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Titlebook: Calculus II; Jerrold Marsden,Alan Weinstein Textbook 1985Latest edition Springer-Verlag New York Inc. 1985 calculus.comparison test.differ

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书目名称Calculus II
编辑Jerrold Marsden,Alan Weinstein
视频video
丛书名称Undergraduate Texts in Mathematics
图书封面Titlebook: Calculus II;  Jerrold Marsden,Alan Weinstein Textbook 1985Latest edition Springer-Verlag New York Inc. 1985 calculus.comparison test.differ
描述The goal of this text is to help students leam 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, modelIed almost exactly on the exam­ pIes; 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 students. Difficult does not necessarily mean theoretical; often a starred problem is an interesting application that requires insight into what
出版日期Textbook 1985Latest edition
关键词calculus; comparison test; differential equation; mean value theorem; measure; numerical methods
版次2
doihttps://doi.org/10.1007/978-1-4612-5026-5
isbn_softcover978-0-387-90975-2
isbn_ebook978-1-4612-5026-5Series 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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Ningqi Luo,Binheng Song,Yinxu Pan,Bin ShenOur treatment of limits up to this point has been rather casual. Now, having learned some differential and integral calculus, you should be prepared to appreciate a more detailed study of limits.
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Applications of Integration,Our applications of integration in Chapter 4 were limited to area, distance-velocity, and rate problems. In this chapter, we will see how to use integrals to set up problems involving volumes, averages, centers of mass, work, energy, and power. The techniques developed in Chapter 7 make it possible to solve many of these problems completely.
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Further Techniques and Applications of Integration,Besides the basic methods of integration associated with reversing the differentiation rules, there are special methods for integrands of particular forms. Using these methods, we can solve some interesting length and area problems.
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Shutao Li,Chen Liao,James T. Kwokrtant general techniques: integration by substitution and integration by parts. As the techniques for evaluating integrals are developed, you will see that integration is a more subtle process than differentiation and that it takes practice to learn which method should be used in a given problem.
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