## Advanced Calculus of Several Variables (Dover Books on Mathematics)

In this high-level therapy, the writer presents a contemporary conceptual method of multivariable calculus, emphasizing the interaction of geometry and research through linear algebra and the approximation of nonlinear mappings through linear ones. while, the booklet provides equivalent awareness to the classical functions and computational equipment liable for a lot of the curiosity and significance of this subject.

Beginning with a dialogue of Euclidean area and linear mappings, Professor Edwards (University of Georgia) follows with an intensive and unique exposition of multivariable differential and imperative calculus. one of the themes lined are the fundamentals of single-variable differential calculus generalized to raised dimensions, using approximation ways to deal with the elemental life theorems of multivariable calculus, iterated integrals and alter of variable, fallacious a number of integrals and a accomplished dialogue, from the point of view of differential kinds, of the classical fabric linked to line and floor integrals, Stokes' theorem, and vector research. the writer closes with a latest remedy of a few venerable difficulties of the calculus of variations.

Intended for college students who've accomplished a typical introductory calculus series, the ebook comprises many hundreds and hundreds of conscientiously selected examples, difficulties, and figures. certainly, the writer has dedicated loads of recognition to the 430 difficulties, customarily concrete computational ones, that might gift scholars who resolve them with a wealthy intuitive and conceptual clutch of the material.