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Mathematical Modeling Mark M. Meerschaert

Mathematical Modeling By Mark M. Meerschaert

Mathematical Modeling by Mark M. Meerschaert


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Summary

Covers the broad spectrum of modeling problems, from optimization to dynamical systems to stochastic processes. This textbook mirrors the process professionals must follow in solving complex problems. It provides support for instructors, including MATLAB material as well as other on-line resources.

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Mathematical Modeling Summary

Mathematical Modeling by Mark M. Meerschaert

Mathematical Modeling, Third Edition is a general introduction to an increasingly crucial topic for today's mathematicians. Unlike textbooks focused on one kind of mathematical model, this book covers the broad spectrum of modeling problems, from optimization to dynamical systems to stochastic processes. Mathematical modeling is the link between mathematics and the rest of the world. Meerschaert shows how to refine a question, phrasing it in precise mathematical terms. Then he encourages students to reverse the process, translating the mathematical solution back into a comprehensible, useful answer to the original question. This textbook mirrors the process professionals must follow in solving complex problems. Each chapter in this book is followed by a set of challenging exercises. These exercises require significant effort on the part of the student, as well as a certain amount of creativity. Meerschaert did not invent the problems in this book--they are real problems, not designed to illustrate the use of any particular mathematical technique. Meerschaert's emphasis on principles and general techniques offers students the mathematical background they need to model problems in a wide range of disciplines.

Mathematical Modeling Reviews

"I think this is the best book in its genre. I haven't been tempted to use another. The mathematics in it is interesting, useful, and still within reach of typical undergraduates." --John E. Doner, Department of Mathematics, University of California-Santa Barbara

About Mark M. Meerschaert

Mark M. Meerschaert is Chairperson of the Department of Statistics and Probability at Michigan State University and Adjunct Professor in the Department of Physics at the University of Nevada, having previously worked in government and industry roles on a wide variety of modeling projects. Holding a doctorate in Mathematics from the University of Michigan, Professor Meerschaert's expertise spans the areas of probability, statistics, statistical physics, mathematical modeling, operations research, partial differential equations, and hydrology. In addition to his current appointments, he has taught at the University of Michigan, Albion College, and the University of Otago, New Zealand. His current research interests include limit theorems and parameter estimation for infinite variance probability models, heavy tail models in finance, modeling river flows with heavy tails and periodic covariance structure, anomalous diffusion, continuous time random walks, fractional derivatives and fractional partial differential equations, and ground water flow and transport. For more, see http://www.stt.msu.edu/~mcubed

Table of Contents

I. OPTIMIZATION MODELS 1. One-Variable Optimization 2. Multivariable Optimization 3. Computational Methods for Optimization II. DYNAMIC MODELS 4. Introduction to Dynamic Models 5. Analysis of Dynamic Models 6. Simulation of Dynamic Models III. PROBABILITY MODELS 7. Introduction to Probability Models 8. Stochastic Models 9. Simulation of Probability Models

Additional information

CIN0123708575G
9780123708571
0123708575
Mathematical Modeling by Mark M. Meerschaert
Used - Good
Hardback
Elsevier Science Publishing Co Inc
2007-08-14
352
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

Customer Reviews - Mathematical Modeling