Mathematics

Number Theory Web Number Theory Web- Things of interest to number theorists collected by Keith Matthews. World Records for Numerical Palindromes World Records for Numerical Palindromes- The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette. MathWorld Number Theory MathWorld Number Theory- Index to articles in Eric Weisstein's MathWorld in the area of number theory. MathPages: Number Theory MathPages: Number Theory- Articles by Kevin Brown on various topics in number theory. Somos Polynomials Somos Polynomials- Related to Somos sequences and elliptic theta functions. Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory- By Paul Garrett. The Work of Robert Langlands The Work of Robert Langlands- Thesis, papers, manuscripts, letters and bibliography. The Arithmetic Properties of Binomial Coefficients The Arithmetic Properties of Binomial Coefficients- Activated text by Andrew Granville. The Valuation Theory Home Page The Valuation Theory Home Page- A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research. Set Theory and Foundations of Mathematics Set Theory and Foundations of Mathematics- Personal project to rebuild mathematics in a short and rigorous way from a new formalization of set theory, and explain its philosophica… Introduction to Mathematical Logic Introduction to Mathematical Logic- Hyper-textbook for students by V. Detlovs and K. Podnieks. Classical Logic Classical Logic- Introduction to classical logic, including completeness and Löwenheim-Skolem theorems; by Stewart Shapiro. Computability Logic Homepage Computability Logic Homepage- Main online source on computability logic - a recently emerged formal theory of computational tasks and resources. Maintained by G.Japaridze. Ancient Math Papers Restored Ancient Math Papers Restored- Thanks to new imaging technology, part of the remains of a private library, owned by Roman statesman and Julius Caesar's father-in-law, may now be re… Historia Mathematica Historia Mathematica- Elsevier journal about early mathematical discoveries. Includes table of contents and abstracts. History Topics: Index of Ancient Indian Mathematics History Topics: Index of Ancient Indian Mathematics- Includes an overview and history of Indian numerals, the Indian Sulbasutras, Jaina mathematics, the Bakhshali manuscript, pi a… Sketches of a History of Hypercomplex Numbers Sketches of a History of Hypercomplex Numbers- Detailed timeline of the development of hypercomplex numbers, from early discoveries of complex numbers to modern developments. Incl… MacTutor History of Mathematics Archive MacTutor History of Mathematics Archive- Topics are presented by topic areas, date, or mathematicians. Includes timeline and website search engine. India's Contribution to Ancient Mathematics India's Contribution to Ancient Mathematics- Discusses the nation's early development of geometric concepts, algorithms, algebraic ideas and the idea of zero. Also, explains how t… The Art of Renaissance Science The Art of Renaissance Science- Discusses how art and architecture were influenced by mathematical concepts, such as perspective. Includes photo examples. The History of the Calculus and the Development of Computer Algebra Systems The History of the Calculus and the Development of Computer Algebra Systems- Discusses development of integral and derivative calculus from the 17th century. Features contribution… Twenty-Five Years with Nicolas Bourbaki Twenty-Five Years with Nicolas Bourbaki- Article by Armand Borel from a lecture at Bochum in September 1996 in honour of R.Remmert. The Euler 2004 Conference The Euler 2004 Conference- Portsmouth, RI, USA; 8--11 August 2004. History and Overview History and Overview- Front for the Mathematics Arxiv of eprints section HO: biographies, philosophy of mathematics, mathematics education, recreational mathematics, communication… Galois Translation Project (GTP) Galois Translation Project (GTP)- This Site contains original correspondence, official documents and school reports of the mathematician Evariste Galois. This site provides a plat… MathWorld: History MathWorld: History- Descriptions and links relating to various historical problems and topics in mathematics. History of Mathematics: China History of Mathematics: China- An overview. Includes a chronology of mathematicians and mathematical works, online references and a bibliography Vatican Exhibit: Ancient Mathematics Vatican Exhibit: Ancient Mathematics- Library of Congress. Includes articles and original document images of early Greek contributions to the field. Green Lion Press Green Lion Press- An independent book publisher specializing in source materials history of mathematics and history of science. Includes list of publications available and contact… Symbol, Form and Number in Ancient Egypt Symbol, Form and Number in Ancient Egypt- Includes math examples from the Rhind papyrus and Babylonian tablets. Also, discusses early Egyptian mythology. Mechanical Aids to Computation and the Development of Algorithms Mechanical Aids to Computation and the Development of Algorithms- Article summarizing and illustrating early methods of counting and representing of numbers. Mechanical Calculators Prior to the 19th Century Mechanical Calculators Prior to the 19th Century- Explains the development and motivation for creating calculating machines and algorithms. Mathematics in Latvia throughout the Centuries Mathematics in Latvia throughout the Centuries- Covers the early mathematical development in the country, such as the use of geometrical symbols. Includes discussion of influentia… Earliest Known Uses of Some of the Words of Mathematics Earliest Known Uses of Some of the Words of Mathematics- Shows who coined a wide variety of commonly used terms. Organized by first letter. Earliest Uses of Mathematical Symbols Earliest Uses of Mathematical Symbols- Discusses first known appearances of common expressions, such as operations, variables and trigonometric functions. Mesopotamian Mathematics - 8000 B.C. to 364 A.D. Mesopotamian Mathematics - 8000 B.C. to 364 A.D.- Discusses the development of numbers, addition tables, exercise problems and solutions for quadratic equations in one of oldest k… History of Mathematics. History of Mathematics.- Includes classic texts by Hilbert and Euclid (a Java enhanced version of the Elements) a chronology, and links. Washington Post: The Search for Infinity Washington Post: The Search for Infinity- Discusses the development of the concept of infinity from the early Greeks of the fifth to the second century B.C. Covers the important f… A Brief History of Computing A Brief History of Computing- A complete timeline by Oxford professor, Jonathan Bowen. Discusses origins in ancient Greece, Arabia and England, analytical machines, boolean algebr… Encyclopedia of Triangle Centers Encyclopedia of Triangle Centers- By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams. Mathematical Curves and Surfaces Mathematical Curves and Surfaces- Graphical representations of computer generated forms. (French/English). Wilson Stothers' Inversive Geometry and CabriJava Pages Wilson Stothers' Inversive Geometry and CabriJava Pages- Includes Steiner's Porism and the arbelos. Bette Veteto's Homepage Bette Veteto's Homepage- History of Mathematics, very strong on geometry. Problem of the Minimum Rotation Surface Problem of the Minimum Rotation Surface- Java applet demonstrating the catenary. Go Geometry Go Geometry- Offers a variety of resources for teaching and learning about geometry. Problems and theorems are presented with step-by-step solutions for each proof. Geometry/Topology at Michigan State University Geometry/Topology at Michigan State University- Activities of the geometry/topology group at Michigan State University. Sangaku: Reflections on the Phenomenon Sangaku: Reflections on the Phenomenon- Critical reflections on the sangaku phenomenon accompanied by a collection of solved sangaku problems, many with interactive Java illustrat… Cut the Knot Cut the Knot- Features articles about specific problems, illusions, and puzzles. Includes diagrams. Math Forum: Search geometry-forum Math Forum: Search geometry-forum- Those interested in examining the previous incarnation of the Math Forum may search the archives of the Geometry Forum. Math Forum: Geometry.research Math Forum: Geometry.research- Discussion board for geometry professors and instructors to keep informed of the latest research.