| Description |
1 online resource (x, 110 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
AIMS library series
|
|
AIMS library series.
|
| Bibliography |
Includes bibliographical references and index. |
| Summary |
Uses a wide variety of applications to demonstrate the universality of mathematical techniques in describing and analysing natural phenomena. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Mathematical models.
|
|
Mathematical models. |
|
Difference equations.
|
|
Difference equations. |
|
Differential equations.
|
|
Differential equations. |
| Genre/Form |
Electronic books.
|
|
Electronic book.
|
| Other Form: |
Print version: Banasiak, Jacek. Mathematical Modelling in One Dimension. Cambridge : Cambridge University Press, 2013 9781107654686 |
| ISBN |
9781107314825 (electronic book) |
|
1107314828 (electronic book) |
|
9781139565370 (electronic book) |
|
1139565370 (electronic book) |
|
9781107309272 |
|
1107309271 |
|
9781107654686 |
|
1107654688 |
|
9781299276383 |
|
1299276385 |
|
