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Synopsis
The purpose of this book is to give a systematic development of differential and integral calculus for functions of several variables. The traditional topics from advanced calculus are included: maxima and minima, chain rule, implicit function theorem, multiple integrals, divergence and Stokes's theorems, and so on. However, the treatment differs in several important respects from the traditional one. Vector notation is used throughout, and the distinction is maintained between n-dimensional euclidean space En and its dual. The elements of the Lebesgue theory of integrals are given. In place of the traditional vector analysis in £3, we introduce exterior algebra and the calculus of exterior differential forms. The formulas of vector analysis then become special cases of formulas about differential forms and integrals over manifolds lying in P. The book is suitable for a one-year course at the advanced undergraduate level. By omitting certain chapters, a one semester course can be based on it. For instance, if the students already have a good knowledge of partial differentiation and the elementary topology of P, then substantial parts of Chapters 4, 5, 7, and 8 can be covered in a semester. Some knowledge of linear algebra is presumed. However, results from linear algebra are reviewed as needed (in some cases without proof). A number of changes have been made in the first edition. Many of these were suggested by classroom experience. A new Chapter 2 on elementary topology has been added.
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- PublisherSpringer
- Publication date1977
- ISBN 10 0387902066
- ISBN 13 9780387902067
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages424
- Rating
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International Edition
Functions of Several Variables, 2nd
Published by
Springer, New York, NY, 1987
ISBN 10: 0387902066
ISBN 13: 9780387902067
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Trade paperback. Condition: New in new dust jacket. 2nd ed. INTERNATIONAL EDITION. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Sewn binding. Cloth over boards. 411 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics. Audience: General/trade. Seller Inventory # K5090000747
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International Edition
Functions of Several Variables, 2nd edition
Published by
Secaucus, New Jersey, U.S.A.: Springer Verlag, 1997
ISBN 10: 0387902066
ISBN 13: 9780387902067
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Soft cover. Condition: New. Dust Jacket Condition: New. International Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-8023597701
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Functions of Several Variables (Undergraduate Texts in Mathematics)
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Functions of Several Variables (Undergraduate Texts in Mathematics)
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Functions of Several Variables (Undergraduate Texts in Mathematics)
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Functions of Several Variables
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Condition: Very Good. First printing of the 2nd edition, 412 pp., hardcover, previous owner's name and age-toning to page edges else text clean & binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1325843
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Functions of Several Variables (Undergraduate Texts in Mathematics)
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