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, theorems on differentiation and antidifferentiation, the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Examples. 1967 edition. Solution guide available upon request.
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Most Helpful Customer Reviews
135 of 136 people found the following review helpful:
5.0 out of 5 stars
A fine book!,
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This review is from: Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics) (Paperback)
Morris Kline has written a really excellent book here. It is somewhat different from the typical calculus books one reads: there is less formalism and greater apeal to your intuition (hence the title). Kline works hard to ground the book to reality, so is it useful and applicable, rather than just an exercise in superficial algebraic regurgitation as so many others teach calculus to be. This is a work that wants you to understand not only how...but why! This is a truly important approach: because if you understand why, then you understand how and you have the flexibility to really use the calculus. Just knowing how means you loose some of the connection and treat it as a process rather than a tool. This books at times feels deep, like the philosophy of calculus in addition to a howto, not just a perfunctry, dry how-to.Kline provides realistic examples and focus attention on scientific and practical uses of calculus: eg motion down a inclined plain, projectiles, etc. There are lots of problems in each section. ONly complaint: the answers are a little sparse at times. Generally the problems are robust and a little tricky know and then (this is good! Makes you interpret and apply...not just apply). The literacy components are quite strong in questions. Kline has an excellent teaching pedagogy! The style of writing is excellent, familiar and warm. Kline write like he is like that smart, cool, friendly lecturer we found once at university and longed for the rest of the time we were there. He clearly loves what he is teaching and wants you to succeed and tries to help you to do so. His language is not so stilted as most mathematics books seem to be; humor creeps in here and there which is cool because it makes you feel welcome inside the book, not just a nobody to whom the author is indifferent. The book is arranged in a typical sequence (you can look inside the book and see that). And is the best value for money calculus book I have EVER seen: it is VERY good. 960 pages of quality. If you want a book of calculus problems buy Schaum's...but if you want to understand calculus...buy this! of course this an introductory calculus book so there is no vector calculus, but it does get multivariate! In all: well worth the 5 stars and the cool price! SHame more books are not like this one.
110 of 111 people found the following review helpful:
4.0 out of 5 stars
Answer Key is Available,
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This review is from: Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics) (Paperback)
Note: if you write to the publisher (Dover Publications, on the web), they will kindly email you a copy of a PDF file containing the full text of the answer key. I was grateful because without it I would be lost!I'm only on page fifty or so of the book, and it is very good so far. It's rather challenging (read: hard). However, considering that it is actually making you apply what you're learning to actual concerns of real life, the sweat on the brow is a good thing. (I'm just doing this for fun--it's been 14 years since I've had a math class, so hard for me might be easy for the young laddies and lassies coming straight out of trig.) If you've had physics, you probably remember having had to memorize lots of kinematic equations. In this book, Kline actually walks you through the process of _making_ the equations by using Calculus--pretty nifty, and something that is lacking in most high schools: math and physics hand in hand. UPDATE - SOLUTIONS MANUAL ========================= A number of people have contacted me trying to obtain the Solutions Manual to this book. I've posted a copy on my website because it is freely distributable to users of the textbook. However, Google web search has not picked it up for some reason. However, if you go to Google Books, in my review of the Solutions Manual, you will find a link to my website so you can download it. In Google Books, search on the ISBN of the Solutions Manual, ISBN-10: 0471023965 or ISBN-13: 9780471023968, in order to find it. You can download it here, if Amazon lets the URL stand in this review: [...]
66 of 66 people found the following review helpful:
5.0 out of 5 stars
Top rate introduction to the Calculus,
This review is from: Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics) (Paperback)
As a high school teacher of mathematics and one who truly loves the subject, this is one of the better introductions to the Calculus (others include "Calculus Made Easy" by Silvanus Thompson and "Calculus: A Liberal Art" by W. M. Priestley). Kline, one of those rare teachers who can really communicate the subject, is at home in explaining the "hows and whys" of this most fascinating and beautiful mathematical tool and he even includes review for those still weak in some aspects of algebra and coordinate geometry. Some of the reviewers of this book have complained about the lack of a solutions manual. It is available. Contact Dover Publications (www.doverpublications.com) and they will send you a PDF version free of charge! Because of the availability of these solutions, this book will serve as an excellent and inexpensive source of study (for upper level high school, first year college, independent study, or as calculus refresher) for mathophiles for many years to come.
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