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Title | Mathematics and the Physical World |
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Author(s) | Morris Kline |
Description | Since the major branches of mathematics grew and expanded in conjunction with science, the most effective way to appreciate and understand mathematics is in terms of the study of nature. Unfortunately, the relationship of mathematics to the study of nature is neglected in dry, technique-oriented textbooks, and it has remained for Professor Morris Kline to describe the simultaneous growth of mathematics and the physical sciences in this remarkable book. In a manner that reflects both erudition and enthusiasm, the author provides a stimulating account of the development of basic mathematics from arithmetic, algebra, geometry, and trigonometry, to calculus, differential equations, and the non-Euclidean geometries. At the same time, Dr. Kline shows how mathematics is used in optics, astronomy, motion under the law of gravitation, acoustics, electromagnetism, and other phenomena. Historical and biographical materials are also included, while mathematical notation has been kept to a minimum. This is an excellent presentation of mathematical ideas from the time of the Greeks to the modern era. It will be of great interest to the mathematically inclined high school and college student, as well as to any reader who wants to understand—perhaps for the first time—the true greatness of mathematical achievements. |
Dedication | "TO Douglas Mann Kline" |
ISBN | 0-486-24104-1 |
Book Dimensions | Width: 5.75″ (5 6/8″) |
Height: 8.25″ (8 1/4″) | |
Depth: 0.94″ (15/16;″) | |
Page Count | 512 |
Contents | 1: The Why and Wherefore, 2: Discovery and Proof, 3: The Science of Arithmetic, 4: The Deeper Waters of Arithmetic, 5: Numbers, Known and Unknown, 6: The Laws of Space and Forms, 7: The Dimensions of the Heavenly Spheres, 8: The Revolutions of the Heavenly Spheres, 9: The Scientific Revolution, 10: The Wedding of Curve and Equation, 11: Explanation Versus Description, 12: Vertical Motion, 13: Motion on an Inclined Plane, 14: The Motion of Projectiles, 15: From Projectile to Planet and Satellite, 16: Deductions from the Law of Gravitation, 17: More Light on Light, 18: The Mathematics of Oscillatory Motion, 19: Oscillations of the Air, 20: Old Foes with New Faces, 21: Mathematical Oscillations of the Ether, 22: The Differential Calculus, 23: The Integral Calculus, 24: Differential Equations—The Heart of Analysis, 25: From Calculus to Cosmic Planning, 26: Non-Euclidean Geometries, 27: Mathematics and Nature, Index |
Author Photograph | -- |
Cover Design | Paul E. Kennedy |
Published | March 1, 1981 |
Publisher | Dover Publications (www.doverpublications.com). Published in Canada by General Publishing Company, Ltd., 30 Lesmill Road, Don Mills, Toronto, Ontario. Published in the United Kingdom by Constable and Company, Ltd. |
Manufactured in | United States of America. Dover Publications, Inc. 180 Varick Street New York, N.Y. 10014 |
Copyright | © 1959 by Morris Kline. All Rights Reserved under Pan American and International Copyright Conventions. |
Book Format | Kindle, Hardcover, eBook |
Quoted Reviews | "Kline is a first-class teacher and an able writer. . . . This is an enlarging and brilliant book. . . ." — Scientific American. "Dr. Morris Kline has succeeded brilliantly in explaining the nature of much that is basic in math, and how it is used in science. . . ." — San Francisco Chronicle |
Best Seller's List | -- |
About The Author | DR. MORRIS KLINE is a prominent teacher, research mathematician, and writer. He has taught mathematics at the undergraduate and graduate levels since 1930 and has been a guest lecturer at a number of universities in the United States and Europe. He is currently Professor of Mathematics at New York University. His research career was effectively launched during two years as a research assistant at the Institute for Advanced Study of Princeton. A good deal of Dr. Kline's time is still devoted to the direction of the Division of Electromagnetic Research of New York University. During the year 1958-59 he was a John Simon Guggenheim Memorial Fellow and a Fullbright lecturer at the Technical University in Aachen, Germany. Dr. Kline is married and has three children; the Klines live in Brooklyn, New York. |
Other | Dover republication of the edition originally published by Henry Holt & Co., New York, 1911. |
Library of Congress Cataloging-in-Publication Data | ???? |
CIP Number | 80-83667 |
LC Control Number | ???? |
LC Call Number | ???? |
DDC Call Number | ???? |
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