Mathematical Thought From Ancient to Modern Times, Volume 1, Volum 1

Forside
Oxford University Press, 1. mar. 1990 - 432 sider
This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians 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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Innhold

Mathematics in Mesopotamia
The School ofEudoxus 10 Aristotle and HisSchool 4 Euclid and Apollonius 1 Introduction
4-2
The FunctionConcept 17 The Creation ofthe Calculus 1 The Motivation forthe Calculus
4-4
Babylonia
4-6
Merits and Defectsof theElements
4-10
Founding
4-35
The Beginnings of Projective Geometry
5-1
Egyptian Mathematics 1 Background
5-2
The Reemergence of Arithmetic
5-27
7
5-50
Egyptian
5-74
The Demise oftheGreek
5-93
3
5-165
Mathematical Contributions in the Renaissance
5-192
The Mathematics of the Hindus and Arabs
5-200
Geometry
5-359

The Renaissance 1 Revolutionary InfluencesinEurope
5-11
The Mathematization of Science
5-16
List of Abbreviations
117

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Om forfatteren (1990)

Morris Kline is Professor of Mathematics, Emeritus, at the Courant Institute of Mathematical Sciences, New York University, where he directed the Division of Electromagnetic Research for twenty years.

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