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

By Sudhir R. Ghorpade,Balmohan V. Limaye

This self-contained textbook provides a radical exposition of multivariable calculus. The emphasis is on correlating basic thoughts and result of multivariable calculus with their opposite numbers in one-variable calculus. additional, the publication comprises actual analogues of uncomplicated ends up in one-variable calculus, similar to the suggest price theorem and the elemental theorem of calculus.

This e-book is exceptional from others at the topic: it examines subject matters no longer commonly coated, similar to monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature ideas for approximate overview of double integrals, and conditional in addition to unconditional convergence of double sequence and mistaken double integrals. every one bankruptcy comprises specific proofs of appropriate effects, in addition to a variety of examples and a large number of routines of various levels of trouble, making the ebook beneficial to undergraduate and graduate scholars alike.

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