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Introduction to Modern Analysis

New. Sprache: Englisch.
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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... weiterlesen
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Produktdetails
Titel: Introduction to Modern Analysis
Autor/en: Shmuel Kantorovitz

ISBN: 0198526563
EAN: 9780198526568
New.
Sprache: Englisch.
OXFORD UNIV PR

Februar 2003 - gebunden - 448 Seiten

Beschreibung

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.

Inhaltsverzeichnis

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. Intergral Representation; 10. Unbounded Operators; Application I:Probability; Application II: Distributions; Bibliography; Index

Pressestimmen

The book can be viewed as a multi-purpose text for advanced undergraduate and graduate students, and can be recommended for mathematical libraries. EMS The author offers a refreshingly unorthodox and lucid version of "modern analysis" ... All in all, this book is a valuable and pleasant contribution to the wide field of "modern analysis". MathSolNet (Mathematical Reviews on the Web) ... offers a refreshingly unorthodox and lucid version of "modern analysis" ... a valuable and pleasant contribution to the wide field of "modern analysis". MathSolNet (Mathematical Reviews on the Web) ... will be useful for advanced undergraduate and graduate students in mathematics. Zentralblatt Math

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