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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Bibliographic Details

Title

Calculus Two: Linear and Nonlinear Functions

Publisher

Prentice-Hall, Inc., Englewood Cliffs

Binding

Hard Cover

Edition

First Edition 1st Printing

Condition

Good

Dust Jacket Condition

No Jacket (As Issued)

Seller catalogs

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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Past Pages
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We guarantee the condition of every book as it's described on the Abebooks web sites. If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the Ask bookseller a question link to contact us and we'll respond as soon as is possible within 2 business days. Contact Information: usedbookgirl@g...

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INFORMATION REGARDING THE RIGHT OF CANCELLATION

Statutory Right to cancel

You have the right to cancel this contract within 14 days without giving any reason.

The cancellation period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the the last good or the last lot or piece.

To exercise the right to cancel, you must inform us, Past Pages, 1184 Cedar Street, L1J 3S2, Oshawa, Ontario, Canada, 1 905-579-1812, of your decision to cancel this contract by a clear statement (e.g. a letter sent by post, fax or e-mail). You may use the attached model cancellation form, but it is not obligatory. You can also electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". If you use this option, we will communicate to you an acknowledgement of receipt of such a cancellation on a durable medium (e.g. by e-mail) without delay.

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You shall send back the goods or hand them over to us or Past Pages, 1184 Cedar Street, L1J 3S2, Oshawa, Ontario, Canada, 1 905-579-1812, without undue delay and in any event not later than 14 days from the day on which you communicate your cancellation from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.

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