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Calculus: An Intuitive and Physical Approach
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Calculus: An Intuitive and Physical Approach

4.23  ·  Rating Details ·  158 Ratings  ·  5 Reviews
Application-oriented introduction relates the subject as closely as possible to science. In-depth explorations of the derivative, the differentiation and integration of the powers of x, and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques ...more
Paperback, Second Edition, 960 pages
Published June 19th 1998 by Dover Publications (first published 1967)
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Apr 29, 2009 Michael added it
Shelves: math, nonfiction
It's interesting to contrast the approach of this book with that of Spivak's Calculus. Spivak takes a rigorous approach, claiming that this enhances intuition, rather than detracting from it. Kline says exactly the opposite: the rigor is a confusing distraction, and students must first learn concepts intuitively. Spivak says that the chapters in his book should be read in order, as the book is designed to show that Calculus is a coherent subject rather than a collection of techniques. Kline says ...more
Ethan Hoskins
Oct 13, 2013 Ethan Hoskins rated it it was amazing
This book is great for students who want to really grasp the main ideas of calculus, it contains a great deal of technical vocabulary and concepts that gives the reader tremendous insight into problems that you may not be able to get in a classroom environment, but in order to fully understand advanced topics in this book, I would recommend learning how to do solve differential and integral problems ahead of time because this book will be telling you why you are doing something not just how to d ...more
William Schram
Jul 28, 2015 William Schram rated it it was amazing
Very good for learning, but I need more practice. Especially in Integration by Parts and Partial Differentiation.

I only got up to Calculus II in school, but I did enjoy this regardless.

Through a second reading, I can say that I really like the practical approach taken for this book. One chapter will introduce a concept and the next chapter will apply it to a physical situation. The text goes from the introduction to functions and limits to partial differentiation.
Apr 21, 2011 Andrea is currently reading it
very readable, very accessible, an excellent refresher that deepens my understanding to boot.
Ben Royal
Nov 07, 2009 Ben Royal rated it liked it
Sometimes painfully repetitious, but it takes you to an intuitive understanding of calculus you may have forgotten over the years. My last calculus class was in 1965, hence the need to refresh.
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Morris Kline was a Professor of Mathematics, a writer on the history, philosophy, and teaching of mathematics, and also a popularizer of mathematical subjects.
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“mathematicians of that century, like those of most great periods, were the very physicists and astronomers who raised the questions,” 0 likes
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