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More About This Textbook
Overview
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.
What People Are Saying
From the Publisher
… 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
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Meet the Author
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.
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