Analysis in Euclidean Space - Brossura

Hoffman, Kenneth

Brossura

ISBN 10: 0486458040 ISBN 13: 9780486458045

Casa editrice: Dover Pubns, 2007

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

Su questo libro

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.

Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2007
• ISBN 10: 0486458040
• ISBN 13: 9780486458045
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 432
• Contatto del produttore: non disponibile