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Titlebook: Calculus I; Jerrold Marsden,Alan Weinstein Textbook 1985Latest edition Springer-Verlag New York Inc. 1985 Fundamental theorem of calculus.

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发表于 2025-3-21 19:16:58 | 显示全部楼层 |阅读模式
书目名称Calculus I
编辑Jerrold Marsden,Alan Weinstein
视频video
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丛书名称Undergraduate Texts in Mathematics
图书封面Titlebook: Calculus I;  Jerrold Marsden,Alan Weinstein Textbook 1985Latest edition Springer-Verlag New York Inc. 1985 Fundamental theorem of calculus.
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 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Fundamental theorem of calculus; calculus; derivative; differential equation; intermediate value theorem
版次2
doihttps://doi.org/10.1007/978-1-4612-5024-1
isbn_softcover978-0-387-90974-5
isbn_ebook978-1-4612-5024-1Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer-Verlag New York Inc. 1985
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Neural Development and RegenerationSuccess in the study of calculus depends upon a solid understanding of algebra and analytic geometry. In this chapter, we review topics from these subjects which are particularly important for calculus.
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Harish Babu,Theo D. Palmer,Fred H. GageMany problems involving angles, circles, and periodic motion lead to trigonometric functions. In this chapter, we study the calculus of these functions, and we apply our knowledge to solve new problems.
发表于 2025-3-22 15:52:41 | 显示全部楼层
Introduction,Calculus has earned a reputation for being an essential tool in the sciences. Our aim in this introduction is to give the reader an idea of what calculus is all about and why it is useful.
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Review of Fundamentals,Success in the study of calculus depends upon a solid understanding of algebra and analytic geometry. In this chapter, we review topics from these subjects which are particularly important for calculus.
发表于 2025-3-22 22:30:36 | 显示全部楼层
Graphing and Maximum-Minimum Problems,Now that we know how to differentiate, we can use this information to assist us in plotting graphs. The signs of the derivative and the second derivative of a function will tell us which way the graph of the function is “leaning” and “bending.”
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发表于 2025-3-23 08:56:22 | 显示全部楼层
Trigonometric Functions,Many problems involving angles, circles, and periodic motion lead to trigonometric functions. In this chapter, we study the calculus of these functions, and we apply our knowledge to solve new problems.
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