Chebyshev Polynomials

✍ Scribed by J.C. Mason (Author); David C. Handscomb (Author)

• Publisher: Chapman and Hall/CRC
• Year: 2002
• Leaves: 358
• Edition: 1
• Category: Library

✦ Synopsis

Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focuse

✦ Table of Contents

Definitions. Basic Properties and Formulae. Minimax Properties and Applications. Orthogonality and Least-Squares Approximation. Chebyshev Series. Chebyshev Interpolation. Near-Best Approximations. Integration using Chebyshev Polynomials. Solution of Integral Equations. Solution of Ordinary Differential Equations. Solution of Partial Differential Equations. Conclusion. Bibliography. Appendices.

✦ Subjects

Computer Science;Computation;Computational Numerical Analysis;Mathematics & Statistics;Advanced Mathematics;Analysis - Mathematics;Differential Equations;Applied Mathematics