Overview
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 fur 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. Grolz, review of the first German edition
Full Product Details
Author: Herbert Amann ,
Gary Brookfield ,
Joachim Escher
Publisher: Birkhauser Verlag AG
Imprint: Birkhauser Verlag AG
Edition: 2005 ed.
Dimensions:
Width: 17.00cm
, Height: 2.30cm
, Length: 24.40cm
Weight: 0.768kg
ISBN: 9783764371531
ISBN 10: 3764371536
Pages: 426
Publication Date: 22 November 2004
Audience:
Professional and scholarly
,
Professional & Vocational
Replaced By: 9783764369286
Format: Paperback
Publisher's Status: Active
Availability: In Print
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Reviews
"""It is a wonderful book that distinguishes itself by the clarity of presentation, by the fact that it is self-contained and has many exercises at various degrees of difficulty (among many other great qualities.)...[It] is a very elegant and complete treatment of topics usually not found in analysis books...The exercises are plenty and very well selected. In summary, we have here a very-very good, self-contained, well written book, including many applications and exercises, that can be used as a text for courses, as self-study, and/or as a basis for research in mathematics or even other disciplines. This book is a wonderful read."" ---MAA Reviews"
It is a wonderful book that distinguishes itself by the clarity of presentation, by the fact that it is self-contained and has many exercises at various degrees of difficulty (among many other great qualities.)...[It] is a very elegant and complete treatment of topics usually not found in analysis books...The exercises are plenty and very well selected. In summary, we have here a very-very good, self-contained, well written book, including many applications and exercises, that can be used as a text for courses, as self-study, and/or as a basis for research in mathematics or even other disciplines. This book is a wonderful read. ---MAA Reviews
