By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook offers an intensive exposition of multivariable calculus. The emphasis is on correlating basic recommendations and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the booklet contains real analogues of uncomplicated ends up in one-variable calculus, equivalent to the suggest price theorem and the elemental theorem of calculus.
This booklet is amazing from others at the topic: it examines subject matters now not in general lined, similar 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 wrong double integrals. each one bankruptcy comprises precise proofs of suitable effects, in addition to a number of examples and a large number of workouts of various levels of hassle, making the e-book worthy 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