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Product Description
Product Description
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
1 of 1 people found the following review helpful
3.0 out of 5 stars
decent book with some drawbacks,
By A Customer
This review is from: Calculus: An Intuitive and Physical Approach (Second Edition) (Paperback)
The other reviews already delineated the good points of this textbook, namely that it is well-written and easy to follow. This is a good book for self-learning introductory calculus. I will try to briefly address the drawbacks. First, there are virtually no proofs to be found here. Instead, the author gives intuitive arguments to give a feel for how the mathematics works, claiming that this approach is least confusing. While not everyone may read them, complete proofs should be at least included for those who want to truly understand what's going on. The second problem is the total absense of vectors. I don't understand why these were left out, because the book otherwise seems to cover the complete introductory calculus sequence typically taught in universities. This is even more curious because at the end of the book there are two chapters on differential equations and limits respectively, so space probably wasn't a concern. The book would be better if the last 2 chapters were scrapped, and replaced with a discussion of vectors up to perhaps Stoke's Theorem. I give the book 3 stars because, while it is decent, there are plenty of good introductory calculus books out there and there isn't any particular reason one should choose this one over many others.
5.0 out of 5 stars
An excellent introduction to basic calculus,
By A Customer
This review is from: Calculus: An Intuitive and Physical Approach (Hardcover)
Kline does a superb job at covering a wide range of topics in calculus, while presenting them in a clear and relatively in-depth manner. This book is not only great for someone who has no experience in calculus, but it also great for someone who is reviewing the basics. Although the size of the book is somewhat intimidating (950ish pages), the book is written in a very readable and logical order. Also, interspersed throughout are some extra sections that discuss specific physical applications of the techniques studied in that chapter. Personally, these sections are fascinating and quite rewarding. It succeeds both as an overview/introduction to calculus and as a segue to higher mathematics. If you are just starting out on your voyage through calculus or are brushing up on the basics, this is the book for you.One small problem is that there are only answers listed for some of the questions in the problem sets. These answers are listed right next to the problems themselves, so they are difficult to cover up. Furthermore, the solutions manual is very hard to find, if it is available at all. My advice is to do the problems from a different text that has answers and just read straight through this book. Other than that, however, this is a great book.
5.0 out of 5 stars
Kline rocks!,
This review is from: Calculus: An Intuitive and Physical Approach (Second Edition) (Paperback)
I totally agree with Kline in that calculus, at the beginning anyway, should be taught in an intuitive way, since 1st-years aren't used to mathematical rigour. There is plenty of time to get used to the more abstract, rigourous approach to doing calculus/analysis.
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