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Introduction to Mathematical Modeling Using Discrete Dynamical Systems Frederick R. Marotto

Introduction to Mathematical Modeling Using Discrete Dynamical Systems By Frederick R. Marotto

Introduction to Mathematical Modeling Using Discrete Dynamical Systems by Frederick R. Marotto


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Summary

A mathematics text that introduces powerful mathematical modeling techniques while providing you with the tools you need to succeed. It includes exercises with answers, suggested computer projects with specific instructions for their completion, and coverage of research, such as dynamical systems.

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Introduction to Mathematical Modeling Using Discrete Dynamical Systems Summary

Introduction to Mathematical Modeling Using Discrete Dynamical Systems by Frederick R. Marotto

This mathematics text introduces powerful mathematical modeling techniques while providing you with the tools you need to succeed. Exercises with answers, suggested computer projects with specific instructions for their completion, and the book-specific website are just a few of the tools that will help you master the material. Coverage of current research, such as dynamical systems, shows you that mathematics is a vibrant and evolving discipline.

About Frederick R. Marotto

Frederick R. Marotto is Associate Professor of Mathematics at Fordham University.

Table of Contents

1. MATHEMATICAL MODELING AND DYNAMICAL SYSTEMS. Modeling Reality. Discrete Dynamical Systems. 2. 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. 3. 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. 4. 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. 5. 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.

Additional information

CIN0495014176G
9780495014171
0495014176
Introduction to Mathematical Modeling Using Discrete Dynamical Systems by Frederick R. Marotto
Used - Good
Hardback
Cengage Learning, Inc
20050804
400
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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