Analysis in Euclidean Space

Analysis in Euclidean Space

by Kenneth Hoffman

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Overview

Analysis in Euclidean Space by Kenneth Hoffman


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

Product Details

ISBN-13: 9780486458045
Publisher: Dover Publications
Publication date: 05/11/2007
Series: Dover Books on Mathematics Series
Pages: 448
Product dimensions: 5.30(w) x 8.40(h) x 0.90(d)

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