How to integrate it: a practical guide to finding elementary integrals
While differentiating elementary functions is merely a skill, finding their integrals is an art. This practical introduction to the art of integration gives readers the tools and confidence to tackle common and uncommon integrals. After a review of the basic properties of the Riemann integral, each...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | While differentiating elementary functions is merely a skill, finding their integrals is an art. This practical introduction to the art of integration gives readers the tools and confidence to tackle common and uncommon integrals. After a review of the basic properties of the Riemann integral, each chapter is devoted to a particular technique of elementary integration. Thorough explanations and plentiful worked examples prepare the reader for the extensive exercises at the end of each chapter. These exercises increase in difficulty from warm-up problems, through drill examples, to challenging extensions which illustrate such advanced topics as the irrationality of π and e, the solution of the Basel problem, Leibniz's series and Wallis's product. The author's accessible and engaging manner will appeal to a wide audience, including students, teachers and self-learners. The book can serve as a complete introduction to finding elementary integrals, or as a supplementary text for any beginning course in calculus |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Jan 2018) |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781108291507 |
| DOI: | 10.1017/9781108291507 |
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| spelling | Stewart, Séan M. Verfasser (DE-588)1151059188 aut How to integrate it a practical guide to finding elementary integrals Seán M. Stewart Cambridge Cambridge University Press 2018 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Jan 2018) While differentiating elementary functions is merely a skill, finding their integrals is an art. This practical introduction to the art of integration gives readers the tools and confidence to tackle common and uncommon integrals. After a review of the basic properties of the Riemann integral, each chapter is devoted to a particular technique of elementary integration. Thorough explanations and plentiful worked examples prepare the reader for the extensive exercises at the end of each chapter. These exercises increase in difficulty from warm-up problems, through drill examples, to challenging extensions which illustrate such advanced topics as the irrationality of π and e, the solution of the Basel problem, Leibniz's series and Wallis's product. The author's accessible and engaging manner will appeal to a wide audience, including students, teachers and self-learners. The book can serve as a complete introduction to finding elementary integrals, or as a supplementary text for any beginning course in calculus Integralrechnung (DE-588)4027232-1 gnd rswk-swf Definite integrals Integralrechnung (DE-588)4027232-1 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-1-108-29150-7 https://doi.org/10.1017/9781108291507 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stewart, Séan M. How to integrate it a practical guide to finding elementary integrals Integralrechnung (DE-588)4027232-1 gnd |
| subject_GND | (DE-588)4027232-1 |
| title | How to integrate it a practical guide to finding elementary integrals |
| title_auth | How to integrate it a practical guide to finding elementary integrals |
| title_exact_search | How to integrate it a practical guide to finding elementary integrals |
| title_exact_search_txtP | How to integrate it a practical guide to finding elementary integrals |
| title_full | How to integrate it a practical guide to finding elementary integrals Seán M. Stewart |
| title_fullStr | How to integrate it a practical guide to finding elementary integrals Seán M. Stewart |
| title_full_unstemmed | How to integrate it a practical guide to finding elementary integrals Seán M. Stewart |
| title_short | How to integrate it |
| title_sort | how to integrate it a practical guide to finding elementary integrals |
| title_sub | a practical guide to finding elementary integrals |
| topic | Integralrechnung (DE-588)4027232-1 gnd |
| topic_facet | Integralrechnung |
| url | https://doi.org/10.1017/9781108291507 |
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