Real and Functional Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1978
|
| Schriftenreihe: | Mathematical Concepts and Methods in Science and Engineering
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| 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) |
| Beschreibung: | 1 Online-Ressource (X, 529 p) |
| ISBN: | 9781468423310 9781468423334 |
| DOI: | 10.1007/978-1-4684-2331-0 |
Internformat
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-2331-0 |
| format | Electronic eBook |
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| id | DE-604.BV042421067 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468423310 9781468423334 |
| language | English |
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| physical | 1 Online-Ressource (X, 529 p) |
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| publishDate | 1978 |
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| series2 | Mathematical Concepts and Methods in Science and Engineering |
| spelling | Mukherjea, A. Verfasser aut Real and Functional Analysis by A. Mukherjea, K. Pothoven Boston, MA Springer US 1978 1 Online-Ressource (X, 529 p) txt rdacontent c rdamedia cr rdacarrier Mathematical Concepts and Methods in Science and Engineering 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) Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s 1\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 2\p DE-604 Pothoven, K. Sonstige oth https://doi.org/10.1007/978-1-4684-2331-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mukherjea, A. Real and Functional Analysis Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4001865-9 |
| title | Real and Functional Analysis |
| title_auth | Real and Functional Analysis |
| title_exact_search | Real and Functional Analysis |
| title_full | Real and Functional Analysis by A. Mukherjea, K. Pothoven |
| title_fullStr | Real and Functional Analysis by A. Mukherjea, K. Pothoven |
| title_full_unstemmed | Real and Functional Analysis by A. Mukherjea, K. Pothoven |
| title_short | Real and Functional Analysis |
| title_sort | real and functional analysis |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis |
| url | https://doi.org/10.1007/978-1-4684-2331-0 |
| work_keys_str_mv | AT mukherjeaa realandfunctionalanalysis AT pothovenk realandfunctionalanalysis |