Polynomials And Polynomial Inequalities

Author: Peter Borwein
Publisher: Springer Science & Business Media
ISBN: 1461207932
File Size: 54,55 MB
Format: PDF, ePub, Docs
Read: 1141
Download or Read Book

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.

Polynomials

Author:
Publisher: Springer Science & Business Media
ISBN: 3642040128
File Size: 45,32 MB
Format: PDF
Read: 7222
Download or Read Book


Advances In Applied Mathematics And Approximation Theory

Author: George A. Anastassiou
Publisher: Springer Science & Business Media
ISBN: 1461463939
File Size: 45,76 MB
Format: PDF, ePub, Docs
Read: 4431
Download or Read Book

Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics.​

Number Theory And Polynomials

Author: Chris Smyth
Publisher: Cambridge University Press
ISBN: 0521714672
File Size: 42,88 MB
Format: PDF, ePub, Mobi
Read: 2643
Download or Read Book

Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.

Polynomials

Author: Victor V. Prasolov
Publisher: Springer Science & Business Media
ISBN: 3642039804
File Size: 23,55 MB
Format: PDF, ePub, Docs
Read: 7971
Download or Read Book

Covers its topic in greater depth than the typical standard books on polynomial algebra

Polynomials

Author:
Publisher: Springer Science & Business Media
ISBN: 3642040128
File Size: 39,39 MB
Format: PDF, ePub, Docs
Read: 2198
Download or Read Book


Polynomials

Author: Victor V. Prasolov
Publisher: Springer Science & Business Media
ISBN: 3642039804
File Size: 71,80 MB
Format: PDF, Docs
Read: 9985
Download or Read Book

Covers its topic in greater depth than the typical standard books on polynomial algebra

Irresistible Integrals

Author: George Boros
Publisher: Cambridge University Press
ISBN: 9780521796361
File Size: 26,20 MB
Format: PDF, ePub, Docs
Read: 845
Download or Read Book

The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in nineteenth century analysis and it has now been revived with the appearance of symbolic languages. The authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting-rather than the shortest-path to the results. They illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This is a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.

An Introduction To Polynomial And Semi Algebraic Optimization

Author: Jean Bernard Lasserre
Publisher: Cambridge University Press
ISBN: 1107060575
File Size: 77,62 MB
Format: PDF, Mobi
Read: 2181
Download or Read Book

The first comprehensive introduction to the powerful moment approach for solving global optimization problems.

Positive Polynomials And Sums Of Squares

Author: Murray Marshall
Publisher: American Mathematical Soc.
ISBN: 0821844024
File Size: 64,62 MB
Format: PDF, Mobi
Read: 4617
Download or Read Book

The study of positive polynomials brings together algebra, geometry and analysis. The subject is of fundamental importance in real algebraic geometry when studying the properties of objects defined by polynomial inequalities. Hilbert's 17th problem and its solution in the first half of the 20th century were landmarks in the early days of the subject. More recently, new connections to the moment problem and to polynomial optimization have been discovered. The moment problem relates linear maps on the multidimensional polynomial ring to positive Borel measures. This book provides an elementary introduction to positive polynomials and sums of squares, the relationship to the moment problem, and the application to polynomial optimization. The focus is on the exciting new developments that have taken place in the last 15 years, arising out of Schmudgen's solution to the moment problem in the compact case in 1991. The book is accessible to a well-motivated student at the beginning graduate level. The objects being dealt with are concrete and down-to-earth, namely polynomials in $n$ variables with real coefficients, and many examples are included. Proofs are presented as clearly and as simply as possible. Various new, simpler proofs appear in the book for the first time. Abstraction is employed only when it serves a useful purpose, but, at the same time, enough abstraction is included to allow the reader easy access to the literature. The book should be essential reading for any beginning student in the area.