Sudhir R. Ghorpade,Balmohan V. Limaye's A Course in Multivariable Calculus and Analysis PDF

By Sudhir R. Ghorpade,Balmohan V. Limaye

ISBN-10: 1441916202

ISBN-13: 9781441916204

ISBN-10: 1461425212

ISBN-13: 9781461425212

This self-contained textbook supplies a radical exposition of multivariable calculus. The emphasis is on correlating common recommendations and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the ebook comprises real analogues of easy ends up in one-variable calculus, equivalent to the suggest price theorem and the basic theorem of calculus.

This booklet is exceptional from others at the topic: it examines issues no longer generally coated, resembling monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature principles for approximate review of double integrals, and conditional in addition to unconditional convergence of double sequence and incorrect double integrals. every one bankruptcy comprises special proofs of correct effects, besides various examples and a large selection of workouts of various levels of trouble, making the booklet invaluable to undergraduate and graduate scholars alike.

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A Course in Multivariable Calculus and Analysis (Undergraduate Texts in Mathematics) by Sudhir R. Ghorpade,Balmohan V. Limaye

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