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9780534420857

The Active Modeler Mathematical Modeling with Microsoft Excel

by ;
  • ISBN13:

    9780534420857

  • ISBN10:

    0534420850

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2003-12-11
  • Publisher: Duxbury Press
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List Price: $249.99

Summary

This is a hands-on introduction to modeling a wide variety of applications in Microsoft Excel. It features numerous tutorials and applications to illustrate how to model and solve problems in Excel. Neuwirth and Arganbright offer a more accessible and hands-on alternative than do other modeling books. Illustrated examples provide instruction in concepts, applications, and methods of solving them.

Table of Contents

Introduction
1. INTRODUCTORY MODELS
Fibonacci Numbers
Growth Models
Extended Growth Models
Comparing Different Growth Models
2. DYNAMICAL MODELS AND DIFFERENCE EQUATIONS
Simple Epidemics
Harvesting
Population Dynamics
A Predator Prey Model
Iterated Maps and Functions
Sierpinski Triangle
3. PHYSICS APPLICATIONS
Simple Projectile Motion
Projectile Motion with Air Resistance
Planetary Orbit: Half Step Method
Epicycloid: Loop Free or Convex Moon Orbit
Heat Propagation
4. NUMBER THEORY
Decimal Expansions
Greatest Common Divisor
Prime Numbers: Sieve of Eratosthenes
5. FUNCTIONS, GRAPHING, AND CALCULUS
Graphing I: Functions of One Variable
Graphing II: Polar and Parametric Equations
Bezier Curves
Derivatives
Bisection Method
Newton's Method
Fitting Curves to Data (Polynomial Interpolation)
6. CREATIVE MATHEMATICS IN EVERYDAY SETTINGS
A Bicycle Investigation
Ski Racing
Birthday Problem
Golden Ratio
Paper Formats
Bridge Location
Game of Life
7. SOCIETAL APPLICATIONS
Legislative Apportionment
Drug Administration Strategy
Restock of Inventory
Birth Control
Genetics (Hardy-Weinberg Law)
Simulation
Appendix

Supplemental Materials

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