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| CRC Concise Encyclopedia of Mathematics | |
|---|---|
| Name | CRC Concise Encyclopedia of Mathematics |
| Author | Eric W. Weisstein (editor) |
| Country | United States |
| Language | English |
| Subject | Mathematics reference |
| Publisher | Chapman & Hall/CRC |
| Release date | 1999 (1st ed.) |
| Media type | |
| Pages | 1200+ (varies by edition) |
CRC Concise Encyclopedia of Mathematics is a compact reference work compiling definitions, theorems, formulas, and biographical notes across mathematics. It functions as a desk reference linking historical developments, computational methods, and notable mathematicians, used by researchers, educators, and students. The volume synthesizes material that connects classical topics with modern applications and cross-references influential figures and institutions.
The encyclopedia presents entries ranging from elementary topics like Euclidean algorithm and Pythagoras to advanced subjects such as Riemann hypothesis and Hilbert space, citing classical works by Euclid, Isaac Newton, and Carl Friedrich Gauss while referring to modern contributors like Alan Turing, John von Neumann, and Andrew Wiles. It situates mathematical results alongside references to constructions associated with Leonhard Euler, Bernhard Riemann, David Hilbert, Évariste Galois, and Srinivasa Ramanujan. The reference emphasizes concise statements linked to problem solvers influenced by institutions such as Princeton University, University of Cambridge, Massachusetts Institute of Technology, and École Normale Supérieure.
The first edition appeared in the late 20th century, edited by Eric W. Weisstein, reflecting scholarship contemporaneous with figures such as Paul Erdős, Alexander Grothendieck, and Jean-Pierre Serre. Subsequent printings and revised editions updated entries to account for breakthroughs involving Andrew Wiles (proof of Fermat's Last Theorem), results connected to Perelman and the Poincaré conjecture, and algorithmic advances linked to Donald Knuth and Tim Berners-Lee. Revised editions incorporated cross-references to projects at Institute for Advanced Study, Royal Society, and National Academy of Sciences.
Entries are organized alphabetically and include definitions, theorem statements, proofs or sketches, examples, and bibliographical pointers referencing works by Euclid, Gottfried Wilhelm Leibniz, Joseph-Louis Lagrange, Niels Henrik Abel, and Augustin-Louis Cauchy. Sections cover number theory with mentions of Pierre de Fermat, Srinivasa Ramanujan, and Eratosthenes; algebra with links to Évariste Galois and Niels Henrik Abel; analysis with Bernhard Riemann and Augustin-Louis Cauchy; topology referencing Henri Poincaré and Benoit Mandelbrot; and applied mathematics drawing on Norbert Wiener and John von Neumann. Tables and appendices cite standard works from publishers linked to Cambridge University Press, Oxford University Press, and organizations like the American Mathematical Society.
The editorial team assembled material from contributors who were faculty or researchers affiliated with institutions such as Harvard University, Stanford University, Caltech, and University of Oxford. The editor drew on source material and correspondence involving scholars in the lineage of David Hilbert, Emmy Noether, Sophus Lie, and later figures like Atle Selberg and Paul Cohen. Copyediting and peer review included input tied to societies including the Mathematical Association of America and the Society for Industrial and Applied Mathematics.
Critics and reviewers compared the encyclopedia with reference works such as Encyclopaedia Britannica and specialized compendia like Handbook of Mathematical Functions by Milton Abramowitz and Ira Stegun. Mathematicians and educators cited it alongside textbooks from Walter Rudin, Tom M. Apostol, and Michael Spivak for concise exposition. Libraries at Yale University, University of Chicago, and national libraries acquired copies for departmental reference, and it was used in curricula influenced by conferences organized by the International Congress of Mathematicians.
Editions and derivative works were issued in multiple markets, with translations and printings tied to publishers operating in regions associated with Springer-Verlag, Elsevier, and national presses in countries represented by Institut Henri Poincaré and Deutsche Mathematiker-Vereinigung. International academic centers, including University of Tokyo, Tsinghua University, and Moscow State University, integrated the work into their reference collections.
The encyclopedia is often paired on shelves with comprehensive references such as works by Donald Knuth on algorithms, the CRC Handbook of Chemistry and Physics, and classic treatises by Carl Friedrich Gauss and Leonhard Euler. Its legacy appears in online compendia associated with projects like Wolfram Research and digital repositories curated by institutions like the Library of Congress and the British Library. The format influenced later concise references and educational supplements circulated through university presses and professional societies.
Category:Mathematics reference works Category:Encyclopedias