Mathematical Methods in Science

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Cambridge University Press, 1977 - Mathematics - 234 pages
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'Mathematics, taught and learned appropriately, improves the mind and implants good habits of thought.' This tenet underlies all of Professor Pólya's works on teaching and problem-solving. This book captures some of Pólya's excitement and vision. In it he provides enlightenment for all those who have ever wondered how the laws of nature were worked out mathematically. The distinctive feature of the present book is the stress on the history of certain elementary chapters of science; these can be a source of enjoyment and deeper understanding of mathematics even for beginners who have little, or perhaps no, knowledge of physics.
 

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Contents

INTRODUCTION
1
SUCCESSIVE APPROXIMATION
32
From the History of Statics
47
section J VECTORS
58
From the History of Dynamics
82
NEWTON
105
THE PENDULUM
125
Physical Reasoning in Mathematics
159
POWER SERIES
192
PHYSICAL ANALOGY
224
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