Intermediate Real Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1983
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | There are a great deal of books on introductory analysis in print today, many written by mathematicians of the first rank. The publication of another such book therefore warrants a defense. I have taught analysis for many years and have used a variety of texts during this time. These books were of excellent quality mathematically but did not satisfy the needs of the students I was teaching. They were written for mathematicians but not for those who were first aspiring to attain that status. The desire to fill this gap gave rise to the writing of this book. This book is intended to serve as a text for an introductory course in analysis. Its readers will most likely be mathematics, science, or engineering majors undertaking the last quarter of their undergraduate education. The aim of a first course in analysis is to provide the student with a sound foundation for analysis, to familiarize him with the kind of careful thinking used in advanced mathematics, and to provide him with tools for further work in it. The typical student we are dealing with has completed a three-semester calculus course and possibly an introductory course in differential equations. He may even have been exposed to a semester or two of modern algebra. All this time his training has most likely been intuitive with heuristics taking the place of proof. This may have been appropriate for that stage of his development |
| Beschreibung: | 1 Online-Ressource (XIV, 770 p) |
| ISBN: | 9781461394815 9781461394839 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4613-9481-5 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Fischer, Emanuel |
| author_facet | Fischer, Emanuel |
| author_role | aut |
| author_sort | Fischer, Emanuel |
| author_variant | e f ef |
| building | Verbundindex |
| bvnumber | BV042420795 |
| classification_tum | MAT 000 |
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| dewey-full | 515.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515.8 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-9481-5 |
| format | Electronic eBook |
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| id | DE-604.BV042420795 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461394815 9781461394839 |
| issn | 0172-6056 |
| language | English |
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| spelling | Fischer, Emanuel Verfasser aut Intermediate Real Analysis by Emanuel Fischer New York, NY Springer US 1983 1 Online-Ressource (XIV, 770 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 There are a great deal of books on introductory analysis in print today, many written by mathematicians of the first rank. The publication of another such book therefore warrants a defense. I have taught analysis for many years and have used a variety of texts during this time. These books were of excellent quality mathematically but did not satisfy the needs of the students I was teaching. They were written for mathematicians but not for those who were first aspiring to attain that status. The desire to fill this gap gave rise to the writing of this book. This book is intended to serve as a text for an introductory course in analysis. Its readers will most likely be mathematics, science, or engineering majors undertaking the last quarter of their undergraduate education. The aim of a first course in analysis is to provide the student with a sound foundation for analysis, to familiarize him with the kind of careful thinking used in advanced mathematics, and to provide him with tools for further work in it. The typical student we are dealing with has completed a three-semester calculus course and possibly an introductory course in differential equations. He may even have been exposed to a semester or two of modern algebra. All this time his training has most likely been intuitive with heuristics taking the place of proof. This may have been appropriate for that stage of his development Mathematics Real Functions Mathematik Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf 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 1\p DE-604 Reelle Funktion (DE-588)4048918-8 s 2\p DE-604 Reelle Analysis (DE-588)4627581-2 s 3\p DE-604 Funktion Mathematik (DE-588)4071510-3 s 4\p DE-604 https://doi.org/10.1007/978-1-4613-9481-5 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fischer, Emanuel Intermediate Real Analysis Mathematics Real Functions Mathematik Funktion Mathematik (DE-588)4071510-3 gnd Reelle Funktion (DE-588)4048918-8 gnd Reelle Analysis (DE-588)4627581-2 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4071510-3 (DE-588)4048918-8 (DE-588)4627581-2 (DE-588)4001865-9 |
| title | Intermediate Real Analysis |
| title_auth | Intermediate Real Analysis |
| title_exact_search | Intermediate Real Analysis |
| title_full | Intermediate Real Analysis by Emanuel Fischer |
| title_fullStr | Intermediate Real Analysis by Emanuel Fischer |
| title_full_unstemmed | Intermediate Real Analysis by Emanuel Fischer |
| title_short | Intermediate Real Analysis |
| title_sort | intermediate real analysis |
| topic | Mathematics Real Functions Mathematik Funktion Mathematik (DE-588)4071510-3 gnd Reelle Funktion (DE-588)4048918-8 gnd Reelle Analysis (DE-588)4627581-2 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematics Real Functions Mathematik Funktion Mathematik Reelle Funktion Reelle Analysis Analysis |
| url | https://doi.org/10.1007/978-1-4613-9481-5 |
| work_keys_str_mv | AT fischeremanuel intermediaterealanalysis |