By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook offers an intensive exposition of multivariable calculus. The emphasis is on correlating basic ideas 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 elemental theorem of calculus.
This publication is amazing from others at the topic: it examines issues no longer often coated, corresponding to monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature principles for approximate overview of double integrals, and conditional in addition to unconditional convergence of double sequence and fallacious double integrals. every one bankruptcy includes specified proofs of correct effects, in addition to various examples and a large number of workouts of various levels of trouble, making the booklet beneficial to undergraduate and graduate scholars alike.
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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