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

Rivlin, Theodore J.

Softcover

ISBN 10: 0486842339 ISBN 13: 9780486842332

Publisher: Dover Publications, 2020

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 this title

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.

Edition details

• Publisher: Dover Publications
• Publication date: 2020
• Language: English
• ISBN 10: 0486842339
• ISBN 13: 9780486842332
• Binding: Paperback
• Edition number: 2
• Number of pages: 272