Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory: Second Edition

Theodore J. Rivlin

ISBN 10: 0486842339 / ISBN 13: 9780486842332

Editore: Dover Publications Inc., 2020

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Dati bibliografici

• Titolo: Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory: Second Edition
• Editore: Dover Publications Inc.
• Data di pubblicazione: 2020
• Lingua: Inglese
• ISBN 10: 0486842339
• ISBN 13: 9780486842332
• Rilegatura: Paperback / softback
• Edizione: seconda edizione
• Condizione: New
• Peso: 390 grammi

Descrizione articolo

Riassunto

This survey of the most important properties of Chebyshev polynomials encompasses several areas of mathematical analysis:
• Interpolation theory
• Orthogonal polynomials
• Approximation theory
• Numerical integration
• Numerical analysis
• Ergodic theory
Starting with some definitions and descriptions of elementary properties, the treatment advances to examinations of extremal properties, the expansion of functions in a series of Chebyshev polynomials, and iterative properties. The final chapter explores selected algebraic and number theoretic properties of the Chebyshev polynomials.
For advanced undergraduates and graduate students in mathematics
Originally published in 1974, the text was updated in 1990; this reprint of the second edition corrects various errors and features new material.

Informazioni sull?autore

Theodore J. Rivlin (1926–2006) was on the staff of the IBM Research Division, Thomas J. Watson Research Center, Yorktown Heights, New York. His other Dover book is An Introduction to the Approximation of Functions.