Item description for Elements of the History of Mathematics by Nicolas Bourbaki & J. Meldrum...
Nicolas Bourbaki's multi-volume treatise "The Elements of Mathematics" contains, in each volume, a section or chapter devoted to the history of the subject. This book collects together these historical segments, without any claim to establishing a complete or chronological history of mathematics, but with an emphasis on the emergence, development and interaction of the leading ideas of the mathematical theories presented in the "Elements". In particular, the book provides a highly readable account of the evolution of algebra, geometry, infinitesimal calculus, and of the concepts of number and structure, from the Babylonian era through to the 20th century.
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Est. Packaging Dimensions: Length: 0.75" Width: 6.25" Height: 9.5" Weight: 1.05 lbs.
Release Date Dec 4, 1998
ISBN 3540647678 ISBN13 9783540647676
Reviews - What do customers think about Elements of the History of Mathematics?
Good source, but rather incomplete. Jul 31, 2000
I really expected more from such a title and such an author (group of authors as a matter of fact). The book does not cover the history of all important branches of modern mathematics, and those included are not treated in a complete manner. Their major lacks occur in 20th century mathematics. There's a lot of topics and names missing, for example: algebraic geometry, coding theory, dynamical systems, harmonic analysis, complex analysis, multidimensional complex analysis, hypercomplex analysis, approximation theory,... ; Samuel Eilenberg, Norman Steenrod, Salomon Lefschetz, Elias Stein, Alberto Calderón, Peter Lax, Abraham Besicovitch, Michael Atiyah, Wendell Fleming, Witold Hurewicz...
Eventhough the Bourbaki group has made a great effort to synthesize and standarize a lot of branches of modern mathematics the actual product of their work (the Elements of Mathematics, the Fascicules of Results, etc.) may well become obsolete and forgotten because of their limited perspective. Nevertheless, the book contains some useful data that will prove valuable to those interested in mathematics' history, above all, the first essay on the foundations of mathematics.
Contents: Foundations of Mathematics, Logic, Set Theory; Notation, Combinatorial Analysis; The Evolution of Algebra; Linear Algebra and Multilinear Algebra; Polynomials and Commutative Fields; Divisibility, Ordered Fields; Commutative Algebra, Algebraic Number Theory; Non-Commutative Algebra; Quadratic Forms, Elementary Geometry; Topological Spaces; Uniform Spaces; Real Numbers; Exponentials and Logarithms; n-Dimensional Spaces; Complex Numbers, Measurement of Angles; Metric Spaces; Infinitesimal Calculus; Asymptotic Expansions; The Gamma Function; Function Spaces; Topological Vector Spaces; Integration in Locally Compact Spaces; Haar Measure, Convolution; Integration in Non-Locally Compact Spaces; Lie Groups and Lie Algebras; Groups Generated by Reflections; Root Systems.
Extensive references (not common in Bourbaki writings); nice softbound.