Synopses & Reviews
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 texts 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.
Synopsis
One of the clearest available introductions to variational methods, this text requires only a minimal background in linear algebra and analysis. It explains the application of theoretic notions to the kinds of physical problems that engineers regularly encounter. Many helpful definitions, examples, and exercises appear throughout the book. 1975 edition.
Synopsis
This introductory treatment explains the application of theoretic notions to physical problems that engineers regularly encounter. Only a minimal background in linear algebra and analysis is required. 1975 edition.
Table of Contents
Introductory IdeasLagrangian InterpolatesHermitian InterpolatesPolynomial Splines and GeneralizationsApproximating Functions of Several VariablesFundamentals for Variational MethodsThe Finite Element MethodThe Method of CollocationGlossary of SymbolsIndex