Mathematical Thought From Ancient to Modern Times, Volume 1, Volum 3

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Oxford University Press, 1 de març 1990 - 432 pàgines
The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.
 

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Continguts

Mathematics in Mesopotamia
ii
Egyptian Mathematics
xix
The Creation of Classical Greek Mathematics
xxxii
Euclid and Apollonius
lxxvi
Geometry
4-35
The Reemergence of Arithmetic
5-28
The Greek Rationalization of Nature
5-48
The Demise of the Greek World
5-85
The Binomial Theorem and Allied Topics
5-226
The Theory of Numbers
5-228
The Relationship of Algebra to Geometry
5-235
The Beginnings of Projective Geometry 1 The Rebirth of Geometry
5-244
The Problems Raised by the Work on Perspective
5-246
The Work of Desargues
5-248
The Work of Pascal and La Hire
5-257
The Emergence of New Principles
5-262

The Mathematics of the Hindus and Arabs
5-101
The Medieval Period in Europe
5-125
The Renaissance 1 Revolutionary Influences in Europe
5-147
The New Intellectual Outlook
5-150
The Spread of Learning
5-153
Humanistic Activity in Mathematics
5-154
The Clamor for the Reform of Science 2 3 4 5
5-158
The Rise of Empiricism
5-163
Mathematical Contributions in the Renaissance 1 Perspective
5-169
Geometry Proper
5-173
Algebra
5-176
Trigonometry
5-178
The Major Scientific Progress in the Renaissance
5-182
Remarks on the Renaissance
5-192
Arithmetic and Algebra in the Sixteenth and Seventeenth Centuries 1 Introduction
5-196
The Status of the Number System and Arithmetic
5-197
Symbolism
5-209
The Solution of Third and Fourth Degree Equations
5-214
The Theory of Equations
5-223
Coordinate Geometry 1 The Motivation for Coordinate Geometry
5-267
The Coordinate Geometry of Fermat
5-268
René Descartes
5-269
Descartess Work in Coordinate Geometry
5-275
SeventeenthCentury Extensions of Coordinate Geometry
5-288
The Importance of Coordinate Geometry
5-294
The Mathematization of Science 1 Introduction
5-299
Descartess Concept of Science
5-300
Galileos Approach to Science
5-302
The Function Concept
5-314
The Creation of the Calculus 1 The Motivation for the Calculus
5-323
Early SeventeenthCentury Work on the Calculus
5-325
The Work of Newton
5-343
The Work of Leibniz
5-363
A Comparison of the Work of Newton and Leibniz
5-375
The Controversy over Priority
5-377
Some Immediate Additions to the Calculus
5-378
The Soundness of the Calculus
5-381
List of Abbreviations Index
24

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Sobre l'autor (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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