Real and Abstract Analysis: A modern treatment of the theory of functions of a real variable
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | German |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1965
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present customarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. We have included every topic that we think essential for the training of analysts, and we have also gone down a number of interesting bypaths. We hope too that the book will be useful as a reference for mature mathematicians and other scientific workers. Rence we have presented very general and complete versions of a number of important theorems and constructions. Since these sophisticated versions may be difficult for the beginner, we have given elementary avatars of all important theorems, with appropriate suggestions for skipping. We have given complete definitions, explanations, and proofs throughout, so that the book should be usable for individual study as weil as for a course text. Prerequisites for reading the book are the foilowing. The reader is assumed to know elementary analysis as the subject is set forth, for example, in TOM M. APOSTOL'S Mathematical Analysis [Addison-Wesley Publ. Co., Reading, Mass., 1957], Or WALTER RUDIN'S Principles of Mathematical 4 Analysis [2" Ed., McGraw-Rill Book Co., New York, 1964] |
| Beschreibung: | 1 Online-Ressource (VIII, 476 S.) |
| ISBN: | 9783662297940 9783662282755 |
| DOI: | 10.1007/978-3-662-29794-0 |
Internformat
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| 245 | 1 | 0 | |a Real and Abstract Analysis |b A modern treatment of the theory of functions of a real variable |c von Edwin Hewitt, Karl R. Stromberg |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1965 | |
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Datensatz im Suchindex
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| author | Hewitt, Edwin |
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| author_sort | Hewitt, Edwin |
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| building | Verbundindex |
| bvnumber | BV042450590 |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Allgemeine Naturwissenschaft Mathematik |
| doi_str_mv | 10.1007/978-3-662-29794-0 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:22:04Z |
| institution | BVB |
| isbn | 9783662297940 9783662282755 |
| language | German |
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| spelling | Hewitt, Edwin Verfasser aut Real and Abstract Analysis A modern treatment of the theory of functions of a real variable von Edwin Hewitt, Karl R. Stromberg Berlin, Heidelberg Springer Berlin Heidelberg 1965 1 Online-Ressource (VIII, 476 S.) txt rdacontent c rdamedia cr rdacarrier This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present customarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. We have included every topic that we think essential for the training of analysts, and we have also gone down a number of interesting bypaths. We hope too that the book will be useful as a reference for mature mathematicians and other scientific workers. Rence we have presented very general and complete versions of a number of important theorems and constructions. Since these sophisticated versions may be difficult for the beginner, we have given elementary avatars of all important theorems, with appropriate suggestions for skipping. We have given complete definitions, explanations, and proofs throughout, so that the book should be usable for individual study as weil as for a course text. Prerequisites for reading the book are the foilowing. The reader is assumed to know elementary analysis as the subject is set forth, for example, in TOM M. APOSTOL'S Mathematical Analysis [Addison-Wesley Publ. Co., Reading, Mass., 1957], Or WALTER RUDIN'S Principles of Mathematical 4 Analysis [2" Ed., McGraw-Rill Book Co., New York, 1964] Mathematics Global analysis (Mathematics) Analysis Mathematik Reelle Funktion (DE-588)4048918-8 gnd rswk-swf Reelle Analysis (DE-588)4627581-2 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s Reelle Funktion (DE-588)4048918-8 s 1\p DE-604 Reelle Analysis (DE-588)4627581-2 s 2\p DE-604 Stromberg, Karl R. Sonstige oth https://doi.org/10.1007/978-3-662-29794-0 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 | Hewitt, Edwin Real and Abstract Analysis A modern treatment of the theory of functions of a real variable Mathematics Global analysis (Mathematics) Analysis Mathematik Reelle Funktion (DE-588)4048918-8 gnd Reelle Analysis (DE-588)4627581-2 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4048918-8 (DE-588)4627581-2 (DE-588)4001865-9 |
| title | Real and Abstract Analysis A modern treatment of the theory of functions of a real variable |
| title_auth | Real and Abstract Analysis A modern treatment of the theory of functions of a real variable |
| title_exact_search | Real and Abstract Analysis A modern treatment of the theory of functions of a real variable |
| title_full | Real and Abstract Analysis A modern treatment of the theory of functions of a real variable von Edwin Hewitt, Karl R. Stromberg |
| title_fullStr | Real and Abstract Analysis A modern treatment of the theory of functions of a real variable von Edwin Hewitt, Karl R. Stromberg |
| title_full_unstemmed | Real and Abstract Analysis A modern treatment of the theory of functions of a real variable von Edwin Hewitt, Karl R. Stromberg |
| title_short | Real and Abstract Analysis |
| title_sort | real and abstract analysis a modern treatment of the theory of functions of a real variable |
| title_sub | A modern treatment of the theory of functions of a real variable |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Reelle Funktion (DE-588)4048918-8 gnd Reelle Analysis (DE-588)4627581-2 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Reelle Funktion Reelle Analysis |
| url | https://doi.org/10.1007/978-3-662-29794-0 |
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