Polynomials and Polynomial Inequalities: 161 - Brossura

Borwein, Peter; Erdelyi, Tamas

Brossura

ISBN 10: 1461269024 ISBN 13: 9781461269021

Casa editrice: Springer Nature, 2012

Riassunto

After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.

Su questo libro

Recensione:

"This is a wonderful book which is strongly recommended for use in a class with students who are willing to work on the proofs, rather than to digest fully prepared and worked out proofs and examples." Jnl of Approximation Theory

Contenuti:

Chaptern 1 Introduction and Basic Properties.- 2 Some Special Polynomials.- 3 Chebyshev and Descartes Systems.- 4 Denseness Questions.- 5 Basic Inequalities.- 6 Inequalities in Müntz Spaces.- Inequalities for Rational Function Spaces.- Appendix A1 Algorithms and Computational Concerns.- Appendix A2 Orthogonality and Irrationality.- Appendix A3 An Interpolation Theorem.- Appendix A5 Inequalities for Polynomials with Constraints.- Notation.

Su questa edizione

• Editore: Springer Nature
• Data di pubblicazione: 2012
• ISBN 10: 1461269024
• ISBN 13: 9781461269021
• Rilegatura: Copertina flessibile
• Numero di pagine: 496