Elements of the History of Mathematics

N. Bourbaki (Autor)

Buch | Softcover

VIII, 301 Seiten

1998 | 1st ed. 1994. 2nd printing 1998
Springer Berlin (Verlag)
978-3-540-64767-6 (ISBN)

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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 ofthe 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.

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.

Erscheint lt. Verlag	18.11.1998
Übersetzer	J. Meldrum
Zusatzinfo	VIII, 301 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	484 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Themenwelt	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
Schlagworte	Calculus • complex number • Development • Functions • function space • History of Mathematics • Lie algebra • Lie group • logarithms • Mathematics • Mathematik, Geschichte • Microsoft Access • Multilinear Algebra • quadratic form • reflection • Volume
ISBN-10	3-540-64767-8 / 3540647678
ISBN-13	978-3-540-64767-6 / 9783540647676
Zustand	Neuware