Numerical Methods for Engineers and Scientists, Second Edition, [Hardcover]

Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book &a good, solid instructional text on the basic tools of numerical analysis. Introduction
. Objectives and Approach
. Organization of the Book
. Examples
. Programs
. Problems
. Significant Digits, Precision, Accuracy, Errors, and Number Representation
. Software Packages and Libraries
. The Taylor Series and the Taylor Polynomial

BASIC TOOLS OF NUMERICAL ANALYSIS
. Systems of Linear Algebraic Equations
. Eigenproblems
. Nonlinear Equations
. Polynomial Approximation and Interpolation
. Numerical Differentiation and Difference Formulas
. Numerical Integration

Systems of Linear Algebraic Equations
. Introduction
. Properties of Matrices and Determinants
. Direct Elimination Methods
. LU Factorization
. Tridiagonal Systems of Equations
. Pitfalls of Elimination Methods
. Iterative Methods
. Programs
. Summary
. Exercise Problems
Eigenproblems
. Introduction
. Mathematical Characteristics of Eigenproblems
. The Power Method
. The Direct Method
. The QR Method
. Eigenvectors
. Other Methods
. Programs Summary
. Exercise Problems
Nonlinear Equations
. Introducló(