By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook offers a radical exposition of multivariable calculus. The emphasis is on correlating common innovations and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the ebook contains real analogues of uncomplicated leads to one-variable calculus, comparable to the suggest price theorem and the elemental theorem of calculus.
This booklet is extraordinary from others at the topic: it examines themes now not commonly coated, corresponding to monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature ideas for approximate evaluate of double integrals, and conditional in addition to unconditional convergence of double sequence and mistaken double integrals. every one bankruptcy includes special proofs of appropriate effects, besides a variety of examples and a large number of workouts of various levels of trouble, making the e-book worthwhile 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