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.
• 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
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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