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

George Salmon

Hardcover

ISBN 10: 0267975759 ISBN 13: 9780267975754

Publisher: Forgotten Books, 2018

Synopsis

Foundations of elimination in higher algebra with classic results and their modern interpretations.

This volume surveys key ideas in elimination theory, including how resultants, discriminants, and Bezoutians are used to understand systems of equations. It brings together historical developments and practical formulas that guide the study of quantics, curves, and their common roots.

• Clear explanations of resultants, discriminants, and their roles in solving polynomial systems.
• Introduction to the Bezoutiant and its interpretation as a discriminant of a quadratic function.
• Worked tables and formulas for applying elimination methods to quadratics, cubics, and higher-degree quantics.
• Discussion of symmetry and invariant-style approaches that underpin these techniques.

Ideal for readers of the history of algebra and students seeking a rigorous, historical perspective on elimination methods and their applications.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0267975759
• ISBN 13: 9780267975754
• Binding: Hardcover
• Number of pages: 310