Sudhir R. Ghorpade,Balmohan V. Limaye's A Course in Multivariable Calculus and Analysis PDF

By Sudhir R. Ghorpade,Balmohan V. Limaye

This self-contained textbook provides a radical exposition of multivariable calculus. The emphasis is on correlating normal suggestions and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the booklet contains real analogues of simple leads to 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 issues no longer generally coated, reminiscent of monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature principles for approximate evaluate of double integrals, and conditional in addition to unconditional convergence of double sequence and flawed double integrals. each one bankruptcy includes certain proofs of correct effects, besides a number of examples and a large selection of workouts of various levels of hassle, making the publication valuable 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

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