By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook offers an intensive exposition of multivariable calculus. The emphasis is on correlating common suggestions and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the publication contains actual analogues of uncomplicated ends up in one-variable calculus, akin to the suggest price theorem and the basic theorem of calculus.
This ebook is wonderful from others at the topic: it examines issues now not in most cases lined, akin to monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature principles for approximate assessment of double integrals, and conditional in addition to unconditional convergence of double sequence and mistaken double integrals. each one bankruptcy comprises particular proofs of proper effects, besides a number of examples and a large choice of routines of various levels of trouble, making the booklet priceless 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