Kenneth Hoffman Analysis in Euclidean Space

ISBN 13: 9780130326560

Analysis in Euclidean Space

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9780130326560: Analysis in Euclidean Space
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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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Other Popular Editions of the Same Title

9780486458045: Analysis in Euclidean Space (Dover Books on Mathematics)

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ISBN 10:  0486458040 ISBN 13:  9780486458045
Publisher: Dover Publications, 2007
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Hoffman, Kenneth
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