Mathematical Modeling

Mathematical Modeling

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Description

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.
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Product details

  • Hardback | 352 pages
  • 152.4 x 226.06 x 22.86mm | 566.99g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 3rd edition
  • Approx. 310 illustrations; Illustrations, unspecified
  • 0123708575
  • 9780123708571
  • 2,117,182

Review quote

"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
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About Mark M. Meerschaert

Mark M. Meerschaert is Chairperson of the Department of Statistics and Probability at Michigan State University and an Adjunct Professor in the Department of Physics at the University of Nevada. Professor Meerschaert has professional experience in the areas of probability, statistics, statistical physics, mathematical modeling, operations research, partial differential equations, ground water and surface water hydrology. He started his professional career in 1979 as a systems analyst at Vector Research, Inc. of Ann Arbor and Washington D.C., where he worked on a wide variety of modeling projects for government and industry. Meerschaert earned his doctorate in Mathematics from the University of Michigan in 1984. He has taught at the University of Michigan, Albion College, Michigan State University, the University of Nevada in Reno, and the University of Otago in Dunedin, 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 details, see his personal web page http://www.stt.msu.edu/~mcubed
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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
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Review Text

"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 "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
show more

Rating details

11 ratings
3.81 out of 5 stars
5 18% (2)
4 45% (5)
3 36% (4)
2 0% (0)
1 0% (0)
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