A First Course in Functional Analysis

A First Course in Functional Analysis

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Description

This second edition includes exercises at the end of each chapter, revised bibliographies, references and an index.
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Product details

  • Hardback | 284 pages
  • 152 x 229mm
  • Providence, United States
  • English
  • Revised
  • 2nd Revised edition
  • 1470429691
  • 9781470429690
  • 1,386,714

Table of contents

This text starts on an intermediate level of generality: sufficiently general to convey to the student the flavor of abstract methods in analysis and to cover many important applications, and still down-to-earth to make easy reading for beginners. The tradition founded by Banach, and favorable experiences from many courses, point to metric spaces as a suitable initial subject, and the present book keeps in this tradition ... The authors have selected and presented in a clear and readable way the basic material which is most likely to be used frequently. A wealth of examples, counterexamples, applications and exercises accompany the abstract theory throughout.' - Mathematical Reviews

'An attractive feature of the book is that each major theorem is followed by ... illustrations of its use. There are many well-chosen problems. Some problems ask the reader to apply an abstract idea to a concrete situation and others ask the reader to develop more theory.' - American Mathematical Monthly
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