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Cover: 9783319915111 | Functional Analysis | An Introductory Course | Sergei Ovchinnikov
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Functional Analysis
An Introductory Course
Taschenbuch von Sergei Ovchinnikov
Sprache: Englisch

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Beschreibung
This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each chapter provide ample opportunities for practice with the material. Proofs of theorems such as the Uniform Boundedness Theorem, the Open Mapping Theorem, and the Closed Graph Theorem are worked through step-by-step, providing an accessible avenue to understanding these important results. The prerequisites for this book are linear algebra and elementary real analysis, with two introductory chapters providing an overview of material necessary for the subsequent text.
Functional Analysis offers an elementary approach ideal for the upper-undergraduate or beginning graduate student. Primarily intended for a one-semester introductory course, this text is also a perfect resource for independent study or as the basis for a reading course.
This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each chapter provide ample opportunities for practice with the material. Proofs of theorems such as the Uniform Boundedness Theorem, the Open Mapping Theorem, and the Closed Graph Theorem are worked through step-by-step, providing an accessible avenue to understanding these important results. The prerequisites for this book are linear algebra and elementary real analysis, with two introductory chapters providing an overview of material necessary for the subsequent text.
Functional Analysis offers an elementary approach ideal for the upper-undergraduate or beginning graduate student. Primarily intended for a one-semester introductory course, this text is also a perfect resource for independent study or as the basis for a reading course.
Über den Autor
Sergei Ovchinnikov is Professor Emeritus of Mathematics at San Francisco State University. His other Universitext books are Measure, Integral, Derivative: a Course on Lebesgue's Theory (2013) and Graphs and Cubes (2011).
Zusammenfassung

Provides an elementary treatment of the subject that establishes the foundation for further study

Enriches understanding of the theory with numerous examples and counterexamples

Includes many exercises for readers to practice techniques

Dissects proofs of difficult results into small steps to improve understanding

Includes supplementary material: [...]

Inhaltsverzeichnis
Preface.- 1. Preliminaries.- 2. Metric Spaces.- 3. Special Spaces.- 4. Normed Spaces.- 5. Linear Functionals.- 6. Fundamental Theorems.- 7. Hilbert Spaces.- A. Hilbert Spaces L2(J).- References.- Index.
Details
Erscheinungsjahr: 2018
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Universitext
Inhalt: xii
205 S.
13 s/w Illustr.
205 p. 13 illus.
ISBN-13: 9783319915111
ISBN-10: 3319915118
Sprache: Englisch
Herstellernummer: 978-3-319-91511-1
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ovchinnikov, Sergei
Auflage: 1st ed. 2018
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Universitext
Maße: 235 x 155 x 13 mm
Von/Mit: Sergei Ovchinnikov
Erscheinungsdatum: 29.06.2018
Gewicht: 0,341 kg
Artikel-ID: 113454993
Über den Autor
Sergei Ovchinnikov is Professor Emeritus of Mathematics at San Francisco State University. His other Universitext books are Measure, Integral, Derivative: a Course on Lebesgue's Theory (2013) and Graphs and Cubes (2011).
Zusammenfassung

Provides an elementary treatment of the subject that establishes the foundation for further study

Enriches understanding of the theory with numerous examples and counterexamples

Includes many exercises for readers to practice techniques

Dissects proofs of difficult results into small steps to improve understanding

Includes supplementary material: [...]

Inhaltsverzeichnis
Preface.- 1. Preliminaries.- 2. Metric Spaces.- 3. Special Spaces.- 4. Normed Spaces.- 5. Linear Functionals.- 6. Fundamental Theorems.- 7. Hilbert Spaces.- A. Hilbert Spaces L2(J).- References.- Index.
Details
Erscheinungsjahr: 2018
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Universitext
Inhalt: xii
205 S.
13 s/w Illustr.
205 p. 13 illus.
ISBN-13: 9783319915111
ISBN-10: 3319915118
Sprache: Englisch
Herstellernummer: 978-3-319-91511-1
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ovchinnikov, Sergei
Auflage: 1st ed. 2018
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Universitext
Maße: 235 x 155 x 13 mm
Von/Mit: Sergei Ovchinnikov
Erscheinungsdatum: 29.06.2018
Gewicht: 0,341 kg
Artikel-ID: 113454993
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