Mathematical modelling in one dimension : an introduction via difference and differential equations
著者
書誌事項
Mathematical modelling in one dimension : an introduction via difference and differential equations
（AIMS library series）
Cambridge University Press, 2013
- : pbk
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注記
Includes references (p. 109) and index
内容説明・目次
内容説明
Mathematical Modelling in One Dimension demonstrates the universality of mathematical techniques through a wide variety of applications. Learn how the same mathematical idea governs loan repayments, drug accumulation in tissues or growth of a population, or how the same argument can be used to find the trajectory of a dog pursuing a hare, the trajectory of a self-guided missile or the shape of a satellite dish. The author places equal importance on difference and differential equations, showing how they complement and intertwine in describing natural phenomena.
目次
- 1. Mathematical toolbox
- 2. Basic difference equations models and their analysis
- 3. Basic differential equations models
- 4. Qualitative theory for a single equation
- 5. From discrete to continuous models and back
- Bibliography
- Index.
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