The Development of Mathematics

E.T. Bell

638 pages, parution le 26/02/2002

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Résumé

Filled with compelling insights of special interest to every mathematician, engineer and scientist, this time-honored study by one of the 20th century's foremost scholars and interpreters of the history and meaning of mathematics, surveys the roled played by mathematics in the evolution of civilization. It describes clearly the main principles, methods and theories of mathematics that have survived from about 4000 BC to 1945. 1945 edition.

Contents

To Any Prospective Reader

1 General Prospectus 3
2 The Age of Empiricism 26
3 Firmly Established 49
4 The European Depression 85
5 Detour through India, Arabia, and Spain 93
6 Four Centuries of Transition, 1202-1603 107
7 The Beginning of Modern Mathematics, 1637-1687 131
8 Extensions of Number 167
9 Toward Mathematical Structure 186
10 Arithmetic Generalized 218
11 Emergence of Structural Analysis 245
12 Cardinal and Ordinal to 1902 270
13 From Intuition to Absolute Rigor, 1700-1900 282
14 Rational Arithmetic after Fermat 296
15 Contributions from Geometry 320
16 The Impulse from Science 361
17 From Mechanics to Generalized Variables 370
18 From Applications to Abstractions 382
19 Differential and Difference Equations 400
20 Invariance 420
21 Certain Major Theories of Functions 469
22 Through Physics to General Analysis and Abstractness 516
23 Uncertainties and Probabilities 548

Notes 595
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Dover
Auteur(s)	E.T. Bell
Parution	26/02/2002
Nb. de pages	638
Format	13,5 x 21,5
Couverture	Broché
Poids	668g
Intérieur	Noir et Blanc
EAN13	9780486272399
ISBN13	978-0-486-27239-9