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Symmetric Functions and Polynomials (Mathematics Essentials)

Symmetric Functions and Polynomials (Mathematics Essentials)

Hardcover

AlgebraGeneral Mathematics

ISBN10: 1647254620
ISBN13: 9781647254629
Publisher: Ny Research Pr
Published: Sep 26 2023
Pages: 251
Weight: 1.93
Height: 0.63 Width: 8.50 Depth: 11.00
Language: English
A function containing several variables that remains unchanged for any permutation of the variables is called a symmetric function. Polynomials are a type of function. A symmetric polynomial refers to a type of polynomial P in n variables such that if any of the variables are swapped with each other, it remains the same polynomial. There are various types of symmetric polynomials including power-sum symmetric polynomials, elementary symmetric polynomials, complete homogeneous symmetric polynomials, monomial symmetric polynomials, and Schur polynomials. Symmetric polynomials have numerous applications in various areas of combinatorics, representation theory, mathematical physics, and mathematics. They are frequently found in Newton's identities and Vieta's formula. This book includes some of the vital pieces of works being conducted across the world, on various topics related to symmetric functions and polynomials, and their applications. It will serve as a valuable source of reference for graduate and postgraduate students.

Also from

Adams, Alma

Also in

Algebra