Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory (Paperback)

Theodore J. Rivlin

ISBN 10: 0486842339 / ISBN 13: 9780486842332

Published by Dover Publications Inc., New York, 2020

About this Item

Paperback. This survey of the most important properties of the Chebyshev polynomials encompasses several areas of mathematical analysis: interpolation theory, orthogonal polynomials, approximation theory, numerical integration, numerical analysis, and ergodic theory. Originally published in 1974, the text was updated in 1990; this reprint of the second edition corrects various errors and features new material, including a chapter introducing elementary algebraic and number theoretic properties of Chebyshev polynomials. AUTHOR: Theodore J. Rivlin (19262006) 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. This survey of the most important properties of the Chebyshev polynomials encompasses several areas of mathematical analysis: interpolation theory, orthogonal polynomials, approximation theory, numerical integration, numerical analysis, and ergodic theory. 1990 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780486842332

Bibliographic Details

• Title: Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory (Paperback)
• Publisher: Dover Publications Inc., New York
• Publication Date: 2020
• Language: English
• ISBN 10: 0486842339
• ISBN 13: 9780486842332
• Binding: Paperback
• Edition: 2nd Edition
• Condition: new

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.