Elements of the history of mathematics

著者

• Bourbaki, Nicolas
• Meldrum, john

書誌事項

Elements of the history of mathematics

Nicolas Bourbaki ; translated from the French by John Meldrum

Springer-Verlag, c1994

• : gw
• : softcover
• : us

タイトル別名

Eléments d'histoire des mathématiques

注記

Includes bibliography (p. [275]-295) and index

Originally published: Paris: Masson Editeur, c1984

内容説明・目次

巻冊次

: gw ISBN 9783540193760

内容説明

This volume contains excerpts from the author's multi-volume treatise "The Elements of Mathematics", emphasizing the emergence, development and interaction of the leading mathematical theories. It includes accounts of the evolution of algebra, geometry and infinitesimal calculus.

巻冊次

: softcover ISBN 9783540647676

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA23050384
• ISBN:
  • 3540193766
  • 3540647678
  • 0387193766
• LCCN: 94019898
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: fre
• 出版地: Berlin ; New York
• ページ数/冊数: viii, 301 p.
• 大きさ: 24-25 cm
• 分類:
  • NDC8 : 410.2
• 件名:
  • LCSH : Mathematics -- History