Inside:
|
Numerical Methods for Engineers and Scientists Using MATLAB®3rd Edition
Author: Ramin EsfandiariPrefaceThe primary goal of this book is to provide the reader with a broad knowledge of the fundamentals of numerical methods utilized in various disciplines in engineering and science. The powerful software MATLAB®s introduced at the outset and is assimilated throughout the book to perform symbolic, graphical, and numerical tasks. The textbook, written at the junior/senior level, methodically covers a wide range of techniques ranging from curve fitting a set of data to numerically solving initial- and boundary-value problems. Each method is accompanied by at least one fully worked-out example, followed by either a user-defined function or a MATLAB script file. The book consists of 10 chapters. Chapter 1 presents an in-depth introduction to the essentials of MATLAB as related tonumerical methods. The chapter addresses fundamental features such as built-in functions and commands, formattingoptions, vector and matrix operations, program flow control, symbolic operations, and plotting capabilities. The readeralso learns how to write a user-defined function or a MATLAB script file to perform specific tasks. Chapter 2 covers introduction to numerical methods. This includes sources of computational error, approximations,iterative methods, and rates of convergence. Chapters 3 and 4 introduce numerical methods for solving equations. Chapter 3 focuses on finding roots of equations ofa single variable, while Chapter 4 covers methods for solving linear and nonlinear systems of equations. Chapter 5 is devoted to curve fitting and interpolation techniques. Chapter 6 discusses numerical differentiation andintegration methods. Chapters 7 and 8 present numerical methods for solving initial-value problems and boundary-valueproblems, respectively. Chapter 9 covers the numerical solution of the matrix eigenvalue problem, which entails techniques to approximate a fewor all eigenvalues of a matrix. Chapter 10 presents numerical methods for solving elliptic, parabolic and hyperbolic partial differential equations, specifically those that frequently arise in engineering and science. New to This Edition
Pedagogy of the BookThe book is very user-friendly, in an effort to make the material easy to understand by the reader. The following format is utilized throughout the book:
ExercisesA large set of problems/projects with various levels of difficulty is included at the end of each chapter, which can be
In many instances, the reader is asked to prepare a user-defined function or a script file that implements a specific Communication and FeedbackPlease contact the author at Ramin.Esfandiari@csulb.edu for questions and/or feedback regarding this book. |