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Real and Functional Analysis
Taschenbuch von K. Pothoven (u. a.)
Sprache: Englisch

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Beschreibung
This book introduces two most important aspects of modern analysis: the theory of measure and integration and the theory of Banach and Hilbert spaces. It is designed to serve as a text for first-year graduate students who are already familiar with some analysis as given in a book similar to Apostol's Mathematical Analysis. t This book treats in sufficient detail most relevant topics in the area of real and functional analysis that can be included in a book of this nature and size and at the level indicated above. It can serve as a text for a solid one-year course entitled "Measure and Integration Theory" or a com­ prehensive one-year course entitled "Banach Spaces, Hilbert Spaces, and Spectral Theory. " For the latter alternative, the student is, of course, required to have some knowledge of measure and integration theory. The breadth of the book gives the instructor enough flexibility to choose what is best suited for his/her class. Specifically the following alternatives are available: (a) A one-year course on "Measure and Integration" utilizing Chapters 1 (Sections l. l-1. 3 and 1. 6), 2, 3, 4, portions of 5 (information on Lp spaces), and portions of 7 (left to the discretion of the teacher). (b) A one-year course in "Functional Analysis" utilizing Chapters 1 (Sections 1. 4-1. 6), 5, 6, 7 (Sections 7. 4 and 7. 6), and the Ap­ pendix. t T. M. Apostol, Mathematical Analysis, 2nd ed. , Addison-Wesley (1974).
This book introduces two most important aspects of modern analysis: the theory of measure and integration and the theory of Banach and Hilbert spaces. It is designed to serve as a text for first-year graduate students who are already familiar with some analysis as given in a book similar to Apostol's Mathematical Analysis. t This book treats in sufficient detail most relevant topics in the area of real and functional analysis that can be included in a book of this nature and size and at the level indicated above. It can serve as a text for a solid one-year course entitled "Measure and Integration Theory" or a com­ prehensive one-year course entitled "Banach Spaces, Hilbert Spaces, and Spectral Theory. " For the latter alternative, the student is, of course, required to have some knowledge of measure and integration theory. The breadth of the book gives the instructor enough flexibility to choose what is best suited for his/her class. Specifically the following alternatives are available: (a) A one-year course on "Measure and Integration" utilizing Chapters 1 (Sections l. l-1. 3 and 1. 6), 2, 3, 4, portions of 5 (information on Lp spaces), and portions of 7 (left to the discretion of the teacher). (b) A one-year course in "Functional Analysis" utilizing Chapters 1 (Sections 1. 4-1. 6), 5, 6, 7 (Sections 7. 4 and 7. 6), and the Ap­ pendix. t T. M. Apostol, Mathematical Analysis, 2nd ed. , Addison-Wesley (1974).
Details
Erscheinungsjahr: 2013
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: x
529 S.
ISBN-13: 9781468423334
ISBN-10: 1468423339
Sprache: Englisch
Einband: Kartoniert / Broschiert
Redaktion: Pothoven, K.
Mukherjea, A.
Herausgeber: A Mukherjea/K Pothoven
Auflage: Softcover reprint of the original 1st edition 1978
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 30 mm
Von/Mit: K. Pothoven (u. a.)
Erscheinungsdatum: 21.12.2013
Gewicht: 0,814 kg
Artikel-ID: 105322310
Details
Erscheinungsjahr: 2013
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: x
529 S.
ISBN-13: 9781468423334
ISBN-10: 1468423339
Sprache: Englisch
Einband: Kartoniert / Broschiert
Redaktion: Pothoven, K.
Mukherjea, A.
Herausgeber: A Mukherjea/K Pothoven
Auflage: Softcover reprint of the original 1st edition 1978
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 30 mm
Von/Mit: K. Pothoven (u. a.)
Erscheinungsdatum: 21.12.2013
Gewicht: 0,814 kg
Artikel-ID: 105322310
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