Introduction to Modern Analysis (Oxford Graduate Texts in Mathematics) (Paperback)
Shmuel Kantorovitz
- 出版商: Oxford University
- 出版日期: 2006-07-01
- 售價: $1,180
- 貴賓價: 9.8 折 $1,156
- 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
Preface1. Measures2. Construction of measures3. Measure and topology4. Continuous linear functionals5. Duality6. Bounded operators7. Banach algebras8. Hilbert spaces9. Integral representation10. Unbounded operatorsApplication I:ProbabilityApplication II: DistributionsBibliographyIndex
