Undergraduate Analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1983
|
| Series: | Undergraduate Texts in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The present volume is a text designed for a first course in analysis. Although it is logically self-contained, it presupposes the mathematical maturity acquired by students who will ordinarily have had two years of calculus. When used in this context, most of the first part can be omitted, or reviewed extremely rapidly, or left to the students to read by themselves. The course can proceed immediately into Part Two after covering Chapters o and 1. However, the techniques of Part One are precisely those which are not emphasized in elementary calculus courses, since they are regarded as too sophisticated. The context of a third-year course is the first time that they are given proper emphasis, and thus it is important that Part One be thoroughly mastered. Emphasis has shifted from computational aspects of calculus to theoretical aspects: proofs for theorems concerning continuous 2 functions; sketching curves like x e-X, x log x, xlix which are usually regarded as too difficult for the more elementary courses; and other similar matters |
| Physical Description: | 1 Online-Ressource (XIII, 546 p) |
| ISBN: | 9781475718010 9781475718034 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4757-1801-0 |
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| spelling | Lang, Serge Verfasser aut Undergraduate Analysis by Serge Lang New York, NY Springer New York 1983 1 Online-Ressource (XIII, 546 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 The present volume is a text designed for a first course in analysis. Although it is logically self-contained, it presupposes the mathematical maturity acquired by students who will ordinarily have had two years of calculus. When used in this context, most of the first part can be omitted, or reviewed extremely rapidly, or left to the students to read by themselves. The course can proceed immediately into Part Two after covering Chapters o and 1. However, the techniques of Part One are precisely those which are not emphasized in elementary calculus courses, since they are regarded as too sophisticated. The context of a third-year course is the first time that they are given proper emphasis, and thus it is important that Part One be thoroughly mastered. Emphasis has shifted from computational aspects of calculus to theoretical aspects: proofs for theorems concerning continuous 2 functions; sketching curves like x e-X, x log x, xlix which are usually regarded as too difficult for the more elementary courses; and other similar matters Mathematics Global analysis (Mathematics) Analysis Mathematik Algebra (DE-588)4001156-2 gnd rswk-swf Katze (DE-588)4030046-8 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf 1\p (DE-588)4006604-6 Bilderbuch gnd-content 2\p (DE-588)4143389-0 Aufgabensammlung gnd-content 3\p (DE-588)4123623-3 Lehrbuch gnd-content Analysis (DE-588)4001865-9 s 4\p DE-604 Katze (DE-588)4030046-8 s 5\p DE-604 Infinitesimalrechnung (DE-588)4072798-1 s 6\p DE-604 Algebra (DE-588)4001156-2 s 7\p DE-604 https://doi.org/10.1007/978-1-4757-1801-0 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 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 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 7\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lang, Serge Undergraduate Analysis Mathematics Global analysis (Mathematics) Analysis Mathematik Algebra (DE-588)4001156-2 gnd Katze (DE-588)4030046-8 gnd Analysis (DE-588)4001865-9 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4030046-8 (DE-588)4001865-9 (DE-588)4072798-1 (DE-588)4006604-6 (DE-588)4143389-0 (DE-588)4123623-3 |
| title | Undergraduate Analysis |
| title_auth | Undergraduate Analysis |
| title_exact_search | Undergraduate Analysis |
| title_full | Undergraduate Analysis by Serge Lang |
| title_fullStr | Undergraduate Analysis by Serge Lang |
| title_full_unstemmed | Undergraduate Analysis by Serge Lang |
| title_short | Undergraduate Analysis |
| title_sort | undergraduate analysis |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Algebra (DE-588)4001156-2 gnd Katze (DE-588)4030046-8 gnd Analysis (DE-588)4001865-9 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Algebra Katze Infinitesimalrechnung Bilderbuch Aufgabensammlung Lehrbuch |
| url | https://doi.org/10.1007/978-1-4757-1801-0 |
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