Applied Mathematical Sciences

Differential Equations and Their Applications

An Introduction to Applied Mathematics

Authors: Braun, M.

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  • ISBN 978-1-4684-9360-3
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About this Textbook

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 un­ derstood 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 equa­ tions 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 of Emmaus" which was bought by the Rembrandt Society of Belgium for $170,000 was a modem 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 derive differential equations which govern the rate at which farmers adopt new innovations. Surprisingly, these same differen­ tial equations govern the rate at which technological innovations are adopted in such diverse industries as coal, iron and steel, brewing, and railroads.

Table of contents (5 chapters)

  • First-order differential equations

    Braun, Martin

    Pages 1-120

  • Second-order linear differential equations

    Braun, Martin

    Pages 121-239

  • Systems of differential equations

    Braun, Martin

    Pages 240-347

  • Qualitative theory of differential equations

    Braun, Martin

    Pages 348-445

  • Separation of variables and Fourier series

    Braun, Martin

    Pages 446-483

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-1-4684-9360-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Differential Equations and Their Applications
Book Subtitle
An Introduction to Applied Mathematics
Authors
Series Title
Applied Mathematical Sciences
Series Volume
15
Copyright
1978
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4684-9360-3
DOI
10.1007/978-1-4684-9360-3
Series ISSN
0066-5452
Edition Number
2
Number of Pages
VIII, 518
Topics