Mathematical Thought From Ancient to Modern Times, Volum 3

Portada
Oxford University Press, 1 de març 1990 - 448 pàgines
This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.
 

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Continguts

34 The Theory of Numbers in the Nineteenth Century
813
35 The Revival of Projective Geometry
834
36 NonEuclidean Geometry
861
37 The Differential Geometry of Gauss and Riemann
882
38 Projective and Metric Geometry
904
39 Algebraic Geometry
924
40 The Instillation of Rigor in Analysis
947
41 The Foundations of the Real and Transfinite Numbers
979
45 Integral Equations
1052
46 Functional Analysis
1076
47 Divergent Series
1096
48 Tensor Analysis and Differential Geometry
1122
49 The Emergence of Abstract Algebra
1136
50 The Beginnings of Topology
1158
51 The Foundations of Mathematics
1182
List of Abbreviations
i

42 The Foundations of Geometry
1005
43 Mathematics as of 1900
1023
44 The Theory of Functions of Real Variables
1040

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