Provides a foundation in numerical analysis for such topics as - finite element theory, advanced numerical linear algebra, and optimization. This book covers the main areas of introductory numerical analysis, including the solution of nonlinear equations, numerical linear algebra, numerical integration, and boundary value problems.
Helping readers prepare for doctoral examinations in numerical analysis, this graduate-level text provides a sound introduction to the theory and application of computational methods for applied mathematics problems. It also assists readers in understanding the mathematical literature in this area. The authors present the most important advanced aspects of numerical linear algebra, finite element theory, approximation theory, optimization, and integral equations. They also cover interval computation methods in numerical analysis and include fully worked out solutions for selected problems. A solutions manual is available upon qualifying course adoption.
?this book provides useful background knowledge for graduate study in any area of applied mathematics ? this is a thorough, well-written treatment of an important subject.-Computing Reviews, May 2010