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  • Textbook
  • © 1978

Differential Equations and Their Applications

Short Version

Authors:

  1. Martin Braun

    1. Department of Mathematics Queens College, City University of New York, Flushing, USA

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-viii
    PDF

  2. First-order differential equations

    • Martin Braun
    Pages 1-75

  3. Second-order linear differential equations

    • Martin Braun
    Pages 76-193

  4. Systems of differential equations

    • Martin Braun
    Pages 194-279

  6. Back Matter

    Pages 300-319
    PDF
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About this book

This textbook is a unique blend of the theory of differential equations and their exciting application to ··real world" problems. First, and foremost, it is a rigorous study of ordinary differential equations and can be fully understood by anyone who has completed one year of calculus. However, in addition to the traditional applications, it also contains many exciting '·real life" problems. These applications are completely self contained. First, the problem to be solved is outlined clearly, and one or more differential equations are derived as a model for this problem. These equations are then solved, and the results are compared with real world data. The following applications are covered in this text. I. In Section 1.3 we prove that the beautiful painting ··Disciples at Emmaus" which was bought by the Rembrandt Society of Belgium for $170,000 was a modern forgery. 2. In Section 1.5 we derive differential equations which govern the population growth of various species, and compare the results predicted by our models with the known values of the populations. 3. In Section 1.6 we try to determine whether tightly sealed drums filled with concentrated waste material will crack upon impact with the ocean floor. In this section we also describe several tricks for obtaining informa­ tion about solutions of a differential equation that cannot be solved explicitly.
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Keywords

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Authors and Affiliations

  • Department of Mathematics Queens College, City University of New York, Flushing, USA

    Martin Braun

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Bibliographic Information

  • Book Title: Differential Equations and Their Applications

  • Book Subtitle: Short Version

  • Authors: Martin Braun

  • DOI: https://doi.org/10.1007/978-1-4684-0053-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag, New York Inc. 1978

  • Softcover ISBN: 978-1-4684-0055-7Published: 19 January 2012

  • eBook ISBN: 978-1-4684-0053-3Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VIII, 319

  • Additional Information: Short version of volume 15 in the series: Applied Mathematical Sciences

  • Topics: Analysis

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eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

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