On Irreducible Polynomials in Several Variables Which Become Reducible When the Variables Are Replaced by Powers of Themselves

Eli Gourin

ISBN 10: 102587580X / ISBN 13: 9781025875804

Published by Creative Media Partners, LLC Feb 2026, 2026

About this Item

Neuware - 'On Irreducible Polynomials in Several Variables Which Become Reducible When the Variables Are Replaced by Powers of Themselves' is a rigorous mathematical treatise exploring the behavior of algebraic expressions under specific transformations. Author Eli Gourin provides a detailed investigation into the conditions and properties that cause an irreducible polynomial in several variables to become reducible once those variables are substituted with their own powers. This work serves as a significant contribution to the field of algebra, focusing on the intricate mechanics of polynomial decomposition and the stability of irreducibility.Throughout the text, Gourin develops theoretical frameworks and provides proofs that address complex questions in algebraic theory. The study is particularly relevant for scholars and students of mathematics interested in the properties of multivariable functions and the fundamental nature of algebraic equations. By isolating the factors that lead to reducibility in these specific contexts, the work offers valuable insights into number theory and the broader study of mathematical structures. 'On Irreducible Polynomials in Several Variables Which Become Reducible When the Variables Are Replaced by Powers of Themselves' remains a notable academic resource for understanding the nuances of polynomial theory and variable-based transformations.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Seller Inventory # 9781025875804

Bibliographic Details

• Title: On Irreducible Polynomials in Several Variables Which Become Reducible When the Variables Are Replaced by Powers of Themselves
• Publisher: Creative Media Partners, LLC Feb 2026
• Publication Date: 2026
• Language: English
• ISBN 10: 102587580X
• ISBN 13: 9781025875804
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 234W x 156H x 1D millimeters 234 millimeters width by 156 millimeters height by 1 millimeters depth
• Weight: 50 grams

About this title

Synopsis

"On Irreducible Polynomials in Several Variables Which Become Reducible When the Variables Are Replaced by Powers of Themselves" is a rigorous mathematical treatise exploring the behavior of algebraic expressions under specific transformations. Author Eli Gourin provides a detailed investigation into the conditions and properties that cause an irreducible polynomial in several variables to become reducible once those variables are substituted with their own powers. This work serves as a significant contribution to the field of algebra, focusing on the intricate mechanics of polynomial decomposition and the stability of irreducibility.

Throughout the text, Gourin develops theoretical frameworks and provides proofs that address complex questions in algebraic theory. The study is particularly relevant for scholars and students of mathematics interested in the properties of multivariable functions and the fundamental nature of algebraic equations. By isolating the factors that lead to reducibility in these specific contexts, the work offers valuable insights into number theory and the broader study of mathematical structures. "On Irreducible Polynomials in Several Variables Which Become Reducible When the Variables Are Replaced by Powers of Themselves" remains a notable academic resource for understanding the nuances of polynomial theory and variable-based transformations.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.

As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.