Title: Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory: Second Edition
Publisher: Dover Publications Inc.
Publication Date: 2020
Language: English
ISBN 10: 0486842339
ISBN 13: 9780486842332
Binding: Paperback / softback
Edition: 2nd Edition
Condition: New
Weight: 390 grams

About this title

Synopsis

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.

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