This book is a unique blend of difference equations theory and its exciting applications to economics. It deals with not only theory of linear (and linearized) difference equations, but also nonlinear dynamical systems which have been widely applied to economic analysis in recent years. It studies most important concepts and theorems in difference equations theory in a way that can be understood by anyone who has basic knowledge of calculus and linear algebra. It contains well-known applications and many recent developments in different fields of economics. The book also simulates many models to illustrate paths of economic dynamics.
Key Features:
В·A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics. В·Mathematical definitions and theorems are introduced in a systematic and easily accessible way. В·Examples are from almost all fields of economics; technically proceeding from basic to advanced topics. В·
Author(s): Wei-Bin Zhang (Eds.)
Series: Mathematics in Science and Engineering 204
Edition: 1
Publisher: Elsevier Science
Year: 2006
Language: English
Pages: 1-448
Content:
Preface
Pages v-vi
Wei-Bin Zhang
Chapter 1 Difference equations in economics Original Research Article
Pages 1-11
Chapter 2 Scalar linear difference equations Original Research Article
Pages 13-77
Chapter 3 One-dimensional dynamical economic systems Original Research Article
Pages 79-134
Chapter 4 Time-dependent solutions of scalar systems Original Research Article
Pages 135-183
Chapter 5 Economic bifurcations and chaos Original Research Article
Pages 185-225
Chapter 6 Higher dimensional difference equations Original Research Article
Pages 227-303
Chapter 7 Higher dimensional economic dynamics Original Research Article
Pages 305-383
Chapter 8 Epilogue Original Research Article
Pages 385-390
Appendix
Pages 391-426
Bibliography
Pages 427-437
Index
Pages 439-448
