Analysis in Euclidean Space

Product Number: EB00796540
Released: Dec 04, 2019
Business Term: Purchase
ISBN: #9780486135847
Publisher: Dover Publications
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Description

Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings concludes the text, addressing implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a bibliography, list of symbols, index, and appendix with background in elementary set theory

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Author(s): Kenneth Hoffman
Genre: Science
Original Publish Date: Dec 19, 2012

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eBook
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Author(s): Kenneth Hoffman
Genre: Science
Product Number EB00798934
Released: Dec 09, 2019
Business Term: Purchase
Publisher: Dover Publications
ISBN: #9780486841410

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