The Analyst’s Gambit: A Second Course in Functional Analysis - Softcover

Shalit, Orr Moshe

Softcover

ISBN 10: 1032286598 ISBN 13: 9781032286594

Verlag: Chapman and Hall/CRC, 2025

Inhaltsangabe

The Analyst’s Gambit: A Second Course in Functional Analysis is a textbook written to serve a graduate course in Functional Analysis. It provides a sequel to the author’s previous volume, A First Course in Functional Analysis, but it is not necessary to have read one in order to make use of the other. As a graduate text, the reader is assumed to have taken undergraduate courses in set theory, calculus, metric spaces and topology, complex analysis, measure theory (or, alternatively, have enough mathematical maturity to carry on without having seen every particular fact that is used).

A particular strength of the book is that it includes numerous applications. Besides being engaging and interesting in their own right, these applications also illustrate how functional analysis is used in other parts of mathematics. The applications to problems from varied fields (PDEs, Fourier series, group theory, neural networks, topology, etc.) constitute an enticing external motivation for studying functional analysis. There are also applications of the material to functional analytic problems (Lomonosov’s invariant subspace theorem, the spectral theorem, Stone’s theorem), showcasing the power of the results as well as the elegance and unity of the theory.

Features

• Can be used as the primary textbook for a graduate course in functional analysis

• Rich variety of exercises

• Emphasis on substantial and modern applications

Orr Moshe Shalit is a professor of mathematics at the Technion Israel Institute of Technology, where he teaches and conducts research in operator theory, operator algebras, functional analysis and function theory. His first book, A First Course in Functional Analysis, was published by Chapman & Hall / CRC in 2017.

Über diesen Titel

Über die Autorin bzw. den Autor

Orr Moshe Shalit is a professor of mathematics at the Technion Israel Institute of Technology, where he teaches and conducts research in operator theory, operator algebras, functional analysis and function theory. His first book, A First Course in Functional Analysis, was published by Chapman & Hall / CRC in 2017.

Details zur Ausgabe

• Verlag: Chapman and Hall/CRC
• Erscheinungsdatum: 2025
• Sprache: Englisch
• ISBN 10: 1032286598
• ISBN 13: 9781032286594
• Einband: Tapa blanda
• Auflage: 1
• Anzahl der Seiten: 266
• Kontakt zum Hersteller: Nicht verfügbar
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