By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook provides an intensive exposition of multivariable calculus. The emphasis is on correlating basic options and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the booklet comprises real analogues of easy ends up in one-variable calculus, comparable to the suggest worth theorem and the elemental theorem of calculus.
This booklet is exclusive from others at the topic: it examines issues now not usually lined, 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 comprises designated proofs of suitable effects, in addition to a number of examples and a large choice of routines of various levels of hassle, making the ebook worthwhile 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