Introduction to Mathematical Modeling 1st Edition by Mayer Humi ISBN 9781498728003 978-1498728003

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Product details:

ISBN 10: 9781498728003 

ISBN 13: 978-1498728003

Author:  Mayer Humi

Introduction to Mathematical Modeling helps students master the processes used by scientists and engineers to model real-world problems, including the challenges posed by space exploration, climate change, energy sustainability, chaotic dynamical systems and random processes.

Primarily intended for students with a working knowledge of calculus but minimal training in computer programming in a first course on modeling, the more advanced topics in the book are also useful for advanced undergraduate and graduate students seeking to get to grips with the analytical, numerical, and visual aspects of mathematical modeling, as well as the approximations and abstractions needed for the creation of a viable model.

Table of contents: 

1. The Process of Mathematical Modeling

2. Modeling with Ordinary Differential Equations

3. Solutions of Systems of ODEs

4. Stability Theory

5. Bifurcations and Chaos

6. Perturbations

7. Modeling with Partial Differential Equations

8. Solutions of Partial Differential Equations

9. Variational Principles

10. Modeling Fluid Flow

11. Modeling Geophysical Phenomena

12. Stochastic Modeling

13. Answers to Problems

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Tags: Mayer Humi, Introduction, Mathematical Modeling