By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook supplies an intensive exposition of multivariable calculus. The emphasis is on correlating common innovations and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the publication contains actual analogues of easy leads to one-variable calculus, akin to the suggest worth theorem and the basic theorem of calculus.
This e-book is exotic from others at the topic: it examines issues now not ordinarily 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 incorrect double integrals. each one bankruptcy includes distinct proofs of proper effects, besides a variety of examples and a large selection of routines of various levels of trouble, making the ebook worthwhile to undergraduate and graduate scholars alike.
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Extra 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