Mathematical modelling in one dimension : an introduction via difference and differential equations / Jacek Banasiak.

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

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Bibliographic Details
Main Author:	Banasiak, J.
Format:	eBook
Language:	English
Published:	Cambridge : Cambridge University Press, 2013.
Series:	AIMS library series.
Subjects:	Mathematical models. Difference equations. Differential equations. mathematical models. MATHEMATICS > General. Ecuaciones diferenciales Differential equations, Nonlinear Difference equations Differential equations Mathematical models Electronic book.
Online Access:	Click for online access

Table of Contents:

Cover; Contents; Preface; 1 Mathematical toolbox; 1.1 Difference equations; 1.2 Differential equations
an introduction; 1.3 Some equations admitting closed form solutions; 1.4 The Cauchy problem
existence and uniqueness; 2 Basic difference equations models and their analysis; 2.1 Difference equations of financial mathematics; 2.2 Difference equations of population theory; 2.3 Some applications of discrete population models; 2.4 Some explicitly solvable nonlinear models; 3 Basic differential equations models; 3.1 Equations related to financial mathematics; 3.2 Radiocarbon dating.
3.3 Differential equations for population models3.4 Equations of motion: second-order equations; 3.5 Equations arising from geometrical modelling; 4 Qualitative theory for a single equation; 4.1 Equilibria of first-order equations; 4.2 Equilibrium points of difference equations; 5 From discrete to continuous models and back; 5.1 Discretizing differential equations; 5.2 Discrete equations in continuous time models; 5.3 Stability of differential and difference equations; References; Index.

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