Exploring Numerical Methods: An Introduction to Scientific Computing

Exploring Numerical Methods is designed to provide beginning engineering and science students, as well as upper-level mathematics students, with an introduction to numerical analysis that emphasizes insight and hands-on experience. To serve the needs of both the younger and the more experienced audiences, each chapter begins with an intuitive presentation of motivation and simple algorithms. Topics are developed progressively within each chapter and the advanced material, which reveals underlying theory and discusses complicated methods, is clearly marked. The text takes a focused approach to introducing the most important numerical algorithms and exposes students to partial differential equations by using simple prototypes. This text provides a strong experiential basis for future study. MATLAB Provides students with the opportunity to continue the text's discussions through the implementation of methods and algorithme NASOFT Serves as a complement to MATLAB, extending MATLAB's functionality and providing functions that are coded in a straightforward manner An "Explorations" chapter Challenges students to experiment with numerical software in settings that reflect real-world situations. Students encounter the practical issues of software evaluation, selection, and modification, as they are challenged to develop solutions to open-ended problems. A chapter on inverse and ill-posed problems Exposes students to this increasingly essential topic and emphasizes the importance of thoughtful application of numerical methods