Elementary Mathematical Modeling A Dynamic Approach

Name: Elementary Mathematical Modeling A Dynamic Approach
Price: 6.37 USD
Availability: InStock
ISBN: 9780534378035

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…

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