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: | English |
| 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. Hence 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 well as for a course text. Prerequisites for reading the book are the following. 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 Analysis [2nd Ed., McGraw-Hill Book Co., New York, 1964] |
| Beschreibung: | 1 Online-Ressource (VIII, 476 p) |
| ISBN: | 9783642880445 9783642880469 |
| DOI: | 10.1007/978-3-642-88044-5 |
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 by Edwin Hewitt, Karl 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 1920-1999 |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-88044-5 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642880445 9783642880469 |
| language | English |
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| spelling | Hewitt, Edwin 1920-1999 Verfasser (DE-588)117712434 aut Real and abstract analysis A modern treatment of the theory of functions of a real variable by Edwin Hewitt, Karl Stromberg Berlin, Heidelberg Springer Berlin Heidelberg 1965 1 Online-Ressource (VIII, 476 p) 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. Hence 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 well as for a course text. Prerequisites for reading the book are the following. 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 Analysis [2nd Ed., McGraw-Hill Book Co., New York, 1964] Mathematics Mathematics, general Mathematik Reelle Funktion (DE-588)4048918-8 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Reelle Analysis (DE-588)4627581-2 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. 1931-1994 Sonstige (DE-588)105811041 oth https://doi.org/10.1007/978-3-642-88044-5 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 1920-1999 Real and abstract analysis A modern treatment of the theory of functions of a real variable Mathematics Mathematics, general Mathematik Reelle Funktion (DE-588)4048918-8 gnd Analysis (DE-588)4001865-9 gnd Reelle Analysis (DE-588)4627581-2 gnd |
| subject_GND | (DE-588)4048918-8 (DE-588)4001865-9 (DE-588)4627581-2 |
| 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 by Edwin Hewitt, Karl Stromberg |
| title_fullStr | Real and abstract analysis A modern treatment of the theory of functions of a real variable by Edwin Hewitt, Karl Stromberg |
| title_full_unstemmed | Real and abstract analysis A modern treatment of the theory of functions of a real variable by Edwin Hewitt, Karl 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 Mathematics, general Mathematik Reelle Funktion (DE-588)4048918-8 gnd Analysis (DE-588)4001865-9 gnd Reelle Analysis (DE-588)4627581-2 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Reelle Funktion Analysis Reelle Analysis |
| url | https://doi.org/10.1007/978-3-642-88044-5 |
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