Symmetric Functions and Polynomials (Mathematics Essentials)

Alma Adams

ISBN 10: 1647254620 / ISBN 13: 9781647254629

Published by NY Research Press Sep 2023, 2023

About this Item

Neuware - 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.

Seller Inventory # 9781647254629

Bibliographic Details

• Title: Symmetric Functions and Polynomials (Mathematics Essentials)
• Publisher: NY Research Press Sep 2023
• Publication Date: 2023
• Language: English
• ISBN 10: 1647254620
• ISBN 13: 9781647254629
• Binding: Buch
• Condition: Neu
• Dimensions: 279W x 216H x 16D millimeters 279 millimeters width by 216 millimeters height by 16 millimeters depth
• Weight: 875 grams

About this title

Synopsis

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.