Introduction to Modern Analysis (Oxford Graduate Texts in Mathematics) (Paperback)

Shmuel Kantorovitz

  • 出版商: Oxford University Press
  • 出版日期: 2006-08-24
  • 售價: $1,180
  • 貴賓價: 9.5$1,121
  • 語言: 英文
  • 頁數: 448
  • 裝訂: Paperback
  • ISBN: 0199203156
  • ISBN-13: 9780199203154

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Description

This text is based on lectures given by the author at the advanced undergaraduate and graduate levels in Measure theory, Functional Analysis, Bannach Algebras, Spectral Theory (of bounded and unbounded operators), Semigroups of Operators, Probability and Mathematical Statistics, and Partial Differential Equations. The first 10 chapters discuss theoretical methods in Measure Theory and Functional Analysis and contain over 120 end of chapter exercises. the final two chapters apply theory to applications in Probability Theory and Partial Differential Equations.

 

 

Table of Contents

Preface
1. Measures
2. Construction of measures
3. Measure and topology
4. Continuous linear functionals
5. Duality
6. Bounded operators
7. Banach algebras
8. Hilbert spaces
9. Integral representation
10. Unbounded operators
Application I:Probability
Application II: Distributions
Bibliography
Index