Splines and Variational Methods (Wiley Classics Library) - Softcover

Prenter, P. M.

3.80 out of 5 stars

5 ratings by Goodreads

Softcover

ISBN 10: 0471504025 ISBN 13: 9780471504023

Publisher: Wiley-Interscience, 1989

View all copies of this ISBN edition

1 Used

From US$ 96.26

0 New

This classic work, on the numerical solution of boundary value problems by variational methods with special emphasis on the finite element and collocation methods, is now available in an unabridged paperback edition. Assuming only the elements of linear algebra and analysis, Prenter presents just the necessary Hilbert space theory and abstract functional analytic concepts before developing the use of splines as a fine approximating tool. This work remains one of the clearest introductions to variational methods and includes powerful applications of approximation theoretic notions to very applied problems.

"synopsis" may belong to another edition of this title.

From the Back Cover

One of the clearest available introductions to variational methods, this text requires only a minimal background in calculus and linear algebra. Its self-contained treatment explains the application of theoretic notions to the kinds of physical problems that engineers regularly encounter.

The text’s first half concerns approximation theoretic notions, exploring the theory and computation of one- and two-dimensional polynomial and other spline functions. Later chapters examine variational methods in the solution of operator equations, focusing on boundary value problems in one and two dimensions. Additional topics include least squares and other Galerkin methods. Many helpful definitions, examples, and exercises appear throughout the book. A classic reference in spline theory, this volume will benefit experts as well as students of engineering and mathematics.

Dover (2008) unabridged republication of the edition published by John Wiley & Sons, Inc., New York, 1975. 336pp. 61/8 x 91/4. Paperbound.

ALSO AVAILABLE

Introduction to Numerical Analysis, F. B. Hildebrand. 669pp. 53/8 x 81/2. 0-486-65363-3

The Finite Element Method, Thomas J. R. Hughes. 672pp. 61/2 x 91/4. 0-486-41181-8

Finite Elements and Approximation, O. C. Zienkiewicz and K. Morgan. 352pp. 53/8 x 81/2. 0-486-45301-4

For current price information write to Dover Publications, or log on to www.doverpublications.com and see every Dover book in print.

"About this title" may belong to another edition of this title.