Analysis in Euclidean Space (Dover Books on Mathematics)

Kenneth Hoffman

ISBN 10: 0486458040 / ISBN 13: 9780486458045

Editore: Dover Publications, 2007

Codice articolo 99J71_18_0486458040

Riassunto:

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 Description: Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. The introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Supplementary material and exercises appear throughout the text. 1975 edition.

Dati bibliografici

Titolo: Analysis in Euclidean Space (Dover Books on ...
Casa editrice: Dover Publications
Data di pubblicazione: 2007
Legatura: Brossura
Condizione: new