Elements of the history of mathematics

Nicolas Bourbaki ; translated from the French by John Meldrum

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.

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  • 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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書名 Elements of the history of mathematics
著作者等 Bourbaki, Nicolas
Meldrum J.
Meldrum john
書名別名 Eléments d'histoire des mathématiques
出版元 Springer-Verlag
刊行年月 c1994
版表示 1st ed. 1994. 2nd printing 1998
ページ数 viii, 301 p.
大きさ 24-25 cm
ISBN 0387193766
NCID BA23050384
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言語 英語
原文言語 フランス語
出版国 ドイツ