Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory

Rivlin, Theodore J.

ISBN 10: 0486842339 / ISBN 13: 9780486842332

Verlag: Dover Pubns, 2020

2nd edition. 249 pages. 8.75x6.00x0.75 inches. In Stock. Bestandsnummer des Verkäufers zk0486842339

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor:

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.

Bibliografische Details

Titel: Chebyshev Polynomials: From Approximation ...
Verlag: Dover Pubns
Erscheinungsdatum: 2020
Einband: Paperback
Zustand: Brand New
Auflage: 2. Auflage