Course multivariable calculus analysis (8 Ergebnisse)
Sprache: Englisch
Verlag: Springer, 2012
Serie: Undergraduate Texts in Mathematics, Buch 38 von 170. Buch 38 von 170 - Undergraduate Texts in Mathematics
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Sprache: Englisch
Verlag: Springer, 2012
Serie: Undergraduate Texts in Mathematics, Buch 38 von 170. Buch 38 von 170 - Undergraduate Texts in Mathematics
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Sprache: Englisch
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Serie: Undergraduate Texts in Mathematics, Buch 38 von 170. Buch 38 von 170 - Undergraduate Texts in Mathematics
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Zustand: New. pp. 488 79 Illus. (76 Col.).
Sprache: Englisch
Verlag: Springer Verlag, 2012
Serie: Undergraduate Texts in Mathematics, Buch 38 von 170. Buch 38 von 170 - Undergraduate Texts in Mathematics
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Paperback. Zustand: Brand New. 475 pages. 9.00x6.25x1.00 inches. In Stock.
Sprache: Englisch
Verlag: Springer New York, Springer US, 2012
Serie: Undergraduate Texts in Mathematics, Buch 38 von 170. Buch 38 von 170 - Undergraduate Texts in Mathematics
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This self-contained textbook gives a thorough exposition of multivariable calculus. It can be viewed as a sequel to the one-variable calculus text,A Course in Calculus and Real Analysis, published in the same series. The emphasis is on correlating ge…neral concepts and results of multivariable calculus with their counterparts in one-variable calculus. For example, when the general definition of the volume of a solid is given using triple integrals, the authors explain why the shell and washer methods of one-variable calculus for computing the volume of a solid of revolution must give the same answer. Further, the book includes genuine analogues of basic results in one-variable calculus, such as the mean value theorem and the fundamental theorem of calculus.This book is distinguished from others on the subject: it examines topics not typically covered, such as monotonicity, bimonotonicity, and convexity, together with their relation to partial differentiation, cubature rules for approximate evaluation of double integrals, and conditional as well as unconditional convergence of double series and improper double integrals. Moreover, the emphasis is on a geometric approach to such basic notions as local extremum and saddle point.Each chapter contains detailed proofs of relevant results, along with numerous examples and a wide collection of exercises of varying degrees of difficulty, making the book useful to undergraduate and graduate students alike. There is also an informative section of 'Notes and Comments'' indicating some novel features of the treatment of topics in that chapter as well as references to relevant literature. The only prerequisite for this text is a course in one-variable calculus.
Weitere BilderSprache: Englisch
Verlag: Springer, 2012
Serie: Undergraduate Texts in Mathematics, Buch 38 von 170. Buch 38 von 170 - Undergraduate Texts in Mathematics
- Softcover
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Taschenbuch. Zustand: Neu. A Course in Multivariable Calculus and Analysis | Sudhir R. Ghorpade (u. a.) | Taschenbuch | xii | Englisch | 2012 | Springer | EAN 9781461425212 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Verlag: Springer, 2009
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Hardback. Zustand: Very Good. No Jacket. Circa 2009. Very good condition with no wrapper. This self-contained textbook gives a thorough exposition of multivariable calculus. Blue and yellow glazed boards. Spine lightly faded. Title page is MISSING. Contents clean. Packaged with care and promptly dispatched.
Sprache: Englisch
Verlag: Springer, Springer, 2009
Serie: Undergraduate Texts in Mathematics, Buch 38 von 170. Buch 38 von 170 - Undergraduate Texts in Mathematics
- Hardcover
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This self-contained textbook gives a thorough exposition of multivariable calculus. It can be viewed as a sequel to the one-variable calculus text,A Course in Calculus and Real Analysis, published in the same series. The emphasis is on correlating general c…oncepts and results of multivariable calculus with their counterparts in one-variable calculus. For example, when the general definition of the volume of a solid is given using triple integrals, the authors explain why the shell and washer methods of one-variable calculus for computing the volume of a solid of revolution must give the same answer. Further, the book includes genuine analogues of basic results in one-variable calculus, such as the mean value theorem and the fundamental theorem of calculus.This book is distinguished from others on the subject: it examines topics not typically covered, such as monotonicity, bimonotonicity, and convexity, together with their relation to partial differentiation, cubature rules for approximate evaluation of double integrals, and conditional as well as unconditional convergence of double series and improper double integrals. Moreover, the emphasis is on a geometric approach to such basic notions as local extremum and saddle point.Each chapter contains detailed proofs of relevant results, along with numerous examples and a wide collection of exercises of varying degrees of difficulty, making the book useful to undergraduate and graduate students alike. There is also an informative section of 'Notes and Comments'' indicating some novel features of the treatment of topics in that chapter as well as references to relevant literature. The only prerequisite for this text is a course in one-variable calculus.
