Zur Startseite gehen
0,00 €*
Cover: 9780387952246 | Beginning Functional Analysis | Karen Saxe | Buch | XI | Englisch
Dekorationsartikel gehören nicht zum Leistungsumfang.
Beginning Functional Analysis
Buch von Karen Saxe
Sprache: Englisch

74,89 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
This book is designed as a text for a first course on functional analysis for ad­ vanced undergraduates or for beginning graduate students. It can be used in the undergraduate curriculum for an honors seminar, or for a "capstone" course. It can also be used for self-study or independent study. The course prerequisites are few, but a certain degree of mathematical sophistication is required. A reader must have had the equivalent of a first real analysis course, as might be taught using [25] or [109], and a first linear algebra course. Knowledge of the Lebesgue integral is not a prerequisite. Throughout the book we use elementary facts about the complex numbers; these are gathered in Appendix A. In one spe­ cific place (Section 5.3) we require a few properties of analytic functions. These are usually taught in the first half of an undergraduate complex analysis course. Because we want this book to be accessible to students who have not taken a course on complex function theory, a complete description of the needed results is given. However, we do not prove these results.
This book is designed as a text for a first course on functional analysis for ad­ vanced undergraduates or for beginning graduate students. It can be used in the undergraduate curriculum for an honors seminar, or for a "capstone" course. It can also be used for self-study or independent study. The course prerequisites are few, but a certain degree of mathematical sophistication is required. A reader must have had the equivalent of a first real analysis course, as might be taught using [25] or [109], and a first linear algebra course. Knowledge of the Lebesgue integral is not a prerequisite. Throughout the book we use elementary facts about the complex numbers; these are gathered in Appendix A. In one spe­ cific place (Section 5.3) we require a few properties of analytic functions. These are usually taught in the first half of an undergraduate complex analysis course. Because we want this book to be accessible to students who have not taken a course on complex function theory, a complete description of the needed results is given. However, we do not prove these results.
Zusammenfassung
The unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators as linear transformations on these spaces. It has been the author's goal to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed first courses in linear algebra and real analysis, and to develop the topics in their historical context.
Inhaltsverzeichnis
Introduction: To the Student.- 1 Metric Spaces, Normed Spaces, Inner Product Spaces.- 2 The Topology of Metric Spaces.- 3 Measure and Integration.- 4 Fourier Analysis in Hilbert Space.- 5 An Introduction to Abstract Linear Operator Theory.- 6 Further Topics.- A Complex Numbers.- Exercises for Appendix A.- B Basic Set Theory.- Exercises for Appendix B.- References.
Details
Erscheinungsjahr: 2001
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: xi
197 S.
13 s/w Illustr.
1 s/w Foto
13 s/w Zeichng.
ISBN-13: 9780387952246
ISBN-10: 0387952241
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Saxe, Karen
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 241 x 160 x 17 mm
Von/Mit: Karen Saxe
Erscheinungsdatum: 07.12.2001
Gewicht: 0,494 kg
Artikel-ID: 104778050
Zusammenfassung
The unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators as linear transformations on these spaces. It has been the author's goal to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed first courses in linear algebra and real analysis, and to develop the topics in their historical context.
Inhaltsverzeichnis
Introduction: To the Student.- 1 Metric Spaces, Normed Spaces, Inner Product Spaces.- 2 The Topology of Metric Spaces.- 3 Measure and Integration.- 4 Fourier Analysis in Hilbert Space.- 5 An Introduction to Abstract Linear Operator Theory.- 6 Further Topics.- A Complex Numbers.- Exercises for Appendix A.- B Basic Set Theory.- Exercises for Appendix B.- References.
Details
Erscheinungsjahr: 2001
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: xi
197 S.
13 s/w Illustr.
1 s/w Foto
13 s/w Zeichng.
ISBN-13: 9780387952246
ISBN-10: 0387952241
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Saxe, Karen
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 241 x 160 x 17 mm
Von/Mit: Karen Saxe
Erscheinungsdatum: 07.12.2001
Gewicht: 0,494 kg
Artikel-ID: 104778050
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9783540056348 | Kategorien | Begriffssprache und mathematische Theorie | S. Maclane
Kategorien
Begriffssprache und mathematische Theorie
EAN: 9783540056348
Sprache: Deutsch
Von/Mit: S. Maclane

59,99 €*

Lieferzeit 2-4 Werktage

Buch
Cover: 9783110167191 | Measure and Integration Theory | Heinz Bauer | Buch | XVI | Englisch
Measure and Integration Theory
EAN: 9783110167191
Sprache: Englisch
Von/Mit: Heinz Bauer

97,35 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9781441927095 | Introduction to Nonparametric Estimation | Alexandre B. Tsybakov
Introduction to Nonparametric Estimation
EAN: 9781441927095
Sprache: Englisch
Von/Mit: Alexandre B. Tsybakov

117,69 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781107499027 | The Homotopy Theory of (¿,1)-Categories | Julia E. Bergner | Buch
The Homotopy Theory of (¿,1)-Categories
EAN: 9781107499027
Sprache: Englisch
Von/Mit: Julia E. Bergner

45,70 €*

Aktuell nicht verfügbar

Buch
Cover: 9783030823306 | Mathematical Control Theory for Stochastic Partial Differential...
Mathematical Control Theory for Stochastic Partial Differential Equations
EAN: 9783030823306
Sprache: Englisch
Von/Mit: Xu Zhang (u. a.)

171,19 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9789811252488 | How To Cheat with Statistics - And Get Away with It: From Data...
How To Cheat with Statistics - And Get Away with It: From Data Snooping Over Kitchen Sink Regression To "Creative...
EAN: 9789811252488
Sprache: Englisch
Von/Mit: Gunter Meissner

23,30 €*

Lieferzeit 1-2 Werktage

Buch
Cover: 9780691181615 | Data Visualization | A Practical Introduction | Kieran Healy | Buch
Data Visualization
A Practical Introduction
EAN: 9780691181615
Sprache: Englisch
Von/Mit: Kieran Healy

107,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9781473913653 | Complete Data Analysis Using R | Marco Lehmann | Taschenbuch | 2022
Complete Data Analysis Using R
Your Applied Manual
EAN: 9781473913653
Sprache: Englisch
Von/Mit: Marco Lehmann

64,55 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9783849666927 | Zahlentrainer, 4. Klasse: Multiplikation, Division, Zahlenraum 1 -...
Zahlentrainer, 4. Klasse: Multiplikation, Division, Zahlenraum 1 - 100000
EAN: 9783849666927
Sprache: Deutsch
Von/Mit: Jürgen Beck
Maße: 297 x 210 x 7 mm

7,99 €*

Lieferzeit 4-7 Werktage

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...