Introduction to Mathematical Modeling Using Discrete Dynamical Systems

Name: Introduction to Mathematical Modeling Using Discrete Dynamical Systems
Price: 25.98 USD
Availability: InStock
ISBN: 9780495014171

ISBN-10: 0495014176

ISBN-13: 9780495014171

Edition: 2006

Authors: Frederick R. Marotto

List price: $359.95

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Using discrete dynamical systems, this book introduces powerful mathematical modeling techniques, both standard analytical and modern computational, to students in mathematics, the natural sciences, and the social sciences. With minimal mathematical background, students will quickly progress from the traditional study of exponential growth and decay that simple linear equations always exhibit, to an investigation of recently discovered chaotic dynamics often associated with nonlinear systems. A wide diversity of applications demonstrates the usefulness and relevance of topics that have often been viewed as excessively theoretical or abstract, such as sequences, limits, linear algebra,…

Book details

List price: $359.95
Copyright year: 2006
Publisher: Brooks/Cole
Publication date: 8/4/2005
Binding: Hardcover
Pages: 400
Size: 7.25" wide x 9.25" long x 0.75" tall
Weight: 1.584
Language: English




Mathematical Modeling and Dynamical Systems


Modeling Reality


Discrete Dynamical Systems



Linear Equations and Models


Some Linear Models


Linear Equations and Their Solutions


Homogenous Equations and Their Applications


Solutions of Non-Homogenous Equations


Applications of Non-Homogenous Equations


Dynamics of Linear Equations


Empirical Models and Linear Regression



Nonlinear Equations and Models


Some Nonlinear Models


Autonomous Equations and Their Dynamics


Cobwebbing, Derivatives and Dynamics


Some Mathematical Applications


Periodic Points and Cycles


Parameterized Families


Bifurcation and Period-Doubling


Chaos



Modeling With Linear Systems


Some Linear Systems Models


Linear Systems and Their Dynamics


Some Vector and Matrix Arithmetic


Stability and Eigenvalues


Repeated Real Eigenvalues


Complex Numbers and Their Arithmetic


Complex Eigenvalues


Non-Homogenous Systems



Modeling with Nonlinear Systems


Nonlinear Systems and Their Dynamics


Linearization and Local Dynamics


Bifurcation and Chaos


Fractals


Appendix


Answers to Odd-Numbered Exercises


Bibliography


Index