Previous Owner Markings; Corners, Spine Bumped; Moderate Shelf Rub to Boards; Edges Moderately Soiled; Slight Yellowing Due to Age. CONTENTS: 0. Remembrance of Things Past; 1. The Algebra of Rn 2. The Geometry of Rn 3. Linear Functions 4. From Linear to Nonlinear 5. Functions f:Rn-R 6. Scalar-Valued Functions and Extrema 7. Curves: Mappings F:R-Rn 8. Vector Functions F:Rn-Rq 9. Integration in Rn 10. Line Integrals and Stokes' Theorem; Answers to Selected Exercises; Index. EXCERPT: Preface - The heart of this book is the study of nonlinear functions by means of the simpler linear and affine functions. Our guide in this is the elementary calculus procedure of constructing the tangent line (a linear object) to a curve (a nonlinear object). Thus, we begin with a study of linear objects. Linear algebra is just this study; it should be viewed as analytic geometry in modern dress. Without it, geometric ideas are lost in a fog of equations. We have developed the linear algebra by first studying the algebra of Rn (ordinary n dimension space), especially R2 and R3, in Chapter 1. Geometry of Rn, the inner product, is the subject of Chapter 2. Then we introduce the concept of a linear map in Chapter 3. And only after some familiarity with linear maps is acquired do we represent them as matrices and interpret the algebraic operations on maps in terms of the corresponding operations on matrices. This concludes the "linear" part of the book. Chapter 4 serves as a bridge from linear to nonlinear. The differential calculus of several variables is taken up in Chapters 5, 6, 7, and 8. One measure of the success of approaching calculus of several variables using linear algebra is that students anticipate ideas and theorems. The criterion f'(X)=0 for a maximum or minimum is but one example. This notation vastly simplifies formulas, enabling the concepts to emerge clearly. Chapter 9 discusses multiple integrals. Instead of pushing the difficult ideas of existence of the integral, we have chosen to show how to estimate numerically the value of the integral. In this way students grasp the concepts and understand that a proof of the existence of the integral can be made to yield as close an approximation as they desire. Some teachers may wish to use computers at this point of the course. Line integrals and Stokes' Theorem are the subject of Chapter 10 . . . This book is intended for the-possibly mythical-"average" student. Two and three dimension cases are emphasized. We have chosen to write in an informal lecture note style with questions directed to the reader . . . Size: 8vo - over 7�" - 9�" tall.

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T�tulo

Calculus Two: Linear and Nonlinear Functions

Editor

Prentice-Hall, Inc., Englewood Cliffs

Encuadernaci�n

Hard Cover

Edici�n

First Edition 1st Printing

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Good

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No Jacket (As Issued)

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Mathematics - Calculus

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For a good portion of the 1990's, our family was interested in the idea of entering the used book business. We are all avid readers, book lovers, and book collectors who cannot pass a bookstore without popping in. Family trips to the library and our local used bookstore were a regularity while growing up. With each of us having interests in different genres (with a little overlapping here and there), we cover a lot of bases. The thought of having a store of our own was appealing, and the hunt was on - both for stock and a location. We thought to combine under one roof many different things that would appeal to readers and book lovers. Not only used books, but some new items as well. Bookmarks (to ward off dog-eared pages), bookends (to keep those out-of-control collections under control), bookplates (to label books on the "Can I borrow that?" circuit to ensure that they always found their way home), book repair tape (to lend a helping hand to collectors with tattered favourites in their collections), and so on. With an interest in book-themed knick knacks as well, we had two sides to our would-be business: books and knick-knacks. Hence the business was born. In the early part of 1998 we bought a commercial property, and in the summer we first opened our doors in a storefront in Uxbridge, Ontario, Canada. With start-up stock consisting of a garage full of books hand-picked for just such a venture that we purchased from someone who changed their plans, we were in business. For several years we operated in this storefront, growing our business and learning about the industry and the backbone of it - the customers. It was very satisfying to be present at the end of someone's book quest, as we were quite often. Many a time we heard shouts of joy from somewhere in the shop as customers happened upon just what they'd been looking for (oftentimes for quite a while). At other times, people would approach us with bits and pieces of information that they remembered from long ago favourites in hopes that we could at least help them come up with an author or title to help in their search, which we often times did, with the book in hand. And when we couldn't come up with anything on our own, we would pick the brains of other customers in conversation, or turn to the internet for help for them. For us, quality and selection of stock go hand-in-hand with customer service. One isn't much good without the other. But times, people, places, and lives change and after several years in our storefront we made a change of our own - in 2004 we relocated to the internet. Now a home-based business in Oshawa, Ontario, Canada, we are gradually bringing our inventory online here. We carry used paperbacks, hardbacks, and magazines for both adults and children. We have thousands upon thousands of books that are not yet listed for sale on the internet, but are gradually making their way there.

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