join us on facebook debuts of the month
Search our site
The Songaminute Man How Music Brought My Father Home Again by Simon McDermott Read the opening extract of the brand new Simon McDermott book before its publication on 05/04/2018

A Theoretical Introduction to Numerical Analysis by Victor S. (Keldysh Institute for Applied Math, Moscow, Russia) Ryaben'kii, Semyon V. (North Carolina State University, Tsynkov
  

Synopsis

A Theoretical Introduction to Numerical Analysis by Victor S. (Keldysh Institute for Applied Math, Moscow, Russia) Ryaben'kii, Semyon V. (North Carolina State University, Tsynkov

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.

About the Author

Loading other formats...

Book Info

Publication date

2nd November 2006

Author

Victor S. (Keldysh Institute for Applied Math, Moscow, Russia) Ryaben'kii, Semyon V. (North Carolina State University, Tsynkov

More books by Victor S. (Keldysh Institute for Applied Math, Moscow, Russia) Ryaben'kii, Semyon V. (North Carolina State University, Tsynkov
Author 'Like for Like'
    recommendations

Publisher

Chapman & Hall/CRC an imprint of Taylor & Francis Inc

Format

Hardback
552 pages

Categories

Numerical analysis

ISBN

9781584886075

Lovereading takes the guesswork out of finding your next read with "if you like you'll love" and extracts to help with your decision.

Sarah Bruch

Lovereading does a stella job in promoting both new and established authors.

Iris Clements

Ever purchased a book, read a few pages & thought I'm not going to enjoy this? Honest book reviews mean you'll never have that problem again

Jill Peters

Love Reading - it not only does what it says on the tin, it does it with Jam on!!

Maz Tucker

It has enriched my leisure time by introducing me to a world of books which I would not have previously considered.

Val Rowe

If you LOVE reading then you will love LOVEREADING! It's a 'novel' idea. Seriously though I could not recommend them enough.

Rebecca Whymark

It's information about new books so, for a book lover like me, what's not to like!

Joan Hill

It gives a chance to read about new titles, invites comments from all kinds of readers and is run by such a nice bunch of book lovers.

Joy Bosworth

Lovereading4kids

Lovereading4schools