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

By Sudhir R. Ghorpade,Balmohan V. Limaye

This self-contained textbook offers a radical exposition of multivariable calculus. The emphasis is on correlating normal thoughts and result of multivariable calculus with their opposite numbers in one-variable calculus. additional, the ebook comprises actual analogues of uncomplicated leads to one-variable calculus, corresponding to the suggest price theorem and the elemental theorem of calculus.

This e-book is extraordinary from others at the topic: it examines issues no longer ordinarily lined, similar to 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 wrong double integrals. every one bankruptcy comprises particular proofs of correct effects, in addition to quite a few examples and a large selection of routines of various levels of trouble, making the booklet worthy to undergraduate and graduate scholars alike.

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