Introduction To Numerical Methods

Bol Partner

Highly recommended by CHOICE, previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB (R) Approach, Third Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computer results so that the main steps are easily visualized and interpreted. New to the Third Edition A chapter on the numerical solution of integral equations A section on nonlinear partial differential equations (PDEs) in the last chapter Inclusion of MATLAB GUIs throughout the text The book begins with simple theoretical and computational topics, including computer floating point arithmetic, errors, interval arithmetic, and the root of equations. After presenting direct and iterative methods for solving systems of linear equations, the authors discuss interpolation, spline functions, concepts of least-squares data fitting, and numerical optimization. They then focus on numerical differentiation and efficient integration techniques as well as a variety of numerical techniques for solving linear integral equations, ordinary differential equations, and boundary-value problems. The book concludes with numerical techniques for computing the eigenvalues and eigenvectors of a matrix and for solving PDEs. CD-ROM Resource The accompanying CD-ROM contains simple MATLAB functions that help students understand how the methods work. These functions provide a clear, step-by-step explanation of the mechanism behind the algorithm of each numerical method and guide students through the calculations necessary to understand the algorithm. Written in an easy-to-follow, simple style, this text improves students' ability to master the theoretical and practical elements of the methods. Through this book, they will be able to solve many numerical problems using MATLAB.

Bol

Written primarily for students in mechanical engineering programs and designed to give them the math preparation they need to succeed in higher level courses, this volume introduces key theories, practical engineering-related examples, and relevant laboratory exercises to help students develop and test their knowledge. Written primarily for students in mechanical engineering programs and designed to give them the math preparation they need to succeed in higher level courses, Introduction to Numerical Methods introduces key theories, practical engineering-related examples, and relevant laboratory exercises to help students develop and test their knowledge. The book covers errors in computation, solving nonlinear equations with numerical techniques, matrixes and vectors, and complex numbers. The material also includes an introduction to linear programming problems and instruction in probability and statistics. Many of the exercises in the book suggest the use of a Ti-83/Ti-84 calculator, and tips for using the calculator successfully are integrated into the text. The second edition features significant updates throughout the text, including the addition of learning objectives at the start of each chapter, clarified and reorganized chapter exercises, and additional introductory and contextual information for key concepts to better frame students' understanding. This edition also has an appendix that includes a brief introduction of popular statistical software, Minitab. Introduction to Numerical Methods is a well-organized, useful addition to undergraduate course work in engineering programs.