Mathematics

(These websites and descriptions are from Librarian's Internet Index "websites you can trust") http://lii.org/

World of Mathematics
Also known as MathWorld , this site is a "comprehensive, and interactive mathematics encyclopedia intended for students, educators, math enthusiasts, and researchers." The subject index includes algebra, applied mathematics, calculus and analysis, discrete mathematics, the foundations and history of mathematics, geometry, number theory, probability and statistics, recreational mathematics, and topology. In addition, there is a complete alphabetical index and a good search engine. Developed in parallel with the CRC Concise Encyclopedia of Mathematics , in print and on CD-ROM.
URL: http://mathworld.wolfram.com/

Mathematical Snippets
Explore a few notable mathematical ideas and results pondered by mathematicians. This website includes brief descriptions of the Pythagorean Theorem, Archimedes' Tombstone, the Möbius Strip, the Koch Snowflake Curve, Plateau's Problem, and counting to infinity. From the Science Division at Bellevue Community College, Washington state.
URL: http://scidiv.bcc.ctc.edu/math/mathsnips.html

Mathematics of Cartography
Presents the relationship between maps and mathematics. Includes a brief history of mapmaking; background on scale, coordinate systems, and projection and demonstrations of how they are related to cartography; word problems; interactive exercises; related resources; and career information. Created and maintained by a math instructor.
URL: http://math.rice.edu/~lanius/pres/map/

Mathematics and Knots
This exhibition uses mathematics and diagrams to help explain knots. Includes terminology, rules for knot addition, the applications of knot theory, the history of knots, and related links. Exhibition sponsored by the London Mathematical Society.
URL: http://www.popmath.org.uk/exhib/knotexhib.html

The Mathematics of Tsunamis
"The recent tragic events following the December 2004 magnitude 9.0 earthquake in the Indian Ocean have reminded us of the need for scientific understanding and modeling of complicated physical phenomena in order to prevent unnecessary loss of life from natural disasters." This document looks at calculations related to tsunami physics and provides a visualization of a tsunami. Includes links to related concepts. From MathWorld.
URL: http://mathworld.wolfram.com/news/2005-01-14/tsunamis/

Origami Mathematics
Information on the mathematics of paper-folding, including the geometry and origami axioms formulated by Italian-Japanese mathematician Humiaki Huzita. The section "Five Intersecting Tetrahedra" presents construction instructions and other types of models. "Notes for an Origami/Combinatorial Geometry Course" (a course offered at Merrimack College, North Andover, Mass.), a gallery, and annotated links are also provided.
URL: http://www.merrimack.edu/~thull/origamimath.html

The Mathematical Atlas: A Gateway to Modern Mathematics
This searchable site provides a collection of articles about the many subfields of math and includes definitions, brief biographies, and explanations. Each topic includes a history, related areas, and subfields as well as related print and Internet resources. It also includes an introduction to the Mathematics Subject Classification (MSC) scheme on which the site's arrangement is based.
URL: http://www.math-atlas.org/

Wolfram Research's Mathematical Functions
An information resource for over 37,000 mathematical functions. Browse by function category or search. The site "details the interrelationships between the special functions of mathematical physics and the elementary functions of mathematical analysis as well as the interrelationships between the functions in each group." Formulas are presented in standard form as well as MathML and ASCII form. Contributions are welcome.
URL: http://functions.wolfram.com/

Introduction to Contemporary Mathematics
Brief coverage of routing problems (Euler paths and circuits and Hamilton paths and circuits); mathematics of scheduling; mathematics of voting and elections (including fairness criteria and voting methods); fair division; and apportionment.
URL: http://www.ctl.ua.edu/math103/

S.O.S. Mathematics Tables and Formulas
An easily accessed list of common mathematics tables and formulas. Multiplication, primes, integrals, trignometrics, conversions, and derivatives are only some of the available tables. There is a section of online examinations to test your mathematical knowledge. A Cyberboard for questions is included, as well as links to books and additional math sites.
URL: http://www.sosmath.com/tables/tables.html