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Differential Equations and Their Applications: Short Version
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.
Book Details
- Publisher: Springer
- Publish Date: Jan 19th, 2012
- Pages: 328
- Language: English
- Edition: undefined - undefined
- Dimensions: 9.21in - 6.14in - 0.69in - 1.01lb
- EAN: 9781468400557
- Categories: • Calculus• Mathematical Analysis
More books by M. Braun
What people are saying
Dr. Steve Keen
@ProfSteveKeen
2 years
Help me build a new economics by supporting me on either Patreon or Substack. Debunking Economics, Minsky.
@SocialistAdam @blair_fix As for my approach, the methods you need are in the previous tweet. Best book on ODEs is Martin Braun, Ordinary Differential Equations and their Applications. In System Dynamics , download my Minsky manual from https://t.co/IFYnFhDEIo
What people are saying
Dr. Steve Keen
@ProfSteveKeen
2 years
Help me build a new economics by supporting me on either Patreon or Substack. Debunking Economics, Minsky.
@SocialistAdam @blair_fix As for my approach, the methods you need are in the previous tweet. Best book on ODEs is Martin Braun, Ordinary Differential Equations and their Applications. In System Dynamics , download my Minsky manual from https://t.co/IFYnFhDEIo