PDF Ebook Mathematics and the Physical World (Dover Books on Mathematics), by Morris Kline
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Mathematics and the Physical World (Dover Books on Mathematics), by Morris Kline
PDF Ebook Mathematics and the Physical World (Dover Books on Mathematics), by Morris Kline
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"Kline is a first-class teacher and an able writer. . . . This is an enlarging and a 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 ChronicleSince 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.
- Sales Rank: #471990 in eBooks
- Published on: 2012-03-15
- Released on: 2012-03-15
- Format: Kindle eBook
About the Author
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.
Most helpful customer reviews
106 of 108 people found the following review helpful.
Still the BEST basic review of Applied Mathematics..
By Kersi Von Zerububbel
This book is geared to the general reader who has a cursory knowledge of mathematics. The chapters are organized around physical phenomena and the math behind their explanation. The result is a charming and VERY useful book. I have the 1970 edition which is quite worn from frequent use. The chapter titled, Differential Equations - The Heart Of Analysis, is exceptionally beautiful and pertinent. Reading this book is akin to a treasure hunt. There is page after page of mathematical discovery. Reading the chapter on Motion Of Projectiles made me terribly angry at the banal way in which this topic is handled in high school texts. Things such as quadratic equations and the law of gravitation are explained very well. I sincerely believe that this book should be a required text for High School math students. Highly recommended. The Dover edition is very affordable so even if it means foregoing a meal, do it. Buy this book! Well worth your time.
53 of 53 people found the following review helpful.
A Tasty Mix of Math and History
By Peter A. Farrell
Kline's book is a surprisingly accessible history of math, equations and all. It's a perfect balance for those who know their history and want to know more about the math behind scientific ideas, and those who know their math and want to delve into the practical applications of mathematical ideas.
I loved the examination of how Eratosthenes calculated the circumference of the earth pretty accurately for a guy without so much as a telescope. I had terrific "aha" experiences reading the book, and the students I tutor in math are getting a bunch of interesting background stories with their algebra lessons.
Galileo's and Newton's calculations are a great way for the theoretically inclined to get their feet wet in physics. For all of us mathematicians who actually thought math developed in a vacuum, this book has excellent examples of how inextricably linked math, science and history are.
32 of 32 people found the following review helpful.
I wish this had been my physics textbook ...
By CubeBoy
I still have a hard time deciding if this is a book about math or physics, but actually, it's about both. Kline follows the history of physics beginning with the Greeks as a way to describe the evolution of mathematics up to the 20th century, and he does it brilliantly.
Kline is a master teacher, and his enthusiasm for his subject is evident. This is probably the clearest writing on mathematics (and physics) that I have ever seen. His chapters on the differential and integral calculus make their basic principles understandable to anyone with a high-school mathematics education -- not an easy task.
He shows how again and again through history, problems in physics led to mathematical discoveries which not only allowed the physical problems to be solved, but also advanced mathematics itself. And yet nowhere in the book is anything beyond simple algebra and geometry required to understand what he's saying. A remarkable achievement.
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