By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook supplies an intensive exposition of multivariable calculus. The emphasis is on correlating common techniques and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the publication contains real analogues of uncomplicated leads to one-variable calculus, akin to the suggest price theorem and the elemental theorem of calculus.
This ebook is unusual from others at the topic: it examines themes now not generally coated, corresponding 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 fallacious double integrals. each one bankruptcy includes precise proofs of correct effects, besides various examples and a large number of workouts of various levels of hassle, making the booklet valuable to undergraduate and graduate scholars alike.
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Extra info for A Course in Multivariable Calculus and Analysis (Undergraduate Texts in Mathematics)
A Course in Multivariable Calculus and Analysis (Undergraduate Texts in Mathematics) by Sudhir R. Ghorpade,Balmohan V. Limaye