By Sudhir R. Ghorpade,Balmohan V. Limaye
This self-contained textbook offers an intensive exposition of multivariable calculus. The emphasis is on correlating normal innovations and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the e-book comprises real analogues of uncomplicated ends up in one-variable calculus, akin to the suggest price theorem and the basic theorem of calculus.
This booklet is unique from others at the topic: it examines issues no longer generally lined, reminiscent of monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature principles for approximate evaluate of double integrals, and conditional in addition to unconditional convergence of double sequence and wrong double integrals. every one bankruptcy includes certain proofs of proper effects, besides quite a few examples and a large selection of workouts of various levels of hassle, making the publication necessary 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