Lessons Introductory to the Modern Higher Algebra (Classic Reprint) - Couverture souple

Salmon, George

Couverture souple

ISBN 10 : 1334213313 ISBN 13 : 9781334213311

Editeur : Forgotten Books, 2018

Synopsis

Dive into the building blocks of higher algebra, from invariants to covariants, and see how quadrics come alive in theory and calculation.

This edition surveys the theory of quadrics in general, invariants and covariants, and the differential equations that govern them. It presents methods for testing reality of roots, forming invariants, and understanding how Hessians and related constructs fit into the broader algebraic landscape. The discussion weaves historical insight with practical symbolic techniques, aiming to illuminate how these ideas connect across topics in advanced algebra.

Readers will encounter concrete procedures for forming and manipulating quadratic and higher-order forms, along with guidance on how to apply differential equations to invariants and covariants. The material emphasizes the signs of leading terms, sum-of-squares decompositions, and the structural relationships between related expressions, all within a rigorous, step-by-step framework.

• Understanding Sturm’s related tests and how they indicate the reality of roots.


• Learning how invariants and covariants are constructed and constrained by differential relations.


• Seeing how Hessians and their iterations contribute to the study of quadratic and higher forms.


• Working through examples that connect theory to explicit symbolic calculations.

Ideal for readers of advanced algebra and those exploring the historical development of invariant theory and quadrics.

A propos du livre

Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Présentation de l'éditeur

This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide. This text refers to the Bibliobazaar edition.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1334213313
• ISBN 13: 9781334213311
• Reliure: Broché
• Nombre de pages: 163
• Coordonnées du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com; gpsr@podww.com; ; 9 Culley Court; Orton Southgate; Peterborough; Cambridgeshire; PE2 6WA; Royaume-Uni
• Personne responsable: Easy Access System Europe Oü, 16879218; +358405003575; gpsr.requests@easproject.com; ; Mustamäe tee 50; Tallinn; 10621; Estonie