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Elements of the History of Mathematics / Edition 1

Elements of the History of Mathematics / Edition 1

by N. Bourbaki, J. Meldrum
Elements of the History of Mathematics / Edition 1
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ISBN-10:
3540647678
ISBN-13:
9783540647676
Pub. Date:
12/04/1998
Publisher:
Springer Berlin Heidelberg
ISBN-10:
3540647678
ISBN-13:
9783540647676
Pub. Date:
12/04/1998
Publisher:
Springer Berlin Heidelberg
Elements of the History of Mathematics / Edition 1

Elements of the History of Mathematics / Edition 1

by N. Bourbaki, J. Meldrum

Overview

Each volume of Nicolas Bourbakis well-known work, The Elements of Mathematics, contains a section or chapter devoted to the history of the subject. This book collects together those historical segments 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.

Product Details

ISBN-13: 9783540647676
Publisher: Springer Berlin Heidelberg
Publication date: 12/04/1998
Edition description: 1st ed. 1994. 2nd printing 1998
Pages: 301
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1. Foundations of Mathematics; Logic; Set Theory.- 2. Notation; Combinatorial Analysis.- 3. The Evolution of Algebra.- 4. Linear Algebra and Multilinear Algebra.- 5. Polynomials and Commutative Fields.- 6. Divisibility; Ordered Fields.- 7. Commutative Algebra. Algebraic Number Theory.- 8. Non Commutative Algebra.- 9. Quadratic Forms; Elementary Geometry.- 10. Topological Spaces.- 11. Uniform Spaces.- 12. Real Numbers.- 13. Exponentials and Logarithms.- 14. n Dimensional Spaces.- 15. Complex Numbers; Measurement of Angles.- 16. Metric Spaces.- 17. Infinitesimal Calculus.- 18. Asymptotic Expansions.- 19. The Gamma Function.- 20. Function Spaces.- 21. Topological Vector Spaces.- 22. Integration in Locally Compact Spaces.- 23. Haar Measure. Convolution.- 24. Integration in Non Locally Compact Spaces.- 25. Lie Groups and Lie Algebras.- 26. Groups Generated by Reflections; Root Systems.
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