- Hardcover: 1024 pages
- Publisher: Addison-Wesley; Subsequent edition (June 1, 1982)
- Language: English
- ISBN-10: 0201050455
- ISBN-13: 978-0201050455
- Product Dimensions: 8 x 1.8 x 9.8 inches
- Shipping Weight: 4 pounds
- Average Customer Review: 4 customer reviews
- Amazon Best Sellers Rank: #3,947,623 in Books (See Top 100 in Books)
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Calculus Subsequent Edition
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It is surprising to read the reviews that think this book is a bit abstract. It has a plenty of concrete examples, of varying degrees of difficulty, and they are worked out in reasonable detail. In fact, that is what I like about this book. I have seen some inferior calculus books or math books in general where the author works out only simple examples or insufficient variety of difficult examples. If a person is having a trouble with this book, I recommend a serious review of algebra 2 and/or precalculus.
Looking back at the book now, I prefer what Swokowski did with the series chapter much better. (Loomis has interesting discussions on irrational numbers etc, but its series chapters are not entirely satifactory. Swokowski's series chapter is crytal clear.) [Edit: Also, the section on polar coordinate graphs was unsatisfactory to me in part because I was not previously exposed to polar coordinates, and I had to go through different calculus books at the library for a better explanation. (Calculus by White was satisfactory.) The rest of the polar coordinate sections were fine - not very extensive but adequate and not bogging down as it should be at this level. Maybe an appendix on additional polar coord topics, such as the names of various curves and where one would see them, would be helpful. I have downgraded this book to 4 stars from 5 because it is, while not defective, less than sparkling on both polar coord and series. But the book is fine on ordinary differentiation and integration.] I do like the chapters on vectors and multivariables. The chapter on multiple integral starts out by stating that it is only an introduction to a vast subject, a statement I appreciate only after reading Buck's Advanced Calculus. It is easy to get a misconception at multivariable calculus to think that all solvable multiple integrals are iterated integrals. (to discourage first year professors from going too far. But students ought to know where things are headed.) Authors should include examples of non-iteratable multiple integrals whose solutions are both so-called elementary functions and not expressible as a finite combination of elementary functions as an emphasis though clear note that the scope is only iterated integrals at that level. It has an interesting chapter devoted to Green's theorem, which is only briefly treated as a section in other books. That chapter was also helpful when I learned contour integrals and curl-free functions. The book does not discuss Jacobian (a possible handicap), div, curl, or the Divergence Theorem. Swokowski introduces Jacobian and the Divergence theorem. While to master those concepts, we have to move on to "advanced calculus" or "vector calculus", a brief introduction is not necessarily a bad thing. While a class does not need to cover it, a motivated student can read it on his own. After this book, I recommend Shuey's "Informal Vector Calculus"(brief), Buck's "Advanced Calculus"(broader in scope). (and possibly Kreyzig's or Wiles' "Advanced Engineering Mathematics")
PS: This book covers cal 1,2, and 3. Cal 3 is also called multivariable but not the same class as vector cal, which is a next level class. (I did not know the difference and took classes for which vect cal is a prerequisite with only having taken multi thinking I met the pre...)
PS: Another complain is that Newton's binomial theorem (generalization of hs binomial th) is not mentioned (it is mentioned in Swokowski). In many later courses my professors used that theorem without even mentioning what it is because they assumed it is too elementary while I was lost, thinking possibly Taylor series was being used. Only when I happened across Swokowski later, an aha moment.
I used it for an honors Calculus class at Cornell University
in the Spring of 1996, and it was TERRIBLE! There are little
or no examples, and the author relies on the reader's understanding
of purely theoretical concepts at the first glance. The pages are
even boring to look at with little or no illustrations showing
the applications of the concepts at hand. Thomas & Finney's "Calculus
and Analytic Geometry" is the best Calculus book I've ever seen
and is a much better choice.