By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook offers an intensive exposition of multivariable calculus. The emphasis is on correlating common strategies and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the ebook comprises real analogues of simple leads to one-variable calculus, corresponding to the suggest worth theorem and the elemental theorem of calculus.
This booklet is uncommon from others at the topic: it examines subject matters no longer in most cases lined, reminiscent of 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 flawed double integrals. each one bankruptcy includes distinctive proofs of correct effects, besides a number of examples and a large choice of routines of various levels of hassle, making the booklet necessary 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