EVERYDAY FREE SHIPPING on $25 & up - Excludes marketplace items & rentals.
EVERYDAY FREE SHIPPING on $25 & up - Excludes marketplace items & rentals.
EVERYDAY FREE SHIPPING on $25 & up - Excludes marketplace items & rentals
Search
First Course in Mathematical Modeling / With CD

First Course in Mathematical Modeling / With CD - 3rd edition

ISBN13: 978-0534384289

Cover of First Course in Mathematical Modeling / With CD 3RD 03 (ISBN 978-0534384289)
ISBN13: 978-0534384289
ISBN10: 0534384285
Cover type:
Edition/Copyright: 3RD 03
Publisher: Brooks/Cole Publishing Co.
Published: 2003
International: No

USED
Sold Out
FREE Shipping on $25+
  • Check back soon!
  • 30-Day Returns
  • Condition: Very Good
Sold Out
More Shipping Options

First Course in Mathematical Modeling / With CD - 3RD 03 edition

ISBN13: 978-0534384289

Frank R. Giordano, Maurice D. Weir and William P. Fox

ISBN13: 978-0534384289
ISBN10: 0534384285
Cover type:
Edition/Copyright: 3RD 03
Publisher: Brooks/Cole Publishing Co.

Published: 2003
International: No
Summary

This text provides an introduction to the entire modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem solving process to enhance a student's problem solving capabilities. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible, beginning with short projects, the book facilitates their progressive development and confidence in mathematics and modeling.

Benefits:

  • NEW! Includes a CD-ROM, packaged free with the text, that contains software, additional modeling scenarios, projects, and past problems from the Mathematical Contest in Modeling.
  • Motivates students to study advanced courses such as linear algebra, differential equations, optimization and linear programming, numerical analysis, probability, and statistics by familiarizing them with the power and utility of these subjects.
  • NEW! Provides new scenarios, examples, and exercises throughout the text.
  • NEW! Contains numerical, graphical, and analytic solutions in the opening chapter, , MODELING WITH DISCRETE DYNAMICAL SYSTEMS.
  • NEW! Demonstrates how modern applied mathematics is facilitated by technology, including discrete dynamical systems, discrete optimization, and simulation.
  • NEW! The authors' lab sheets are available online under Instructor Resources at the Brooks/Cole Mathematics Resource Center Web site (www.brookscole.com/mathematics).
  • Enhances a student's problem solving capabilities with a six-step problem-solving process: problem identification, model construction or selection, identification and collection of data, model validation, calculation of solutions to the model, and model implementation and maintenance.
  • Emphasizes model construction to promote student creativity and to demonstrate the artistic nature of model building, including the ideas of experimentation and simulation.
  • Blends mathematical modeling techniques with the more creative aspects of modeling for variety and confidence building, and gradually transitions to the more difficult creative aspects.
  • Includes individual and group projects in creative and empirical model construction, model analysis, and model research.

Author Bio

Giordano, Frank R. : (Retired )


Weir, Maurice D. :


Fox, William P. : West Point

Table of Contents

1. MODELING WITH DISCRETE DYNAMICAL SYSTEMS

Modeling Change with Difference Equations
Approximating Change with Difference Equations
Solutions to Dynamical Systems
Systems of Difference Equations

2. THE MODELING PROCESS, PROPORTIONALITY AND GEOMETRIC SIMILARITY

Mathematical Models
Modeling Using Proportionality
Modeling Using Geometric Similarity
Automobile Gasoline Mileage
Body Weight and Height, Strength and Agility

3. MODEL FITTING

Fitting Models to Data Graphically
Analytic Methods of Model Fitting
Applying the Least-Squares Criterion
Choosing a Best Model

4. EXPERIMENTAL MODELING

Harvesting in the Chesapeake Bay and Other One-Term Models
High-Order Polynomial Models
Smoothing: Low-Order Polynomial Models
Cubic Spline Models

5. SIMULATION MODELING

Simulation Deterministic Behavior: Area under a Curver
Generating Random Numbers
Simulating Probabilistic Behavior
Inventory Model: Gasoline and Consumer Demand
Queuing Models

6. CRETE PROBABILITY MODELING

Probabilistic Modeling With Discrete Systems
Modeling Component and System Reliability
Linear Regression

7. DISCRETE OPTIMIZATION MODELING LINEAR PROGRAMMING AND NUMERICAL SEARCH METHODS

An Overview of Discrete Optimization Modeling
Linear Programming I: Geometric Solutions
Linear Programming II: Algebraic Solutions
Linear Programming III: The Simplex Method
Linear Programming IV: Sensitivity Analysis
Numerical Search Methods

8. DIMENSIONAL ANALYSIS AND SIMILITUDE

Dimensions as Products
The Process of Dimensional Analysis
A Damped Pendulum
Examples Illustrating Dimensional Analysis
Similitude

9. GRAPHS OF FUNCTIONS AS MODELS

An Arms Race
Modeling an Arms Race in Stages
Managing Nonrenewable Resources: The Energy Crisis
Effects of Taxation on the Energy Crisis
A Gasoline Shortage and Taxation

10. MODELING WITH SYSTEMS OF DIFFERENTIAL EQUATION

Population Growth
Prescribing Drug Dosage
Braking Distance Revisited
Graphical Solutions of Autonomous Differential Equations
Numerical Approximation Methods

11. MODELING WITH SYSTEMS OF DIFFERENTIAL EQUATIONS

Graphical Solutions of Autonomous Systems of First-Order Differential Equations
A Competitive Hunter Model
A Predator-Prey Model
Two Military Examples
Euler's Method for Systems of Differential Equations

12. CONTINUOUS OPTIMIZATION MODELING

An Inventory Problem: Minimizing the cost of Delivery and Storage
A Manufacturing Problem: Maximizing Profit in Producing Competing Products
Constrained Continuous Optimization
Managing Renewable Resources: The Fishing Industry
Appendix A: Problems from the Mathematics Contest in Modeling 1985-1996 (also available on accompanying CD)
Appendix B: An Algorithm for an Elevator Simulation Model
Appendix C: The Revised Simplex Method

List price: $0.00
  • Marketplace
  • From
More Shipping Options