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Elementary Mathematical Modeling A Dynamic Approach

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ISBN-10: 053437803X

ISBN-13: 9780534378035

Edition: 2003

Authors: James T. Sandefur

List price: $299.95
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Description:

ELEMENTARY MATHEMATICAL MODELING uses mathematics to study problems arising in areas such as Genetics, Finance, Medicine, and Economics. Throughout the course of the book, students learn how to model a real situation, such as testing levels of lead in children or environmental cleanup. They then learn how to analyze that model in relationship to the real world, such as making recommendations for minimum treatment time for children exposed to lead paint or determining the minimum time required to adequately clean up a polluted lake. Often the results will be counterintuitive, such as finding that an increase in the rate of wild-life harvesting may actually decrease the long-term harvest, or…    
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Book details

List price: $299.95
Copyright year: 2003
Publisher: Brooks/Cole
Publication date: 11/11/2002
Binding: Hardcover
Pages: 436
Size: 8.00" wide x 9.25" long x 0.75" tall
Weight: 1.540
Language: English

Introduction to Modeling
Introduction to Dynamical Systems
Examples of Modeling
Affine Dynamical Systems
Parameters
Financial Models
Analysis of Dynamical Systems
Introduction to Analysis
Equilibrium
Stability
Ratios and Proportional Change
Stable Distributions
Cycles
Function Approach
Introduction to Function Approach
Linear Functions
Exponential Functions
Exponential Growth and Decay
Translations of Exponential Functions
Curve Fitting
Higher Order Dynamical Systems
Introduction to Higher Order Dynamical Systems
Counting Sets
Introduction to Probability
The Gambler's Ruin
Analyzing Higher Order Dynamical Systems
An Economic Model
Controlling an Economy
Exponential and Trigonometric Functions
Nonlinear Dynamical Systems
Introduction
The Dynamics of Alcohol
Stability
Web Analysis
Population Dynamics
Introduction to Population Growth
The Logistic Model for Population Growth
Nonlinear Growth Rates
Graphical Approach to Harvesting
Analytic Approach to Harvesting
Economics of Harvesting
Genetics
Introduction to Population Genetics
Basics of Genetics
Mutation
Selection
Answers to Odd Exercises
Index