Download PDF by Sudhir R. Ghorpade,Balmohan V. Limaye: A Course in Multivariable Calculus and Analysis

By Sudhir R. Ghorpade,Balmohan V. Limaye

This self-contained textbook provides an intensive exposition of multivariable calculus. The emphasis is on correlating normal recommendations and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the e-book contains real analogues of easy leads to one-variable calculus, resembling the suggest worth theorem and the elemental theorem of calculus.

This booklet is distinctive from others at the topic: it examines themes no longer normally coated, comparable to monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature ideas for approximate assessment of double integrals, and conditional in addition to unconditional convergence of double sequence and incorrect double integrals. each one bankruptcy includes distinct proofs of correct effects, besides a variety of examples and a large number of workouts of various levels of trouble, making the ebook beneficial 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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