ABSTRACT

Numerical Methods and Methods of Approximation in Science and Engineering prepares students and other readers for advanced studies involving applied numerical and computational analysis. Focused on building a sound theoretical foundation, it uses a clear and simple approach backed by numerous worked examples to facilitate understanding of numerical methods and their application. Readers will learn to structure a sequence of operations into a program, using the programming language of their choice; this approach leads to a deeper understanding of the methods and their limitations.

Features:

  • Provides a strong theoretical foundation for learning and applying numerical methods
  • Takes a generic approach to engineering analysis, rather than using a specific programming language
  • Built around a consistent, understandable model for conducting engineering analysis
  • Prepares students for advanced coursework, and use of tools such as FEA and CFD
  • Presents numerous detailed examples and problems, and a Solutions Manual for instructors

chapter 1|7 pages

Introduction

chapter 4|65 pages

Algebraic Eigenvalue Problems

chapter 5|73 pages

Interpolation and Mapping

chapter 6|42 pages

Numerical Integration or Quadrature

chapter 7|35 pages

Curve Fitting

chapter 8|11 pages

Numerical Differentiation

chapter 10|33 pages

Numerical Solution of Initial Value Problems

chapter 11|7 pages

Fourier Series