Analysis in Euclidean Space by Kenneth Hoffman

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

SKU	Unavailable
ISBN 13	9780486833651
ISBN 10	0486833658
Title	Analysis in Euclidean Space
Author	Kenneth Hoffman
Series	Dover Books On Mathematics Ser
Condition	Unavailable
Binding Type	Paperback
Publisher	Dover Publications Inc.
Year published	2019-09-30
Number of pages	448
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.