Honors Calculus:
This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis c...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
[2006]
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| Subjects: | |
| Online Access: | DE-1043 DE-1046 DE-858 DE-573 DE-859 DE-860 DE-739 Volltext |
| Summary: | This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexibility for the instructor and allows the student to see the overall flow of the development. At the same time, the book reveals the origins of the calculus in celestial mechanics and number theory. The book introduces many topics often left to the appendixes in standard calculus textbooks and develops their connections with physics, engineering, and statistics. The author uses applications of derivatives and integrals to show how calculus is applied in these disciplines. Solutions to all exercises (even those involving proofs) are available to instructors upon request, making this book unique among texts in the field. Focuses on single variable calculus Provides a balance of precision and intuition Offers both routine and demanding exercises |
| Item Description: | 2020 als E-Book erschienen |
| Physical Description: | 1 Online-Ressource (200 Seiten) |
| ISBN: | 9780691218229 |
| DOI: | 10.1515/9780691218229 |
Staff View
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T17:14:52Z |
| indexdate | 2025-02-19T17:30:32Z |
| institution | BVB |
| isbn | 9780691218229 |
| language | English |
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| publishDate | 2006 |
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| publisher | Princeton University Press |
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| spelling | MacCluer, Charles R. Verfasser (DE-588)1067824715 aut Honors Calculus Charles R. MacCluer Princeton, NJ Princeton University Press [2006] © 2006 1 Online-Ressource (200 Seiten) txt rdacontent c rdamedia cr rdacarrier 2020 als E-Book erschienen This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexibility for the instructor and allows the student to see the overall flow of the development. At the same time, the book reveals the origins of the calculus in celestial mechanics and number theory. The book introduces many topics often left to the appendixes in standard calculus textbooks and develops their connections with physics, engineering, and statistics. The author uses applications of derivatives and integrals to show how calculus is applied in these disciplines. Solutions to all exercises (even those involving proofs) are available to instructors upon request, making this book unique among texts in the field. Focuses on single variable calculus Provides a balance of precision and intuition Offers both routine and demanding exercises MATHEMATICS / Calculus bisacsh Calculus Textbooks Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s DE-604 https://doi.org/10.1515/9780691218229 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | MacCluer, Charles R. Honors Calculus MATHEMATICS / Calculus bisacsh Calculus Textbooks Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 |
| title | Honors Calculus |
| title_auth | Honors Calculus |
| title_exact_search | Honors Calculus |
| title_exact_search_txtP | Honors Calculus |
| title_full | Honors Calculus Charles R. MacCluer |
| title_fullStr | Honors Calculus Charles R. MacCluer |
| title_full_unstemmed | Honors Calculus Charles R. MacCluer |
| title_short | Honors Calculus |
| title_sort | honors calculus |
| topic | MATHEMATICS / Calculus bisacsh Calculus Textbooks Analysis (DE-588)4001865-9 gnd |
| topic_facet | MATHEMATICS / Calculus Calculus Textbooks Analysis |
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