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Differential Equations and Their Applications

Short Version

Authors: Braun, M.

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  • ISBN 978-1-4684-0053-3
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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 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.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-1-4684-0053-3
  • 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
Short Version
Authors
Copyright
1978
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag, New York Inc.
eBook ISBN
978-1-4684-0053-3
DOI
10.1007/978-1-4684-0053-3
Edition Number
1
Number of Pages
VIII, 319
Additional Information
Short version of volume 15 in the series: Applied Mathematical Sciences
Topics