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Titlebook: Calculus III; Jerrold Marsden,Alan Weinstein Textbook 1985Latest edition Springer-Verlag New York Inc. 1985 calculus.derivative.differenti

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书目名称Calculus III
编辑Jerrold Marsden,Alan Weinstein
视频videohttp://file.papertrans.cn/221/220853/220853.mp4
丛书名称Undergraduate Texts in Mathematics
图书封面Titlebook: Calculus III;  Jerrold Marsden,Alan Weinstein Textbook 1985Latest edition Springer-Verlag New York Inc. 1985 calculus.derivative.differenti
描述The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. This book is an outgrowth of our teaching of calculus at Berkeley, and the present edition incorporates many improvements based on our use of the first edition. We list below some of the key features of the book. Examples and Exercises The exercise sets have been carefully constructed to be of maximum use to the students. With few exceptions we adhere to the following policies . • The section exercises are graded into three consecutive groups: (a) The first exercises are routine, modelled almost exactly on the exam­ ples; these are intended to give students confidence. (b) Next come exercises that are still based directly on the examples and text but which may have variations of wording or which combine different ideas; these are intended to train students to think for themselves. (c) The last exercises in each set are difficult. These are marked with a star (*) and some will challenge even the best studep,ts. Difficult does not necessarily mean theoretical; often a starred problem is an interesting application that requires insight into wh
出版日期Textbook 1985Latest edition
关键词calculus; derivative; differential equation; extrema; maximum; minimum
版次2
doihttps://doi.org/10.1007/978-1-4612-5028-9
isbn_softcover978-0-387-90985-1
isbn_ebook978-1-4612-5028-9Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer-Verlag New York Inc. 1985
The information of publication is updating

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Yuzhi Chen,Pengjun Zhai,Yu Fangties of partial derivatives. Methods for computation, including the chain rule, are presented along with a geometric interpretation in terms of tangent planes. The next chapter continues the development with topics including implicit differentiation, gradients, and maxima and minima.
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Partial Differentiation,ties of partial derivatives. Methods for computation, including the chain rule, are presented along with a geometric interpretation in terms of tangent planes. The next chapter continues the development with topics including implicit differentiation, gradients, and maxima and minima.
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Vectors,le, for instance, depends upon the lengths . and . of the two other sides; the dependence is given by the Pythagorean formula .. Similarly, the growth rate of a plant may depend upon the amounts of sunlight, water, and fertilizer it receives; such a dependence relation may be determined experimental
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Partial Differentiation,he rates of change, for a function of . variables, are described by . functions called its .. This chapter begins with the definition and basic properties of partial derivatives. Methods for computation, including the chain rule, are presented along with a geometric interpretation in terms of tangen
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