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Encyclopedic Dictionary of Mathematics

The Mathematical Society of Japan

Kiyoshi Ito, Kiyoshi Ito (Editor), Mathematical Society of Japan (Editor)


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When the first edition of the Encyclopedic Dictionary of Mathematicsappeared in 1977, it was immediately hailed as a landmark contribution tomathematics: "The standard reference for anyone who wants to get acquainted with anypart of the mathematics of our time" (Jean Dieudonn?, American MathematicalMonthly). "A magnificent reference work that belongs in every college and universitylibrary" (Choice), "This unique and masterfully written encyclopedia is more thanjust a reference work: it is a carefully conceived course of study in graduate-levelmathematics" (Library Journal).The new edition of the encyclopedia has been revisedto bring it up to date and expanded to include more subjects in applied mathematics.There are 450 articles as compared to 436 in the first edition: 70 new articles havebeen added, whereas 56 have been incorporated into other articles and out-of-datematerial has been dropped. All the articles have been newly edited and revised totake account of recent work, and the extensive appendixes have been expanded to makethem even more useful. The cross-referencing and indexing and the consistentset-theoretical orientation that characterized the first edition remainunchanged, The encyclopedia includes articles in the following areas: Logic andFoundations; Sets, General Topology, and Categories; Algebra; Group Theory; NumberTheory; Euclidean and Projective Geometry; Differential Geometry; AlgebraicGeometry; Topology; Analysis; Complex Analysis; Functional Analysis; Differential, Integral, and Functional Equations; Special Functions; Numerical Analysis; ComputerScience and Combinatorics; Probability Theory; Statistics; Mathematical Programmingand Operations Research; Mechanics and Theoretical Physics; History ofMathematics.Kiyosi Ito is professor emeritus of mathematics at KyotoUniversity.

MIT Press (MA), 9780262090261, 2120pp.

Publication Date: June 1, 1987