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Synopsis
Examines linear structures, the topology of metric spaces, and continuity in infinite dimensions, with detailed coverage at the graduate level Includes applications to geometry and differential equations, numerous beautiful illustrations, examples, exercises, historical notes, and comprehensive index May be used in graduate seminars and courses or as a reference text by mathematicians, physicists, and engineers
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From the Back Cover
This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces.
The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators.
Mathematical Analysis: Linear and Metric Structures and Continuity motivates the study of linear and metric structures with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering.
Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, and Mathematical Analysis: Approximation and Discrete Processes. This book builds upon the discussion in these books to provide the reader with a strong foundation in modern-day analysis.
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- PublisherBirkhäuser
- Publication date2007
- ISBN 10 0817643753
- ISBN 13 9780817643751
- BindingPaperback
- LanguageEnglish
- Number of pages486
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Mathematical analysis. linear and metric structures and continuity.
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Boston [u.a.], Birkhäuser., 2007
ISBN 10: 0817643753
ISBN 13: 9780817643751
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Mathematical Analysis: Linear And Metric Structures And Continuity
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Birkh�user Boston 2007-09-04, 2007
ISBN 10: 0817643753
ISBN 13: 9780817643751
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