Publisher's Synopsis
This text covers the major numerical methods, and their analysis, for first courses at college and undergraduate level. The relative merits of each method are covered both analytically, providing a grounding in the algebraic approach, and practically, through computer lab-based activities. Each chapter includes the development and algebraic analysis of the methods, lab-based activities, ideas for coursework, case studies, exercises and solutions. Free supporting utility files are downloadable via Chartwell-Bratt's web server. Topics covered include: recurrence relations; approximation of functions by polynomials (in particular the Taylor polynomial); errors associated with numerical methods; numerical approaches to the calculus of differentiation and integration; and numerical methods of solving differential equations.
