Numerical Methods with MATLAB

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.

New To This Edition
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.

• 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
  
  From the back cover:
  
  A clear and concise guide to numerical methods and their application

  Mastering numerical methods has never been easier than with Gilat/Subramaniam‘s Numerical Methods For Engineers and Scientists: An Introduction with Applications Using MATLAB. Uniquely accessible and concise, this book takes an innovative approach that integrates the study of numerical methods with hands–on programming practice using the popular MATLAB environment to solve realistic problems in engineering and science.

  Ideal for both students and professionals who would like to become more adept at numerical methods, Numerical MethodsFor Engineers and Scientists familiarizes you with:

  • The mathematical background and fundamentals of numerical methods
  • Solving  nonlinear equations
  •  Solving a system of linear equations
  • Eigenvalues and Eigenvectors
  • Function approximation, curve fitting, and interpolation
  • Differentiation
  • Integration
  • First–order and higher–order ODEs
  • Initial and boundary value problems

  Using MATLAB‘s built–in functions as tools for solving problems, you will practice applying numerical methods for analysis of real–world problems. All the information is presented in manageable, step–by–step fashion, supported by a large number of annotated examples and end–of–chapter problems.

  Lucid, carefully structured, and flexibly designed to fulfill a wide range of academic and practical needs, this book will help you develop the skills in numerical methods that will serve you well as a practicing engineer. ––This text refers to an alternate Hardcover edition.

  
  
  About the Author:
  
  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.

   

   

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