By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook supplies an intensive exposition of multivariable calculus. The emphasis is on correlating common techniques and result of multivariable calculus with their opposite numbers in one-variable calculus. additional, the ebook contains real analogues of easy ends up in one-variable calculus, resembling the suggest worth theorem and the elemental theorem of calculus.
This e-book is special from others at the topic: it examines themes now not in general lined, resembling monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature principles for approximate review of double integrals, and conditional in addition to unconditional convergence of double sequence and flawed double integrals. each one bankruptcy comprises specific proofs of appropriate effects, in addition to quite a few examples and a large selection of routines of various levels of trouble, making the e-book worthy 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