Symmetric Functions and Polynomials (Mathematics Essentials) - Hardcover

Hardcover

ISBN 10: 1647254620 ISBN 13: 9781647254629

Publisher: NY Research Press, 2023

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.

Edition details

• Publisher: NY Research Press
• Publication date: 2023
• Language: English
• ISBN 10: 1647254620
• ISBN 13: 9781647254629
• Binding: Hardcover
• Number of pages: 251
• Editor: Adams Alma