Theoretical Numerical Analysis
A Functional Analysis Framework
2nd Edition
Published on 7. June 2007
XVIII, 576 pages
978-0-387-28769-0 (ISBN)
Description
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- 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). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelof 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 Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.
Reviews / Votes
Overall, the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references. - SIAMMore details
Series
Edition
2nd ed. 2005
Language
English
Place of publication
New York
United States
Publishing group
Springer US
Target group
Professional and scholarly
Illustrations
XVIII, 576 p. 33 illus.
File size
5,52 MB
ISBN-13
978-0-387-28769-0 (9780387287690)
DOI
10.1007/978-0-387-28769-0
Schweitzer Classification
Other editions
New editions
E-Book
06/2009
3rd Edition
Springer
€85.59
Available for download
Additional editions
Book
06/2007
2nd Edition
Springer
€71.64
Article exhausted; check for reprint
Content
Linear Spaces.- Linear Operators on Normed Spaces.- Approximation Theory.- Fourier Analysis and Wavelets.- Nonlinear Equations and Their Solution by Iteration.- Finite Difference Method.- Sobolev Spaces.- Variational Formulations of Elliptic Boundary Value Problems.- The Galerkin Method and Its Variants.- Finite Element Analysis.- Elliptic Variational Inequalities and Their Numerical Approximations.- Numerical Solution of Fredholm Integral Equations of the Second Kind.- Boundary Integral Equations.
