Elementary Analysis: The Theory of Calculus:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1980
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals |
| Beschreibung: | 1 Online-Ressource (VIII, 264 p) |
| ISBN: | 9781475739718 9781441928115 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4757-3971-8 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-3971-8 |
| format | Electronic eBook |
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| spelling | Ross, Kenneth A. Verfasser aut Elementary Analysis: The Theory of Calculus by Kenneth A. Ross New York, NY Springer New York 1980 1 Online-Ressource (VIII, 264 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals Mathematics Global analysis (Mathematics) Analysis Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content 2\p (DE-588)4123623-3 Lehrbuch gnd-content Analysis (DE-588)4001865-9 s 3\p DE-604 Infinitesimalrechnung (DE-588)4072798-1 s 4\p DE-604 https://doi.org/10.1007/978-1-4757-3971-8 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 | Ross, Kenneth A. Elementary Analysis: The Theory of Calculus Mathematics Global analysis (Mathematics) Analysis Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4072798-1 (DE-588)4001865-9 (DE-588)4151278-9 (DE-588)4123623-3 |
| title | Elementary Analysis: The Theory of Calculus |
| title_auth | Elementary Analysis: The Theory of Calculus |
| title_exact_search | Elementary Analysis: The Theory of Calculus |
| title_full | Elementary Analysis: The Theory of Calculus by Kenneth A. Ross |
| title_fullStr | Elementary Analysis: The Theory of Calculus by Kenneth A. Ross |
| title_full_unstemmed | Elementary Analysis: The Theory of Calculus by Kenneth A. Ross |
| title_short | Elementary Analysis: The Theory of Calculus |
| title_sort | elementary analysis the theory of calculus |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Infinitesimalrechnung Einführung Lehrbuch |
| url | https://doi.org/10.1007/978-1-4757-3971-8 |
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