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Introduction to Mathematical Modeling

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ISBN-10: 048641180X

ISBN-13: 9780486411804

Edition: N/A

Authors: Edward A. Bender

List price: $16.95
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Description:

Employing a practical, "learn by doing" approach, this 1st-rate text fosters the development of the skills beyond pure mathematics needed to set up and manipulate mathematical models. From a diversity of fields - including science, engineering, and operations research - come over 100 reality-based examples. 1978 edition. Includes 27 black-and-white figures.
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Book details

List price: $16.95
Publisher: Dover Publications, Incorporated
Publication date: 3/6/2000
Binding: Paperback
Pages: 272
Size: 5.50" wide x 9.00" long x 0.50" tall
Weight: 0.594
Language: English

What is Modeling
Models and Reality
Properties of Models
Building a Model
An Example
Another Example
Problems
Why Study Modeling?
Elementary methods
Arguments from Scale
Effects of Size
Costs of Packaging
Speed of Racing Shells
Size Effects in Animals
Problems
Dimensional Analysis
Theoretical Background
The Period of a Perfect Pendulum
Scale Models of Structures
Problems
Graphical Methods
Using Graphs in Modeling
Comparative Statics
The Nuclear Missile Arms Race
Biogeography: Diversity of Species on Islands
Theory of the Firm
Problems
Stability Questions
Cobweb Models in Economics
Small Group Dynamics
Problems
Basic Optimization
Optimization by Differentiation
Maintaining Inventories
Geometry of Blood vessels
Fighting forest Fires
Problems
Graphical Methods
A Bartering Model
Changing Environment and Optimal Phenotype
Problems
Basic Probability
Analytic Models
Sex Preference and Sex Ratio
Making Simple Choices
Problems
Monte Carlo Simulation
A Doctor's Waiting Room
Sediment Volume
Stream Networks
Problems
A Table of 3000 Random Digits
Potpourri
Desert Lizards and Radiant Energy
Are Fair Election Procedures Possible?
Impaired Carbon Dioxide Elimination
Problems
More Advanced Methods
Approaches to Differential Equations
General Discussion
Limitations of Analytic Solutions
Alternative Approaches
Topics Not Discussed
Quantitative Differential Equations
Analytical Methods
Pollution of the Great Lakes
The Left Turn Squeeze
Long Chain Polymers
Problems
Numerical Methods
Towing a Water Skier
A Ballistics Problem
Problems
The Heun Method
Local Stability Theory
Autonomous systems
Differential Equations
Theoretical Background
Frictional Damping of a Pendulum
Species Interaction and Population Size
Keynesian Economics
More Complicated Situations
Problems
Differential-Difference Equations
The Dynamics of Car Following
Problems
Comments on Global Methods
Problem
More Probability
Radioactive Decay
Optimal Facility Location
Distribution of Particle Sizes
Problems Appendix
Some probabilistic Background
The Notion of Probability
Random Variables
Bernoulli Trials
Infinite Events Sets
The Normal Distribution
Generating Random Numbers
Least Squares
The Poisson and Exponential Distributions
References
A Guide to Model Topics
Index
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