1st Edition

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

By Jose Garrido Copyright 2012
    329 Pages 100 B/W Illustrations
    by Chapman & Hall

    330 Pages
    by Chapman & Hall

    Continue Shopping

    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.

    Each chapter includes a Summary, Key Terms, and Exercises

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

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

    MATLAB R and Octave Programming
    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
    Preliminary Concepts
    A Simple Problem: Temperature Conversion
    Using MATLAB and Octave

    Computational Models and Simulation
    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
    Problem Solving
    Describing Data
    Notations for Describing Algorithms
    Algorithmic Structures
    Implementation of Algorithms
    Computing Area and Circumference

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

    Repetition with While Construct
    Repeat-Until Construct
    For Loop Structure

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

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

    Mathematical Models: Basic Concepts
    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
    Quadratic Growth
    Differences of the Data
    Difference Equations
    Functional Equations
    Models with Quadratic Growth
    Solution and Graphs of Quadratic Equations

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

    Data Estimation and Empirical Modeling
    Curve Fitting

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

    Vectors and Matrices
    Simple Vector Operations
    Array Indexing
    Plotting Vectors

    Text Data
    String Vectors
    String Matrices

    Advanced Data Structures
    Cell Arrays

    The MATLAB and GNU Octave Software
    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
    Computer Systems
    Operating Systems

    Key Terms


    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.

    … 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