Textbook

Numerical Methods with MATLAB 2e

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Gilat's text presents the fundamentals of numerical methods with emphasis on the most essential and widely used methods. Students enhance their programming skills using the MATLAB environment to implement algorithms. The goals of the book s problems are three-fold: to improve the understanding of numerical methods, to provide the opportunity to improve programming skills, and to use MATLAB as a tool for solving realistic problems in engineering and science. Designed for the newest version of the popular MATLAB, plus its brevity and accessibility, makes Numerical Methods the perfect introduction to numerical methods or second- or third-year students.

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Table of Contents

Preface.

Chapter 1 Introduction.

Chapter 2 Mathematical Background.

Chapter 3 Solving Nonlinear Equations.

Chapter 4 Solving a System of Linear Equations.

Chapter 5 Curve Fitting and Interpolation.

Chapter 6 Numerical Differentiation.

Chapter 7 Numerical Integration.

Chapter 8 Ordinary Differential Equations: Initial-Value Problems.

Chapter 9 Ordinary Differential Equations: Boundary-Value Problems.

Appendix A Introductory MATLAB.

Appendix B MATLAB Programs.

Index.

Author Information

Amos Gilat, Ph.D., is Professor of Mechanical Engineering at The Ohio State University. Dr. Gillat’s main research interests are in plasticity, specifically, in developing experimental techniques for testing materials over a wide range of strain rates and temperatures and in investigating constitutive relations for viscoplasticity. Dr. Gilat’s research has been supported by the National Science Foundation, NASA, Federal Aviation Administration, Department of Defense, and various industries.

Vish Subramaniam, Ph.D., is a Professor of Mechanical Engineering & Chemical Physics at The Ohio State University. Dr. Subramaniam’s main research interests are in cancer detection and imaging, plasma and laser physics and processes, particularly those that involve non-equilibirum phenomena. Dr. Subramaniam’s research is both experimental and computational, and has been supported by The Department of Defense, National Science Foundation, and numerous industries.

New To This Edition

Content

MATLAB coverage in book up-to-date with latest version of software

Examples

Includes nearly 50% new and updated examples with a focus on practical applications of Numerical Methods and examples that build on previously learned elements

Homework Problems

Increased number of end-of-chapter problems to approximately 40 per chapter.
50% of end-of-chapter problems have been revised.

Hallmark Features

Concise presentation of numerical methods written for the beginner

Presents core information in manageable chunks for the student without overwhelming them with detail
Material is appropriate for 2^nd and 3^rd year students and professionals unfamiliar with Numerical Methods

Text includes many examples and end-of-chapter problems to help students learn numerical methods

Three levels of homework problems address applying numerical methods techniques with traditional pencil and paper and with MATLAB see end-of-chapter problem sets
Realistic applications from engineering and science motivate students

Flexible format addresses needs of various types of courses and students

Beginning students develop mastery by focusing on Core Topics sections
Supplementary Topics allow students to advance their knowledge of core material
Instructors have the flexibility to adjust objectives to the level of their course

Professor Reviews

"I think it's a really excellent numerical methods book and it will fill that niche very well, especially at the undergrad level."- Professor Richard Ulrich, University of Arkansas

"Great Matlab book for integrating numerical methods into engineering curriculums."- Professor Jing Zhang, University of Alaska Fairbanks

"This text is written in a beautiful style, very concise and easily understood for a beginner s course in Numerical Methods."- Professor David Mandelbaum, DeVry University

"The authors have done a superb job by integrating Numerical methods and MATLAB programming. The explanations are crystal clear and precise." - Professor Swamy Basim, Central Connecticut State University