Analysis I

Herbert Amann, Joachim Escher, Gary Brookfield9783764371531, 3764371536

This book is the first of a three volume introduction to analysis. It is distinguished by its modern and clear presentation, concentrating always on the essential concepts. In contrast to most other textbooks, there is no artificial separation between the theories of one variable and that of many variables. Emphasis is placed on the early development of a solid foundation in topology. As well, the basics of complex analysis are covered. This book is directed primarily to the students and instructors of beginning courses in analysis. But, with the many examples, exercises and the supplementary material, it is also suitable for self-study, as preparation for advanced study, and as a basis for other research in mathematics and physics. “This textbook provides an outstanding introduction to analysis. It is distinguished by its high level of presentation and its focus on the essential.” Zeitschrift f?r Analysis und ihre Anwendung 18, No. 4 (G. Berger, review of the first German edition) “One advantage of this presentation is that the power of the abstract concepts are convincingly demonstrated using concrete applications.” W. Gr?lz, review of the first German edition

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Table of contents :
front-matter……Page 1
ch1……Page 14
ch2……Page 142
ch3……Page 230
ch4……Page 312
ch5……Page 373
back-matter……Page 416