Mathematics and the Search for Knowledge

Mathematics and the Search for Knowledge

by Morris Kline
     
 

ISBN-10: 019503533X

ISBN-13: 9780195035339

Pub. Date: 07/01/1985

Publisher: Oxford University Press, USA

Morris Kline is that rare scientist with the ability to convey the complexity and richness of his specialty in terms the general reader can appreciate. In this book, Kline examines the development of mathematics as our most powerful instrument for exploring the physical world. Since ancient Greek times, scientists have turned increasingly away from perception and

Overview

Morris Kline is that rare scientist with the ability to convey the complexity and richness of his specialty in terms the general reader can appreciate. In this book, Kline examines the development of mathematics as our most powerful instrument for exploring the physical world. Since ancient Greek times, scientists have turned increasingly away from perception and toward mathematics as a way of observing phenomena such as gravitation, electromagnetic waves, and the universe of space-time. Beginning with the math of the ancient Greeks, and continuing with early modern scientists such as Galileo and Newton and the twentieth-century theories of relativity and quanta, Kline charts the rise of mathematics as a scientific tool. 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.

Product Details

ISBN-13:
9780195035339
Publisher:
Oxford University Press, USA
Publication date:
07/01/1985
Pages:
272
Product dimensions:
6.44(w) x 9.56(h) x 0.98(d)

Table of Contents

Historical Overview: Is There an External World?3
I.The Failings of the Senses and Intuition21
II.The Rise and Role of Mathematics38
III.The Astronomical Worlds of the Greeks51
IV.The Heliocentric Theory of Copernicus and Kepler68
V.Mathematics Dominates Physical Science86
VI.Mathematics and the Mystery of Gravitation107
VII.Mathematics and the Imperceptible Electromagnetic World126
VIII.A Prelude to the Theory of Relativity148
IX.The Relativistic World163
X.The Dissolution of Matter: Quantum Theory181
XI.The Reality of Mathematical Physics197
XII.Why Does Mathematics Work?210
XIII.Mathematics and Nature's Behavior228
Bibliography246
Index255

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