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Title:
Mathematics and the search for knowledge
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Publication Information:
New York : Oxford University Press, 1985
ISBN:
9780195035339

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30000000946750 QA99 K55 1985 Open Access Book Book
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Summary

Summary

In this book Kline examines the development of mathematics as our most powerful instrument for exploring the physical world. He probes our existing world of mathematics and illuminates its workings as a science enabling us to penetrate the secrets of the world's natural phenomena.


Author Notes

Morris Kline, Professor of Mathematics, Emeritus, at New York University


Table of Contents

Historical Overview: Is There an External World?p. 3
I. The Failings of the Senses and Intuitionp. 21
II. The Rise and Role of Mathematicsp. 38
III. The Astronomical Worlds of the Greeksp. 51
IV. The Heliocentric Theory of Copernicus and Keplerp. 68
V. Mathematics Dominates Physical Sciencep. 86
VI. Mathematics and the Mystery of Gravitationp. 107
VII. Mathematics and the Imperceptible Electromagnetic Worldp. 126
VIII. A Prelude to the Theory of Relativityp. 148
IX. The Relativistic Worldp. 163
X. The Dissolution of Matter: Quantum Theoryp. 181
XI. The Reality of Mathematical Physicsp. 197
XII. Why Does Mathematics Work?p. 210
XIII. Mathematics and Nature's Behaviorp. 228
Bibliographyp. 246
Indexp. 255
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