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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.
| Autorius: | Serge Lang |
| Leidėjas: | Springer New York |
| Išleidimo metai: | 2012 |
| Knygos puslapių skaičius: | 636 |
| ISBN-10: | 1461270014 |
| ISBN-13: | 9781461270010 |
| Formatas: | 235 x 155 x 34 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
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