ELEMENTARY FUNCTIONAL ANALYSIS - Hardcover

Swartz, Charles W

Hardcover

ISBN 10: 9814273341 ISBN 13: 9789814273343

Publisher: World Scientific Publishing Company, 2009

Synopsis

This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of general topology or Lebesgue integration is not required. The book explains the principles and applications of functional analysis and explores the development of the basic properties of normed linear, inner product spaces and continuous linear operators defined in these spaces. Though Lebesgue integral is not discussed, the book offers an in-depth knowledge on the numerous applications of the abstract results of functional analysis in differential and integral equations, Banach limits, harmonic analysis, summability and numerical integration. Also covered in the book are versions of the spectral theorem for compact, symmetric operators and continuous, self adjoint operators.

About this title

Review:

There are also a lot of historical comments spread throughout the text, as well as references to further developments and related results. The book is clearly written, with elegant proofs, and can be recommended as a good introductory course for students in mathematics, but also for those in engineering, physics, economics, needing a quick but rigorous presentation of basic results and tools of functional analysis. --Zentralblatt MATH

This book contains many applications of the abstract results of functional analysis to ordinary differential and integral equations, harmonic analysis, summability, etc. It is well written and can serve as a textbook for an introductory course in functional analysis. --Mathematical Reviews

About this edition

• Publisher: World Scientific Publishing Company
• Publication date: 2009
• ISBN 10: 9814273341
• ISBN 13: 9789814273343
• Binding: Hardcover
• Number of pages: 192