Splines and Variational Methods (Dover Books on Mathematics) - Softcover

Prenter, P. M.; Mathematics

Softcover

ISBN 10: 0486469026 ISBN 13: 9780486469027

Publisher: Dover Publications, 2008

Synopsis

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.

About 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 AVAILABLEIntroduction to Numerical Analysis, F. B. Hildebrand. 669pp. 53/8 x 81/2. 0-486-65363-3The Finite Element Method, Thomas J. R. Hughes. 672pp. 61/2 x 91/4. 0-486-41181-8Finite Elements and Approximation, O. C. Zienkiewicz and K. Morgan. 352pp. 53/8 x 81/2. 0-486-45301-4For current price information write to Dover Publications, or log on to www.doverpublications.com and see every Dover book in print.

Edition details

• Publisher: Dover Publications
• Publication date: 2008
• Language: English
• ISBN 10: 0486469026
• ISBN 13: 9780486469027
• Binding: Paperback
• Number of pages: 334