Synopsis:
Mathematical modeling is the process of solving a "real world" problem using mathematical methods. This book takes a practical approach toward the solution of a variety of real problems such as docking two vehicles in space, growth rate of an infectious disease, and wildlife management, while introducing the necessary, rigorous mathematical techniques required for a reasonable solution. The book employs a uniform problem-solving methodology consistently in the three major areas of optimisation, dynamic systems, and stochastic processes. Computer programs, calculators, and graphics are used where appropriate.
* Chapters followed by challenging exercises
* Emphasizes the use of appropriate technology for solving mathematical problems.
* Discusses computer algebra systems, graphics, and numerical methods.
From the Back Cover:
The Second Edition of this popular text offers a unique approach to mathematical modeling. Meerschaert offers an inviting introduction and applies a problem-solving methodology in the three major areas of optimization, dynamical systems, and stochastic processes.
This edition takes a practical approach toward the solution of a variety of real problems including docking two vehicles in space, the growth rate of an infectious disease, and wildlife management. Rigorous mathematical techniques required for a reasonable solution are introduced as necessary.
Key Features Include:
* A large collection of real-world problems
* An integration of computer outputs from the latest versions of Mathematica, Maple, Lindo, Minitab
* A systematic five-step modeling method
* Applies calculus, differential equations, linear algebra, and probability
New To This Edition:
* Material on discrete modeling, including integer programming
* Extended treatment on chaos and fractals
* Additional material on linear programming, including the use of spreadsheet tools
* More applications in probability and statistics
Reviewer Comments:
"The author is very clear and careful in his presentation. The exercises are excellent. The examples are one of the strongest features. Honestly, I have not considered using any other text for my course."
--Blaise Morton, University of Minnesota
"It is the best modeling book for this audience that I have found. I find that Meerschaert's idea of an undergraduate course in modeling is very close to how I think such a course should run."
--W. George Cochran, Louisiana State University
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