Principles of the Solution of Equations of the Higher Degrees, With Applications (Classic Reprint) - Hardcover

George Paxton Young

9780260330178: Principles of the Solution of Equations of the Higher Degrees, With Applications (Classic Reprint)

Hardcover

ISBN 10: 0260330175 ISBN 13: 9780260330178

Publisher: Forgotten Books, 2018

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Explore how to tackle equations of higher degrees with deep techniques and clear rules.

This edition presents foundations for solving complex polynomials, including how surds and roots of unity influence solvability and the role of Gaussian reduction in simplifying challenges.

Designed for readers who want a rigorous, methodical approach, it frames the problem of solving high-degree equations through structured definitions, propositions, and corollaries. The text walks through how to classify surds, manage ranks, and derive rational conditions for root expressions, all while tying these ideas to practical reductions and concrete cases.

What you’ll gain from this edition:

Grounding in how to simplify algebraic expressions with surds and roots of unity.
Strategies for converting higher-degree problems into more approachable forms.
Insight into the role of auxiliary equations and how they determine solvability.
Connections between sums of roots, cycles of unity, and rational-valued outcomes.

Ideal for readers of advanced algebra, mathematical history, or anyone seeking a precise, foundational account of solving higher-degree equations.

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