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A Course in Multivariable Calculus and Analysis
ISBN-13:
9781441916211
Veröffentl:
2010
Seiten:
477
Autor:
Sudhir R. Ghorpade
Serie:
Undergraduate Texts in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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 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.
Vectors and Functions.- Sequences, Continuity, and Limits.- Partial and Total Differentiation.- Applications of Partial Differentiation.- Multiple Integration.- Applications and Approximations of Multiple Integrals.- Double Series and Improper Double Integrals.
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