Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory: Second Edition (Dover Books on Mathematics) (Paperback)

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Description


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.

About the Author


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.
Product Details
ISBN: 9780486842332
ISBN-10: 0486842339
Publisher: Dover Publications
Publication Date: August 12th, 2020
Pages: 272
Language: English
Series: Dover Books on Mathematics