By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook provides an intensive exposition of multivariable calculus. The emphasis is on correlating normal options and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the e-book comprises actual analogues of easy ends up in one-variable calculus, comparable to the suggest price theorem and the elemental theorem of calculus.
This publication is exotic from others at the topic: it examines themes no longer quite often lined, akin 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 includes distinct proofs of suitable effects, besides a variety 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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Additional resources 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