Buch, Englisch, Band 99, 272 Seiten, Gewicht: 489 g
Buch, Englisch, Band 99, 272 Seiten, Gewicht: 489 g
Reihe: CBMS Regional Conference Series in Mathematics
ISBN: 978-0-8218-2871-7
Verlag: American Mathematical Society
This monograph demonstrates applications of the theory of symmetric functions to algebraic identities related to the Euclidean algorithm. Among those applications discussed are the division of polynomials, continued fraction expansion of formal series, Pad approximants, and orthogonal polynomials. N
The theory of symmetric functions is an old topic in mathematics which is used as an algebraic tool in many classical fields. With s\lambdas-rings, one can regard symmetric functions as operators on polynomials and reduce the theory to just a handful of f
Symmetric functions; Symmetric functions as operators and slambdas-rings; Euclidean division; Reciprocal differences and continued fractions; Division, encore; Pade approximants; Symmetrizing operators; Orthogonal polynomials; Schubert polynomials; The ring of polynomials as a module over symmetric ones; The plactic algebra; Complements; Solutions of exercises; Bibliography; Index; Symmetric functions; Symmetric functions as operators and slambdas-rings; Euclidean division; Reciprocal differences and continued fractions; Division, encore; Pade approximants; Symmetrizing operators; Orthogonal polynomials; Schubert polynomials; The ring of polynomials as a module over symmetric ones; The plactic algebra; Complements; Solutions of exercises; Bibliography; Index
