Synopsis
Multivariable Calculus presents readers with the core concepts of multivariable calculus. Reform ideas, traditional ideas, and original ideas are combined in this book, designed to teach concepts and computations. Covers vectors and curves, functions and differentiation, integration, vector fields, line integrals, surface integrals, theorems of Green, Gauss, and Stokes, and much more. For readers interested in multivariable and vector calculus.
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Origins, points of view
This book grew out of lecture notes written by one of us (CRC) during a sabbatical year in 1992-93. Subsequently, the lecture notes were the multivariable calculus text of the Department of Mathematics at the University of Washington Seattle, Wash., for several years. Thus, most of the book's material has been class-tested by different instructors over an extended period.
The book embodies distinct views on what should be taught in a standard multivariable/vector calculus courser and how it should be taught. The thrust of our views, as tempered by classroom experience and input from colleagues, may be summarized as follows.
* We emphasize geometric interpretations and geometric reasoning in 3-space. Such an emphasis is appropriate for various reasons. For one, much of the multivariable calculus in question reflects the physics of basic phenomena taking place in 3-space. Then, 3-space with its points, lines, planes, surfaces, and solids, is, after all, the stage of our everyday material lives. In short, working with these geometric objects and their analytic representations constitutes an authentic application of multivariable calculus.
* If it comes down to it, the substance of a course is defined by what we ask students to do themselves, by the mathematical activities we expect them to become able to perform on their own. In this vein, we have given much thought to the exercises. In addition to standard exercises, we present some that are different in form, content, and also location within the exposition of the material.
Our views surface at times as novel features, with the result that the book is a traditional text with some nontraditional traits.
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Multivariable Calculus: A Geometric Approach
Seller: A Squared Books (Don Dewhirst), South Lyon, MI, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: As New. 2001; Upper Saddle River; black illustrated glossy paper covers with yellow titles; spiral spine; minimal rubbing on covers; interior is clean and unmarked; 4to, 9 3/4" to 12" tall; 456 pages. Seller Inventory # SKU1144126