Calculus
By Benjamin Crowell
* Publisher: Unknown Publisher
* Number Of Pages:
* Publication Date: 2009-01-01
* ISBN-10 / ASIN: B002ADCAI0
* ISBN-13 / EAN:
Summary: Beginners Calculus
Rating: 5
I like this book very much. I should explain that I am a complete beginner in calculus. Indeed, I have only recently gone beyond high-school algebra. Basically, I hit a wall right around the time I get to the Quadratic formula. Yet, there is so much you can do with even rudimentary calculus. So, I have begun to study the subject. My early impressions are that this book is a fabulous addition to Thompson's "Calculus Made Simple". My suggestion? If you wish to learn basic calculus from scratch, these are the two books to get.
This short introductory text focuses mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals.
Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.
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