Mathematical Modeling

Mathematical Modeling, 4th Edition

Mathematical Modeling, 4th Edition,Mark Meerschaert,ISBN9780123869128


Academic Press




229 X 152

A well-balanced survey of modeling methods with challenging cross-disciplinary problems and new examples

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Key Features

  • Offers increased support for instructors, including MATLAB material as well as other on-line resources
  • Features new sections on time series analysis and diffusion models
  • Provides additional problems with international focus such as whale and dolphin populations, plus updated optimization problems


The new edition of Mathematical Modeling, the survey text of choice for mathematical modeling courses, adds ample instructor support and online delivery for solutions manuals and software ancillaries.

From genetic engineering to hurricane prediction, mathematical models guide much of the decision making in our society. If the assumptions and methods underlying the modeling are flawed, the outcome can be disastrously poor. With mathematical modeling growing rapidly in so many scientific and technical disciplines, Mathematical Modeling, Fourth Edition provides a rigorous treatment of the subject. The book explores a range of approaches including optimization models, dynamic models and probability models.


Advanced undergraduate or beginning graduate students in mathematics and closely related fields. Formal prerequisites consist of the usual freshman-sophomore sequence in mathematics, including one-variable calculus, multivariable calculus, linear algebra, and differential equations. Prior exposure to computing and probability and statistics is useful, but is not required.

Mark 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

Affiliations and Expertise

Michigan State University, East Lansing, MI, USA

Mathematical Modeling, 4th Edition

1. One-Variable Optimization
2. Multivariable Optimization
3. Computational Methods for Optimization

4. Introduction to Dynamic Models
5. Analysis of Dynamic Models
6. Simulation of Dynamic Models

7. Introduction to Probability Models
8. Stochastic Models
9. Simulation of Probability Models

Quotes and reviews

"This book distinguishes itself from comparable texts by its broad treatment of the field. It offers an extensive survey of mathematical modeling problems and techniques that is organized into three big sections corresponding to optimization, dynamics and probability models."--MAA Reviews, March 19, 2014


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