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  • © 1985

Calculus I

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

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  • ISBN: 978-1-4612-5024-1
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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xv
  2. Introduction

    • Jerrold Marsden, Alan Weinstein
    Pages 1-11
  3. Orientation Quizzes

    • Jerrold Marsden, Alan Weinstein
    Pages 13-14
  4. Review of Fundamentals

    • Jerrold Marsden, Alan Weinstein
    Pages 15-48
  5. Derivatives and Limits

    • Jerrold Marsden, Alan Weinstein
    Pages 49-97
  6. Rates of Change and the Chain Rule

    • Jerrold Marsden, Alan Weinstein
    Pages 99-137
  7. Graphing and Maximum-Minimum Problems

    • Jerrold Marsden, Alan Weinstein
    Pages 139-199
  8. The Integral

    • Jerrold Marsden, Alan Weinstein
    Pages 201-249
  9. Trigonometric Functions

    • Jerrold Marsden, Alan Weinstein
    Pages 251-306
  10. Exponentials and Logarithms

    • Jerrold Marsden, Alan Weinstein
    Pages 307-335
  11. Back Matter

    Pages 337-388

About this book

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

Keywords

  • Fundamental theorem of calculus
  • calculus
  • derivative
  • differential equation
  • intermediate value theorem
  • logarithm
  • maximum
  • mean value theorem
  • minimum

Authors and Affiliations

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

    Jerrold Marsden

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

    Alan Weinstein

Bibliographic Information

  • Book Title: Calculus I

  • Authors: Jerrold Marsden, Alan Weinstein

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-5024-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

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

  • Softcover ISBN: 978-0-387-90974-5

  • eBook ISBN: 978-1-4612-5024-1

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 2

  • Number of Pages: XV, 388

  • Additional Information: Originally published in one volume by B. Cummings Publishing Co., 1980

  • Topics: Real Functions

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • ISBN: 978-1-4612-5024-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 54.95
Price excludes VAT (USA)