A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon's potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation. By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.
Product Identifiers
Publisher
Taylor & Francis Inc
ISBN-13
9781584886075
eBay Product ID (ePID)
94366196
Product Key Features
Author
Victor S. Ryaben'kii, Semyon V. Tsynkov
Publication Name
A Theoretical Introduction to Numerical Analysis
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2006
Type
Textbook
Number of Pages
552 Pages
Dimensions
Item Height
234mm
Item Width
156mm
Item Weight
885g
Additional Product Features
Title_Author
Semyon V. Tsynkov, Victor S. Ryaben'kii
Country/Region of Manufacture
United States
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