On Methods for Determining Complex Roots of Algebraic Equations: Thesis (Classic Reprint) - Hardcover

Ralph Craig Huffer

9780266783268: On Methods for Determining Complex Roots of Algebraic Equations: Thesis (Classic Reprint)

Hardcover

ISBN 10: 0266783260 ISBN 13: 9780266783268

Publisher: Forgotten Books, 2018

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Discover the history and methods for finding complex roots of algebraic equations.

This practical survey explains how mathematicians moved from real to complex roots and divides methods into clear classes. It emphasizes algebraic techniques while noting where graphs and visual ideas can illuminate the process.

This edition surveys the development of key approaches, from Newton’s ideas to more modern refinements. It presents a range of techniques, discusses their advantages and limits, and shows how different methods relate to one another. The material is accessible to readers with a solid high school or early college math background and includes concrete examples that illustrate the concepts.

Classification of root-finding methods, including rectangular and polar coordinate approaches
Historical context showing how complex-root problems evolved from real-root problems
Detailed discussions of notable methods, such as Lagrange’s, Hayashi’s, Schroder’s, and others
Practical notes on when certain methods work well and when they become impractical

Ideal for students, educators, and curious readers who want a clear, grounded view of how complex roots are determined and why these methods matter. If you’re exploring algebra, numerical analysis, or the history of mathematics, this volume offers a thorough, approachable guide to the techniques and ideas behind finding complex roots.

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