By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook provides a radical exposition of multivariable calculus. The emphasis is on correlating normal recommendations and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the booklet comprises real analogues of easy leads to one-variable calculus, corresponding to the suggest price theorem and the basic theorem of calculus.
This e-book is exceptional from others at the topic: it examines themes now not generally lined, comparable to 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 mistaken double integrals. every one bankruptcy includes specific proofs of correct effects, besides a variety of examples and a large choice of routines of various levels of hassle, making the ebook precious to undergraduate and graduate scholars alike.
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This self-contained textbook supplies a radical exposition of multivariable calculus. The emphasis is on correlating common strategies and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the booklet contains actual analogues of easy leads to one-variable calculus, akin to the suggest price theorem and the basic theorem of calculus.
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Additional 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