Aberdeen
Lecture notes and other material provided for a course taught by Ian Craw at the
University of Aberdeen: List of Figures; Introduction; Sequences; Monotone Convergence; Limits and Continuity; Differentiability; Infinite Series; Power Series; Bibliography.
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 Advanced Continuous Simulation Language (ACSL)  The AEgis Technologies Group, Inc.
A modeling, execution, and analysis environment for continuous dynamic systems and processes. With readytouse code blocks, powerful analysis capabilities, and industryspecific toolkits. View case studies in the pharmaceutical, automative, military,
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 Advanced CSS Rendering: Embedding Mathematical Content in HTML  George Chavchanidze
Discussion of a crossbrowser method of rendering mathematical content using HTML and cascading style sheets (CSS). A set of CSS style sheets for online scientific publishing is available.
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 Advanced Data Visualization  Principia Mathematica
PMVisualization Studio is a Microsoft Windows 95, 98 or NT application that takes the Visualization Toolkit (Vtk) data visualization architecture and extends it by providing a graphical pipeline editor. It also includes an Active X control that allows
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 Advanced Discrete Mathematics  Math Forum
Links to some of the best Internet resources for advanced discrete mathematics: Web sites, software, Internet projects, publications, and public forums for discussion.
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 Advanced Geometry  Math Forum
Links to some of the best Internet resources for advanced geometry: Web sites, software, Internet projects, publications, and public forums for discussion.
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 Advanced Grapher  Serpik Soft
Graphing, curve fitting and calculating software. Graphs Cartesian (Y(x) and X(y)), polar and parametric functions, graphs of tables, equations (implicit functions), inequalities and systems of inequalities and slope fields, with up to 30 graphs in one
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