By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook supplies a radical exposition of multivariable calculus. The emphasis is on correlating common thoughts and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the booklet contains real analogues of uncomplicated leads to one-variable calculus, reminiscent of the suggest price theorem and the elemental theorem of calculus.
This booklet is unique from others at the topic: it examines issues no longer quite often coated, corresponding to monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature principles for approximate overview of double integrals, and conditional in addition to unconditional convergence of double sequence and flawed double integrals. every one bankruptcy comprises distinct proofs of correct effects, in addition to quite a few examples and a large choice of routines of various levels of trouble, making the ebook 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