Mathematical Modelling in One Dimension
An Introduction via Difference and Differential Equations

Uses a wide variety of applications to demonstrate the universality of mathematical techniques in describing and analysing natural phenomena.

Jacek Banasiak (Author)

9781107654686, Cambridge University Press

Paperback / softback, published 21 February 2013

122 pages, 25 b/w illus. 35 exercises
21.6 x 14 x 0.7 cm, 0.17 kg

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.

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.

Subject Areas: Mathematical modelling [PBWH], Differential calculus & equations [PBKJ], Mathematics [PB]