Mathematical Modelling in One Dimension
An Introduction via Difference and Differential Equations
Part of AIMS Library of Mathematical Sciences
- Author: Jacek Banasiak, University of KwaZulu-Natal, South Africa
- Date Published: February 2013
- availability: Available
- format: Paperback
- isbn: 9781107654686
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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.
Read more- Reveals mathematics as a unifying way to describe phenomena ranging from finance, through biology and natural sciences, to engineering
- Moves away from the discrete-continuous modelling divide by placing equal emphasis on both
- Shows similarities and differences in the dynamical behaviour of difference and differential equations
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×Product details
- Date Published: February 2013
- format: Paperback
- isbn: 9781107654686
- length: 122 pages
- dimensions: 216 x 140 x 7 mm
- weight: 0.17kg
- contains: 25 b/w illus. 35 exercises
- availability: Available
Table of Contents
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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