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Edgar R. Chávez

Mathematics - Links

The abacus

The Abacus   Rank4     The Art of Calculating with Beads. Very detailed Java demonstrations of addition and subtraction.

The Chinese Abacus   Clear, detailed explanations and diagrams. (Better than the next link)

The Chinese Abacus   Another abacus; explanations a bit abstract; includes a Java simulation of an abacus and demonstrations of addition, subtraction, multiplication, and division.

Chinese Abacus   Explanations very hard to follow.

Analytic geometry

My Geometry Teacher   Tools for solving Analytic Geometry exercises.

Distrance from a point to a line

Review of Analytic Geometry   Check also the homepage, Stewart Calculus for excellent Calculus resources for all of his books.

Analysis

Continuity and Infinitesimals   Stanford Encyclopedia of Philosophy. See also: Constructive Mathematics, and Intuitionist Logic.

Introduction to Real Analysis   By William E. Trench. Free PDF copy of the book published by Prentice Hall, 2002 ISBN: 0130457868.

MathCS - Analysis   Resources related to Analysis, suitable for self-study or to accompany a course in calculus, introductory real analysis, or introductory complex analysis. Includes Interactive Real Analysis, an online, interactive textbook for Real Analysis or Advanced Calculus, and Interactive Complex Analysis, an online, interactive textbook for Complex Analysis.

Mathematical Analysis I   by by Elias Zakon, ISBN 1-931705-02-X, published by The Trillia Group, 2004. Currrent version, released March 10, 2009, can be downloaded free for self-study.

Nonstandard Analysis and the Hyperreals   by Jordi Gutierrez Hermoso. A gentle introduction.

Articles

Steven Strogantz, New York Times   Rank4     Mathematical articles for the general reader; a new article every Sunday. Links to previous articles in the series.

Complex Variables

Complex Numbers and Trigonometry   By Abraham P. Hillman, Gerald L. Alexanderson, and Mervin E. Newton. This text has been placed on the web as a public service by the Department of Mathematics and Computer Science of Thiel College. It presents an innovative introduction to trigonometry through the use of complex numbers.

Dave's Short Course in Complex Numbers

An Introduction to Complex Numbers   From MATH-abundance

Discrete Mathematics

Discrete Mathematics Applets Etc.   Susanna S. Epp, DePaul University

Foundations

Cardinal Numbers   Nancy McGough

Constructive Mathematics   Douglas Bridges, Stanford Encyclopedia of Philosophy

Foundations of Mathematics   An online resource center about the foundations of mathematics. Intended to be a textbook and a comprehensive reference, but advanced research topics are not included. The author has attempted to select high-quality material on the web. See also The Beauty of Math in Alexander Sakharov's website.

Infinite Ink - Mathematics   Infinite Ink's primary mathematical interest is foundations of mathematics, including standard and non-standard logics, set theories, and other mathematical frameworks.

Geometry
Organizations

American Mathematical Society

Clay Mathematics Institute   Dedicated to increasing and disseminating mathematical knowledge.

MAA Online   The Mathematical Association of America

Real Analysis

Interactive Real Analysis     Online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. It deals with sets, sequences, series, continuity, differentiability, integrability (Riemann and Lebesgue), topology, and more.

ClassicalRealAnalysis.com   This web site contains current information on the two real analysis textbooks, Elementary Real Analysis and Real Analysis by Andrew M. Bruckner, Judith B. Bruckner and Brian S. Thomson. PDF copies of the second edition can be downloaded.

Set theory

The Axion of Choice

The Continuum Hypothesis   Nancy McGough

A Crash Course in the Mathematics of Infinite Sets   Peter Suber, Earlham College

Set Theory   Rank4     Thomas Jech, Stanford Encyclopedia of Philososphy. Look also under set theory in the table of contents, and at the excellent links a search for "set theory" generates.

Set Theory and the Construction of Numbers   Presents the Zermelo-Frankel axioms for set theory and develops a model for the axioms. The concept of number is a consequence of this model.

Zermelo-Fraenkel Set Theory with Choice (FZC) axioms   Metamath

Zorn's Lemma and Some Applications   Keith Conrad, University of Connecticut.

Trigonometry

Trigonometry - A Review   The Undergraduate Computational Engineering and Sciences (UCES) Project, Krell Institute.

Trigonometry   TheMathPage

Topology

Algebraic Topology   Allen Hatcher, Cornell University. A version of the book printed by Cambridge University Press in 2002 is available for download. So are chapters of Topology of Numbers, as they become available.


Any idiot can learn anything in mathematics. It requires only patience.
Now, to create something -- that is another matter.
-- Alonzo Church

Copyright © 2003-2012 by Edgar R. Chávez. All rights reserved.