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Calculus: Concepts and Methods, by Ken Binmore, Joan Davies
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This second edition of a text for a course on calculus of functions of several variables begins with basics of matrices and vectors and a chapter recalling the important points of the theory in one dimension. It then introduces partial derivatives via functions of two variables and then extends the discussion to more than two variables. This pattern is repeated throughout the book, with two variables being used as a springboard for the more general case. The book distinguishes itself from the competition with its introduction of elementary difference equations, including the use of the difference operator, as well as differential equations and complex numbers. It overcomes the difficulty of visualizing curves and surfaces from equations with the use of many computer graphics in full color, and it contains more than 250 exercises. With applications to economics and an emphasis on practical problem-solving in the sciences rather than the proof of formal theorems, this text should provide excellent motivation to students.
- Sales Rank: #659172 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2001
- Original language: English
- Number of items: 1
- Dimensions: 9.69" h x 1.14" w x 7.44" l, 2.78 pounds
- Binding: Paperback
- 567 pages
- Used Book in Good Condition
Review
"This beautifully written book reminds me of the first time I fell in love with calculus. ...The text is clear and readable; and the book has a good balance among theory, exercises, and applications in economics and science. ...It is an excellent resource for any calculus teacher." Mathematics Teacher
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Most helpful customer reviews
5 of 8 people found the following review helpful.
excellent book
By FLORA
excellent book I used it very easy to follow easy access and will help you if you have some problems with calculus
25 of 26 people found the following review helpful.
An outstanding book
By Nicholas Warren
This book would also be of considerable value to physicists and engineers, although the primary audience is probably economists. The approach is a thoroughly modern one of using a linear algebra approach to calculus.
The book makes no pretence about avoiding the formal definition-theorem-proof approach appropriate to a mathematician. It is not intended to be a rigorous approach. Instead, it focuses on geometric intuition and the "whys" as well as the "hows." The many excellent multi-colo(u)r diagrams are extremely helpful in explaining concepts. Although the book says that prerequisites are basic familiarity with single-variable calculus and linear algebra, the review sections on those topics are thorough enough to learn from, as long as the reader is not completely unfamiliar, by working through the carefully constructed exercises. In fact, the first chapter is, in of itself, an excellent primer on linear algebra.
My hope, for the next edition, is that the authors, having beautifully developed the vector calculus of Grad, might extend the development to Div and Curl (along the intuitive lines of Schey - Div, Grad, Curl and All That) to make the book even more appropriate to physicists/engineers.
If you want a crystal-clear exposition of multi-variable calculus, while learning linear algebra at the same time, this is THE book (and there is nothing else like it that I have seen out there). The book is wonderfully laid out, attractive to work through, and the examples and problem sets are first rate. I hesitate to say it, but I believe you will actually really enjoy the topic, whatever your previous misgivings about calculus may have been. If that is true, you will learn a tremendous amount from this book.
Bravo, the authors!
6 of 10 people found the following review helpful.
very good
By Barrier Options
sophisticatedly simple and effective. very good book for calculus 101, coupled with lang and you are done
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