Essential Calculus with Applications (Dover Books on Mathematics) [Paperback]

Richard A. Silverman (Author)

Book Description

Publication Date: August 1, 1989 | Series: Dover Books on Mathematics

Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of "Hints and Answers." 1977 edition.

Product Details

• Paperback: 320 pages
• Publisher: Dover Publications (August 1, 1989)
• Language: English
• ISBN-10: 0486660974
• ISBN-13: 978-0486660974
• Product Dimensions: 9.2 x 6.1 x 0.6 inches
• Shipping Weight: 14.4 ounces (View shipping rates and policies)
• Average Customer Review: 4.5 out of 5 stars  See all reviews (11 customer reviews)
• Amazon Best Sellers Rank: #69,891 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

34 of 34 people found the following review helpful:

5.0 out of 5 stars A Challenging (in a good way) Book, July 28, 2001

By A Customer

This review is from: Essential Calculus with Applications (Dover Books on Mathematics) (Paperback)

I am a graduate student in computer science, and I've forgotten quite a bit of math from college. I picked up this book and made a point to read it over the summer and do as many problems as I could. It is a very "tight" book, in the sense that there is not a lot of fluff (hence the "essential" in the title). The book seemed to maintain a nice balance between too hard and too easy so that I was always challenged. It is a very good book for me, and has a sufficient level of rigor so that I feel like I get some practice in that area as well. I would highly recommend it to someone wishing to learn calculus. In addition, it's always nice to find an author you like, because it usually means other books by that author will be good. As a bonus, it has solutions (or hints) to all the exercises so you can check your progress.

27 of 28 people found the following review helpful:

5.0 out of 5 stars Excellent, June 24, 2002

By 

Geoffrey Zenger (Burnaby, BC) - See all my reviews

This review is from: Essential Calculus with Applications (Dover Books on Mathematics) (Paperback)

Silverman's book is much clearer than other books on calculus that I have seen recently. Everything is concise and there is no extra "fluff". Some may wonder about some seemengly strange orderings in the book such as introducing the differential before introducing limits but this serves to help create an intuitive understanding of limits before explaining their mathematical meaning. Otherwise, the problems range from extremely simple to challenging. All of the problems are reachable by just having read the previous section and are not out of the reach of a careful reader. Most of the problems have solutions and / or hints at the back of the book. The book's title includes the word "applications" and the book indeed does contain them. After each chapter on a new topic, the following chapter contains applications. In addition, the last two chapters on differential equations and multi variable calculus are better than in most introductory books. Essential Calculus is suited for class study or for self study and should be accessable to all with high school mathematics under their belt.

21 of 22 people found the following review helpful:

5.0 out of 5 stars The best calculus book I have ever seen!, November 30, 2000

By 

"owenln" (FLUSHING, NEW YORK United States) - See all my reviews

This review is from: Essential Calculus with Applications (Dover Books on Mathematics) (Paperback)

It is awesome that I can find most of the important calculus theorems and their proofs in only 250 pages. The author really shows all the proof clearly. This book is much better than the calculus book that I am using in my class. It is definitely worth more than 10 bucks!