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Introduction to Calculus and Analysis

Volume I

  • Textbook
  • © 1989

Overview

Authors:
  1. Richard Courant

    1. Courant Institute of Mathematical Sciences, New York University, New York, USA

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  2. Fritz John

    1. Courant Institute of Mathematical Sciences, New York University, New York, USA

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    You can also search for this author in PubMed   Google Scholar

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About this book

From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text. In an additional pamphlet more problems and exercises of a routine character will be collected, and moreover, answers or hints for the solutions will be given. This first volume of concerned primarily with functions of a single variable, whereas the second volume will discuss the more ramified theories of calculus (...).

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xxiii
    Download chapter PDF

  2. Introduction

    • Richard Courant, Fritz John
    Pages 1-118

  3. The Fundamental Ideas of the Integral and Differential Calculus

    • Richard Courant, Fritz John
    Pages 119-200

  4. The Techniques of Calculus

    • Richard Courant, Fritz John
    Pages 201-323

  5. Applications in Physics and Geometry

    • Richard Courant, Fritz John
    Pages 324-439

  6. Taylor’s Expansion

    • Richard Courant, Fritz John
    Pages 440-480

  7. Numerical Methods

    • Richard Courant, Fritz John
    Pages 481-509

  8. Infinite Sums and Products

    • Richard Courant, Fritz John
    Pages 510-570

  9. Trigonometric Series

    • Richard Courant, Fritz John
    Pages 571-632

  10. Differential Equations for the Simplest Types of Vibration

    • Richard Courant, Fritz John
    Pages 633-649

  11. Back Matter

    Pages 650-661
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Authors and Affiliations

  • Courant Institute of Mathematical Sciences, New York University, New York, USA

    Richard Courant, Fritz John

Bibliographic Information

  • Book Title: Introduction to Calculus and Analysis

  • Book Subtitle: Volume I

  • Authors: Richard Courant, Fritz John

  • DOI: https://doi.org/10.1007/978-1-4613-8955-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1989

  • Softcover ISBN: 978-1-4613-8957-6Published: 08 November 2011

  • eBook ISBN: 978-1-4613-8955-2Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XXIII, 661

  • Additional Information: Originally published by Interscience Publishers, a division of John Wiley and Sons Inc., New York 1965

  • Topics: Analysis

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