Numerical Analysis in Modern Scientific Computing An Introduction [Hardcover]

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas? sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe? matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.Linear Systems * Error Analysis * Linear Least Squares Problems * Nonlinear Systems and Least Squares Problems * Linear Eigenvalue Problems * Three-term Recurrence Relations * Interpolation and Approximation * Large Symmetric Systems of Equations and Eigenvalue Problems * Definite Integrals * References * Software * Index

Second Edition

P. Deuflhard and A. Hohmann

Numerical Analysis in Modern Scientific Computing

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