9780534384784 Maki

Mathematical Modeling and Computer Simulation (Hardcover) – Maki/ Thompson

RM358.00

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Product Description

Learn to build and use mathematical models with MATHEMATICAL MODELING AND COMPUTER SIMULATION Through the description of mathematical and computer models in a variety of situations, this mathematics text helps you learn that model building is a dynamic process involving simplification, approximation, abstraction, analysis, computation, and comparison. Case studies illustrate how the model building process is applied to real life situations arising in a variety of settings, including business, genetics, population biology, and social science. An appendix on student projects provides you with a selection of classroom-tested projects with hints and suggestions for organizing project work and communicating results.

Table of Content

1. BASIC PRINCIPLES.
Overview of the Uses of the Term Model.
The Process of Constructing Mathematical Models.
Types of Mathematical Models.
A Classic Example.
Axiom Systems and Models.
Simulation Models.
Practical Aspects of Model Building.

2. MODEL BUILDING: SELECTED CASE STUDIES.
Introduction.
Mendelian Genetics.
Models for Growth Processes.
Social Choice.
Moving Mobile Homes.
A Stratified Population Model.
Simulations Models in Athletics, Marketing, and Population Studies.
Waiting in Line Again!
Estimating Parameters and Testing Hypotheses.

3. MARKOV CHAINS.
Introduction.
The Setting and Some Examples.
Basic Properties of Markov Chains.
Classification of Markov Chains and the Long-Range Behavior of Regular Markov-Chains.
Absorbing Chains and Applications to Ergodic Chains.

4. SIMULATION MODELS.
Introduction.
The Simulation Process.
Generating Values of Discrete Random Variables.
Discrete Event Simulation.
Generating Values of Continuous Random Variables.
Applications and Validation of Simulation Modeling.

5. LINEAR PROGRAMMING MODELS.
Introduction.
Formulation of Linear Programming Problems.
Linear Programming Problems and Duality.
Duality, Sensitivity, and Uncertainty.
An Example of Integer Programming: A Job Assignment Problem.
Networks and Flows.

Appendix A:
Addendum for Students and Teachers on Projects and Presentations.
Introduction.
The Roles of Projects and the Types Useful in Learning Model Buiding
Examples of Projects.
Reports and Presentations.
Evaluating Project Reports.
Sources of Projects.