Primer of Modern Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1983
|
| Ausgabe: | 2 |
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book discusses some of the first principles of modern analysis. I t can be used for courses at several levels, depending upon the background and ability of the students. It was written on the premise that today's good students have unexpected enthusiasm and nerve. When hard work is put to them, they work harder and ask for more. The honors course (at the University of Wisconsin) which inspired this book was, I think, more fun than the book itself. And better. But then there is acting in teaching, and a typewriter is a poor substitute for an audience. The spontaneous, creative disorder that characterizes an exciting course becomes silly in a book. To write, one must cut and dry. Yet, I hope enough of the spontaneity, enough of the spirit of that course, is left to enable those using the book to create exciting courses of their own. Exercises in this book are not designed for drill. They are designed to clarify the meanings of the theorems, to force an understanding of the proofs, and to call attention to points in a proof that might otherwise be overlooked. The exercises, therefore, are a real part of the theory, not a collection of side issues, and as such nearly all of them are to be done. Some drill is, of course, necessary, particularly in the calculation of integrals |
| Beschreibung: | 1 Online-Ressource (XV, 446 p) |
| ISBN: | 9781461211440 9781461270218 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4612-1144-0 |
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Datensatz im Suchindex
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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 | 10.1007/978-1-4612-1144-0 |
| edition | 2 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461211440 9781461270218 |
| issn | 0172-6056 |
| language | English |
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| publishDate | 1983 |
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| series2 | Undergraduate Texts in Mathematics |
| spelling | Smith, Kennan T. Verfasser aut Primer of Modern Analysis by Kennan T. Smith 2 New York, NY Springer New York 1983 1 Online-Ressource (XV, 446 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 This book discusses some of the first principles of modern analysis. I t can be used for courses at several levels, depending upon the background and ability of the students. It was written on the premise that today's good students have unexpected enthusiasm and nerve. When hard work is put to them, they work harder and ask for more. The honors course (at the University of Wisconsin) which inspired this book was, I think, more fun than the book itself. And better. But then there is acting in teaching, and a typewriter is a poor substitute for an audience. The spontaneous, creative disorder that characterizes an exciting course becomes silly in a book. To write, one must cut and dry. Yet, I hope enough of the spontaneity, enough of the spirit of that course, is left to enable those using the book to create exciting courses of their own. Exercises in this book are not designed for drill. They are designed to clarify the meanings of the theorems, to force an understanding of the proofs, and to call attention to points in a proof that might otherwise be overlooked. The exercises, therefore, are a real part of the theory, not a collection of side issues, and as such nearly all of them are to be done. Some drill is, of course, necessary, particularly in the calculation of integrals Mathematics Mathematics, general Mathematik Analysis (DE-588)4001865-9 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Analysis (DE-588)4001865-9 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-1144-0 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 | Smith, Kennan T. Primer of Modern Analysis Mathematics Mathematics, general Mathematik Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4151278-9 |
| title | Primer of Modern Analysis |
| title_auth | Primer of Modern Analysis |
| title_exact_search | Primer of Modern Analysis |
| title_full | Primer of Modern Analysis by Kennan T. Smith |
| title_fullStr | Primer of Modern Analysis by Kennan T. Smith |
| title_full_unstemmed | Primer of Modern Analysis by Kennan T. Smith |
| title_short | Primer of Modern Analysis |
| title_sort | primer of modern analysis |
| topic | Mathematics Mathematics, general Mathematik Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Analysis Einführung |
| url | https://doi.org/10.1007/978-1-4612-1144-0 |
| work_keys_str_mv | AT smithkennant primerofmodernanalysis |