Calculus of Several Variables:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1987
|
| Ausgabe: | Third Edition |
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic forms, critical points, and Taylor's formula. One can then finish with Chapter IX on double integration to round off the one-term course. The other is to go into curve integrals, double integration, and Green's theorem, that is Chapters VII, VIII, IX, and X, §1. This forms a coherent whole |
| Beschreibung: | 1 Online-Ressource (XII, 619 p) |
| ISBN: | 9781461210689 9781461270010 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4612-1068-9 |
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Datensatz im Suchindex
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| author | Lang, Serge |
| author_facet | Lang, Serge |
| author_role | aut |
| author_sort | Lang, Serge |
| author_variant | s l sl |
| building | Verbundindex |
| bvnumber | BV042419731 |
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| dewey-full | 515.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.8 |
| dewey-search | 515.8 |
| dewey-sort | 3515.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1068-9 |
| edition | Third Edition |
| format | Electronic eBook |
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| id | DE-604.BV042419731 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461210689 9781461270010 |
| issn | 0172-6056 |
| language | English |
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| publishDate | 1987 |
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| spelling | Lang, Serge Verfasser aut Calculus of Several Variables by Serge Lang Third Edition New York, NY Springer New York 1987 1 Online-Ressource (XII, 619 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic forms, critical points, and Taylor's formula. One can then finish with Chapter IX on double integration to round off the one-term course. The other is to go into curve integrals, double integration, and Green's theorem, that is Chapters VII, VIII, IX, and X, §1. This forms a coherent whole Mathematics Real Functions Mathematik Analysis (DE-588)4001865-9 gnd rswk-swf Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Differentialrechnung (DE-588)4012252-9 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Analysis (DE-588)4001865-9 s Mehrere Variable (DE-588)4277015-4 s 1\p DE-604 Differentialrechnung (DE-588)4012252-9 s 2\p DE-604 Funktion Mathematik (DE-588)4071510-3 s 3\p DE-604 Infinitesimalrechnung (DE-588)4072798-1 s 4\p DE-604 https://doi.org/10.1007/978-1-4612-1068-9 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 | Lang, Serge Calculus of Several Variables Mathematics Real Functions Mathematik Analysis (DE-588)4001865-9 gnd Mehrere Variable (DE-588)4277015-4 gnd Funktion Mathematik (DE-588)4071510-3 gnd Differentialrechnung (DE-588)4012252-9 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4277015-4 (DE-588)4071510-3 (DE-588)4012252-9 (DE-588)4072798-1 |
| title | Calculus of Several Variables |
| title_auth | Calculus of Several Variables |
| title_exact_search | Calculus of Several Variables |
| title_full | Calculus of Several Variables by Serge Lang |
| title_fullStr | Calculus of Several Variables by Serge Lang |
| title_full_unstemmed | Calculus of Several Variables by Serge Lang |
| title_short | Calculus of Several Variables |
| title_sort | calculus of several variables |
| topic | Mathematics Real Functions Mathematik Analysis (DE-588)4001865-9 gnd Mehrere Variable (DE-588)4277015-4 gnd Funktion Mathematik (DE-588)4071510-3 gnd Differentialrechnung (DE-588)4012252-9 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd |
| topic_facet | Mathematics Real Functions Mathematik Analysis Mehrere Variable Funktion Mathematik Differentialrechnung Infinitesimalrechnung |
| url | https://doi.org/10.1007/978-1-4612-1068-9 |
| work_keys_str_mv | AT langserge calculusofseveralvariables |