书目名称 | Calculus of Several Variables | 编辑 | Serge Lang | 视频video | | 丛书名称 | Undergraduate Texts in Mathematics | 图书封面 |  | 描述 | 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. | 出版日期 | Textbook 1987Latest edition | 关键词 | Fourier series; calculus; derivative; differential equation; maximum; minimum | 版次 | 3 | doi | https://doi.org/10.1007/978-1-4612-1068-9 | isbn_softcover | 978-1-4612-7001-0 | isbn_ebook | 978-1-4612-1068-9Series ISSN 0172-6056 Series E-ISSN 2197-5604 | issn_series | 0172-6056 | copyright | Springer Science+Business Media New York 1987 |
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