Theoretical Numerical Analysis: A Functional Analysis Framework
Language: English
Published by Springer-Verlag New York Inc., 2009
- Hardcover
- Used
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This book prepares graduate students for research in numerical analysis/computational mathematics by giving a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps them to move rapidly into a research program.
Seller Inventory # CIN1441904573VG
- Title
- Theoretical Numerical Analysis: A Functional Analysis Framework
- Author
- Kendall Atkinson
- Publisher
- Springer-Verlag New York Inc.
- Publication year
- 2009
- Condition
- Very Good
- Binding
- Hardback
- Language
- English
- ISBN 10
- 1441904573
- ISBN 13
- 9781441904577
- Edition
- 3rd Edition
- Series
- Book 13 of 55: Texts in Applied Mathematics
This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, and boundary integral equations for planar regions. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study.
Because of the relevance in solving real world problems, multivariable polynomials are playing an ever more important role in research and applications. In this third editon, a new chapter on this topic has been included and some major changes are made on two chapters from the previous edition. In addition, there are numerous minor changes throughout the entire text and new exercises are added.
Review of earlier edition:
"...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."
R. Glowinski, SIAM Review, 2003
"Synopsis" may belong to another edition of this title.
From the Back Cover
This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, boundary integral equations for planar regions, and multivariable polynomial approximations. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study. In this third edition, a new chapter, Multivariable Polynomial Approximations, is included, numerous changes are made throughout the entire text, and new exercises are added.
Review of earlier edition:
"...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."
R. Glowinski, SIAM Review, 2003
"About the title" may belong to another edition of this title.
World of Books Inc
Montgomery, IL, U.S.A.
AbeBooks seller since March 23, 2026
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