Authors:Renato Alvarez-Nodarse, Frank Filbir, Brigitte Forst
Publisher: Nova Science Publishers
Keywords: orthogonal, polynomials, special, functions, theory, advances, inzell, lectures
Number of Pages: 199
Published: 2005-06-30
List price: $140.00
ISBN-10: 1594541086
ISBN-13: 9781594541087

Based on the success of Fourier analysis and Hilbert space theory, orthogonal expansions undoubtedly count as fundamental concepts of mathematical analysis. Along with the need for highly involved functions systems having special properties and analysis on more complicated domains, harmonic analysis has steadily increased its importance in modern mathematical analysis. Deep connections between harmonic analysis and the theory of special functions have been discovered comparatively late, but since then have been exploited in many directions. The Inzell Lectures focus on the interrelation betwee

Authors:Diego Dominici, Robert S. Maier,
Publisher: American Mathematical Society
Keywords: special, orthogonal, polynomials, functions, contemporary, mathematics, arizonia, session, ams, april, tucson
Number of Pages: 218
Published: 2008-11-15
List price: $69.00
ISBN-10: 0821846507
ISBN-13: 9780821846506

Author: T. Sheil-Small
Publisher: Cambridge University Press
Keywords: polynomials, complex
Number of Pages: 450
Published: 2002-08-15
List price: $170.00
ISBN-10: 0521400686
ISBN-13: 9780521400688

Complex Polynomials explores the geometric theory of polynomials and rational functions in the plane. Early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology, and analysis. Throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems. Several solutions to problems are given, including a comprehensive account of the geometric convolution theory.

Authors:Kam-Tim Leung, I.A.G. Mok, S.N. Suen,
Publisher: Hong Kong University Press
Keywords: equations, polynomials
Number of Pages: 224
Published: 1991-03-31
List price: $20.00
ISBN-10: 9622092713
ISBN-13: 9789622092716

Author: E.J. Barbeau
Publisher: Springer
Keywords: mathematics, books, problem, polynomials
Number of Pages: 455
Published: 2003-10-09
List price: $54.95
ISBN-10: 0387406271
ISBN-13: 9780387406275

The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution and factorization of polynomials, solution of equations, interpolation, approximation, and congruences. The theory is not treated formally, but rather illustrated through examples. Over 300 problems drawn from journals, contests, and examinations test understanding, ingenuity, and skill. Each chapter ends with a list of hints; there are answer

Authors:J.C. Mason, David C. Handscomb,
Publisher: Chapman and Hall/CRC
Keywords: polynomials, chebyshev
Number of Pages: 360
Published: 2002-09-17
List price: $139.95
ISBN-10: 0849303559
ISBN-13: 9780849303555

Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focused primarily on the theoretical aspects. A broad, up-to-date treatment is long overdue.Providing highly readable exposition on the subject’s state of the art, Chebyshev Polynomials is just such a treatment. It includes rigorous yet down-to-earth

Author: G. G. Lorentz
Publisher: American Mathematical Society
Keywords: publishing, chelsea, ams, polynomials, bernstein
Number of Pages: 134
Published: 1997-10-01
List price: $25.00
ISBN-10: 0828403236
ISBN-13: 9780828403238

This work gives an exhaustive exposition of the main facts about the Bernstein polynomials and discusses some of their applications in Analysis. The author writes in the Preface to this second edition ``After the trigonometric integrals, Bernstein polynomials are the most important and interesting concrete operators on a space of continuous functions. Since the appearance of the first edition of this book [in 1953], the interest in this subject has continued. In an appendix we have summed up a few of the most important papers that have appeared since.’’