Vendeur : Forgotten Books, London, Royaume-Uni
Paperback. Etat : New. Print on Demand. This book provides the final link in the proof that any real rational integral function of one variable can be decomposed into real factors of the first or second degree. The author begins by presenting several theorems laid out by Gauss, including the connection between discriminant and divisibility. After defining the product of all permutations of like elements, the author then introduces a significantly important theorem which will serve as the crux of the remaining proof. Using this theorem, the author goes on to demonstrate that any divisor of the nth degree of the provided expression can be made dependent on the existence of a real root in a similarly constructed equation that has a non-zero discriminant. In the following section the author expounds on the preceding result, showing that if the discriminant of the equation F(u, 0, L) = 0 is zero, then the existence of a factor of the nth degree of the function Y is dependent on the existence of a real root in the equation F(u, 0, L) = 0. The final two sections of the book center on proving that F(u, 0, L) = 0 has a real root, thereby proving any real rational integral function of one variable can be decomposed into real factors of the first or second degree. This book will appeal to advanced mathematics students, mathematics scholars, and anyone interested in a deep dive into the intricacies of algebraic functions. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9780484928076_0
Quantité disponible : Plus de 20 disponibles
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9780484928076
Quantité disponible : 15 disponible(s)
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9780484928076
Quantité disponible : 15 disponible(s)