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Calculus II

  • Textbook
  • © 1985

Overview

Authors:
  1. Jerrold Marsden

    1. Control and Dynamical Systems 107–81, California Institute of Technology, Pasadena, USA

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  2. Alan Weinstein

    1. Department of Mathematics, University of California, Berkeley, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Undergraduate Texts in Mathematics (UTM)

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Table of contents (6 chapters)

  1. Front Matter

    Pages 2-xv
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  2. Basic Methods of Integration

    • Jerrold Marsden, Alan Weinstein
    Pages 337-367

  3. Differential Equations

    • Jerrold Marsden, Alan Weinstein
    Pages 369-417

  4. Applications of Integration

    • Jerrold Marsden, Alan Weinstein
    Pages 419-455

  5. Further Techniques and Applications of Integration

    • Jerrold Marsden, Alan Weinstein
    Pages 457-507

  6. Limits, L’Hôpital’s Rule, and Numerical Methods

    • Jerrold Marsden, Alan Weinstein
    Pages 509-559

  7. Infinite Series

    • Jerrold Marsden, Alan Weinstein
    Pages 561-644

  8. Back Matter

    Pages 645-7
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Keywords

About this book

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 calculus is really about. • The exercises come in groups of two and often four similar ones.

Authors and Affiliations

  • Control and Dynamical Systems 107–81, California Institute of Technology, Pasadena, USA

    Jerrold Marsden

  • Department of Mathematics, University of California, Berkeley, USA

    Alan Weinstein

Bibliographic Information

  • Book Title: Calculus II

  • Authors: Jerrold Marsden, Alan Weinstein

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-5026-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1985

  • Softcover ISBN: 978-0-387-90975-2Published: 19 April 1985

  • eBook ISBN: 978-1-4612-5026-5Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 2

  • Number of Pages: XV, 348

  • Additional Information: Originally published in one volume by Benjamin/ Cummings Publishing Company, 1980

  • Topics: Real Functions

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