1st Edition

Introduction to Elementary Computational Modeling
Essential Concepts, Principles, and Problem Solving




ISBN 9781439867396
Published October 26, 2011 by Chapman and Hall/CRC
329 Pages - 100 B/W Illustrations

USD $110.00

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Book Description

With an emphasis on problem solving, this book introduces the basic principles and fundamental concepts of computational modeling. It emphasizes reasoning and conceptualizing problems, the elementary mathematical modeling, and the implementation using computing concepts and principles. Examples are included that demonstrate the computation and visualization of the implemented models.

The author provides case studies, along with an overview of computational models and their development. The first part of the text presents the basic concepts of models and techniques for designing and implementing problem solutions. It applies standard pseudo-code constructs and flowcharts for designing models. The second part covers model implementation with basic programming constructs using MATLAB®, Octave, and FreeMat.

Aimed at beginning students in computer science, mathematics, statistics, and engineering, Introduction to Elementary Computational Modeling: Essential Concepts, Principles, and Problem Solving focuses on fundamentals, helping the next generation of scientists and engineers hone their problem solving skills.

Table of Contents

Each chapter includes a Summary, Key Terms, and Exercises

Understanding Problem Solving
Understanding Word Problems
Introduction
Nouns and Verbs
Problem Decomposition
The Language of Computational Problems
Objects
Problems with Many Numbers

Problem Solving and Computing
Introduction
Programs
Data Definitions
Programming Languages
Interpretation of Commands with MATLABR and Octave
Computer Problem Solving

MATLAB R and Octave Programming
Introduction
The MATLAB and Octave Prompt
Variables and Constants
Assignment statements
Simple Mathematical Expressions
Scientific Notation
Built-in Mathematical Functions
Internal Documentation

Computational Models
Introduction To Computational Models
Introduction
Preliminary Concepts
A Simple Problem: Temperature Conversion
Using MATLAB and Octave

Computational Models and Simulation
Introduction
Categories of Computational Models
Development of Computational Models
Simulation: Basic Concepts
Modular Decomposition
Average and Instantaneous Rate of Change
Area under a Curve
The Free-Falling Object

Algorithms and Design Structures
Introduction
Problem Solving
Algorithms
Describing Data
Notations for Describing Algorithms
Algorithmic Structures
Implementation of Algorithms
Computing Area and Circumference

Selection
Introduction
Selection Structure
Complex Numbers with MATLAB and Octave
A Computational Model with Selection
Multilevel Selection
Complex Conditions

Repetition
Introduction
Repetition with While Construct
Repeat-Until Construct
For Loop Structure

Data Lists
Introduction
Creating An Array
Operations on Arrays
Multidimensional Arrays
Applications Using Arrays
Average and Instantaneous Rate of Change
Area Under a Curve

Modules
Introduction
Modular Design
MATLAB and Octave Script Files
Functions
Documenting MATLAB and Octave Functions

Mathematical Models: Basic Concepts
Introduction
From the Real-World to the Abstract World
Discrete and Continuous Models
Difference Equations and Data Lists
Functional Equations
Validating a Model
Models with Arithmetic Growth
Using MATLAB and Octave to Implement the Model
Producing the Charts of the Model

Models with Quadratic Growth
Introduction
Quadratic Growth
Differences of the Data
Difference Equations
Functional Equations
Models with Quadratic Growth
Solution and Graphs of Quadratic Equations

Models with Polynomial Functions
Introduction
General Forms of Polynomial Functions
Evaluation and Graphs of Polynomial Functions
Solution to Polynomial Equations

Data Estimation and Empirical Modeling
Introduction
Interpolation
Curve Fitting

Models with Geometric Growth
Introduction
Basic Concepts of Geometric Growth
Functional Equations in Geometric Growth
Properties of Exponential Functions

Vectors and Matrices
Introduction
Vectors
Simple Vector Operations
Matrices
Array Indexing
Plotting Vectors

Text Data
Introduction
String Vectors
String Matrices

Advanced Data Structures
Introduction
Cell Arrays
Structures

The MATLAB and GNU Octave Software
Introduction
The MATLAB Components
The Desktop
Starting MATLAB
Exiting MATLAB
The Command Window
Current User Folder
The Startup Folder
Using Command Files (Scripts)
MATLAB Functions
GNU Octave

Computer Systems
Introduction
Computer Systems
Operating Systems
Summary

Key Terms
Bibliography

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Author(s)

Biography

Jose M. Garrido is Professor of Computer Science in the Department of Computer Science, Kennesaw State University, Georgia. He holds a Ph.D. from George Mason University in Fairfax, Virginia, an M.S.C.S also from George Mason University, an M.Sc. from University of London, and a B.S. in Electrical Engineering from Universidad de Oriente, Venezuela.

Dr. Garrido’s research interest is on: object-oriented modeling and simulation, multi-disciplinary computational modeling, formal specification of real-time systems, language design and processors, modeling systems performance, and software security. Dr. Garrido developed the Psim3, PsimJ, and PsimJ2 simulation packages for C++ and Java. He has recently developed the OOSimL, the Object Oriented Simulation Language (with partial support from NSF).

Dr. Garrido has published several papers in modeling and simulation, and on programming methods. He has also published six textbooks on objectoriented simulation and operating systems.

Reviews

… offers a solid first step into scientific and technical computing for those just getting started. … Through simple examples that are both easy to conceptualize and straightforward to express mathematically (something that isn’t trivial to achieve), Garrido methodically guides readers from problem statement and abstraction through algorithm design and basic programming. His approach offers those beginning in a scientific or technical discipline something unique; a simultaneous introduction to programming and computational thinking that is very relevant to the practical application of computing many readers will experience later in their academic training, or early in their professional career.
—John West, SIGHPC Connect Newsletter, Vol. 1, June 2012

The fundamental elements of computational modeling are introduced in this nice book. … targets undergraduate students in computer science and allied subjects such as statistics, mathematics, and engineering. The book should also be well received by teachers and other scientists associated with these disciplines.
Computing Reviews May 2012

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