Synopses & Reviews
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
Review
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 modelling book for this audience that I have found. I find that Meerschaert's idea of an undergraduate course in modelling is very close to how I think a course should run."
-W. George Cochan, Louisiana State University
Synopsis
Mathematical Modeling, Second Edition, offers a unique approach to mathematical modeling by providing an inviting overview, and applying problem-solving methodology throughout concerning three major areas: optimization, dynamical systems, and stochastic processes. Providing a thorough revision, the author 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. Rigorous mathematical techniques required for reasonable solutions are introduced as necessary.
* 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
Synopsis
Mathematical Modeling, Second Edition, offers a unique approach to mathematical modeling by providing an inviting overview, and applying problem-solving methodology throughout concerning three major areas: optimization, dynamical systems, and stochastic processes. Providing a thorough revision, the author 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. Rigorous mathematical techniques required for reasonable solutions are introduced as necessary.
* 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
* Additionalmaterial on linear programming, including the use of spreadsheet tools
* More applications in probability and statistics
Synopsis
ial 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
Table of Contents
Optimization Models
One-Variable Optimization
Multivariable Optimization
Computational Methods of Optimization
Dynamic Modeling
Introduction to Dynamic Models
Analysis of Dynamic Models
Simulation of Dynamic Models
Probability Models
Introduction to Probability Models
Stochastic Models
Simulation of Probability Models
Afterword
Index