Mathematical Modeling with Excel

ISBN-10: 076376566X
ISBN-13: 9780763765668
Edition: 2010
Authors: Brian Albright
List price: $93.95 Buy it from $13.07
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Description: Mathematical modeling is the use of applying mathematics to real-world problems and investigating important questions about their outcomes. Mathematical Modeling with Excel presents various methods used to build and analyze mathematical models in a  More...

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Book details

List price: $93.95
Copyright year: 2010
Publisher: Jones & Bartlett Learning, LLC
Publication date: 7/31/2009
Binding: Hardcover
Pages: 286
Size: 7.50" wide x 9.25" long x 0.75" tall
Weight: 1.694
Language: English

Mathematical modeling is the use of applying mathematics to real-world problems and investigating important questions about their outcomes. Mathematical Modeling with Excel presents various methods used to build and analyze mathematical models in a format that students can quickly comprehend. Excel is used as a tool to accomplish this goal of building and analyzing the models. Ideal for math and secondary math education majors, this text presents a wide variety of common types of models, as well as some new types, and presents each in a unique, easy-to-understand format. End-of-chapter exercises ask students to modify or refine the existing model, analyze it further, or adapt it to similar scenarios.

Preface
What is Mathematical Modeling?
Definitions
Purpose
The Process
Assumptions
For Further Reading
References
Proportionality and Geometric Similarity
Introduction
Using Data
Modeling with Proportionality
Fitting Straight Lines Analytically
Geometric Similarity
For Further Reading
References
Empirical Modeling
Introduction
Linearizable Models
Coefficient of Determination
Polynomials
Multiple Regression
Spline Models
For Further Reading
References
Discrete Dynamical Systems
Introduction
Long-Term Behavior and Equilibria
Growth of a Bacteria Population
A Linear Predator--Prey Model
A Nonlinear Predator--Prey Model
Epidemics
For Further Reading
References
Differential Equations
Introduction
Euler's Method
Quadratic Population Model
Volterra's Principle
Lanchester Combat Models
Eigenvalues
For Further Reading
References
Simulation Modeling
Introduction
Basic Examples
The Birthday Problem
Random Number Generators
Modeling Random Variables
Approximating Density Functions
A Theoretical Queuing Model
A Coffee Shop Queuing Model
A Scheduling Model
An Inventory Model
For Further Reading
References
Optimization
Introduction
Linear Programming
The Transportation Problem
The Assignment Problem and Binary Constraints
Solving Linear Programs
The Simple Method
Sensitivity Analysis
The Gradient Method
For Further Reading
References
Spreadsheet Basics
Basic Terminology
Entering Text, Data, and Formulas
Creating Charts and Graphs
Scroll Bars
Array Formulas
Built-In Functions
Index

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