Bøker i Classics in Applied Mathematics-serien

Introduces students to numerical issues that arise in linear algebra and its applications. A wide range of techniques are touched on, including direct to iterative methods, orthogonal factorizations, least squares, eigenproblems, and nonlinear equations.

Presents a unified treatment of the development of the classical moment problem from the late 19th century to the middle of the 20th century; important connections between the moment problem and branches of analysis; and a unified exposition of important classical results, which are difficult to read in the original journals.

Focuses on the motivation and ideas behind algorithms rather than on detailed analyses of them. This book presents an overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.

A great deal can be learned through modelling and mathematical analysis about real-life phenomena. Scientific computing also becomes more effective if it is preceded by preliminary analysis. These advantages of mathematical modelling are demonstrated by models of historical importance in an easily understandable way.

Provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.

This SIAM Classics edition of the 1986 book provides the theoretical foundation for representative control applications.

Covers the fundamentals of the theory of ordinary differential equations.