Numerical Analysis in Modern Scientific Computing: An Introduction

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Springer Science & Business Media, Jan 14, 2003 - Mathematics - 340 pages
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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.
 

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Contents

Linear Systems
1
Error Analysis
21
Linear LeastSquares Problems
57
Nonlinear Systems and LeastSquares Problems
81
Exercises
113
Linear Eigenvalue Problems
119
ThreeTerm Recurrence Relations
151
Interpolation and Approximation
179
Large Symmetric Systems of Equations and Eigenvalue
237
Definite Integrals
269
Exercises
321
Software
331
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