Synopsis
Unravel the mystery of solving equations of higher degree .
This work surveys how mathematicians approached quintic equations, tracing ideas from Tschirnhausen, Lagrange, and Vandermonde to new methods that push beyond earlier limits.
This edition presents a clear, accessible discussion of symmetry, reductions, and the role of auxiliary equations in seeking algebraic resolutions. It highlights how classical ideas connect to modern thoughts on when and how certain equations can be solved with radicals and rational functions.- See how the method evolves from biquadratic to fifth-degree problems without promising impossible general solutions.
- Explore the idea that certain substitutions and transformations can reduce complex problems to simpler, solvable forms.
- Learn about the historical context and the quest to understand the limits of algebraic solvability.
- Gain insight into the interplay between theory and technique that shaped the development of these methods.
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An Essay on the Resolution of Equations (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book explores the problem of expanding equations to the binomial form, which is critical in solving polynomial equations. The author focuses on Tschirnhaus's method, a procedure for finding the binomial form for equations of any degree. The author extends this method to find binomial forms for even higher orders of equations than Tschirnhaus originally intended. The book goes on to describe the collapse of this method at specific points, known as the "collapse of the series" and discusses how we can still use the method to solve for the binomial form when it occurs. Ultimately, the book not only demonstrates how a historical method can be extended but also provides an in-depth look into finding binomial forms, an essential process for solving polynomial equations. 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. Seller Inventory # 9781330195031_0
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An Essay on the Resolution of Equations Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330195031
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An Essay on the Resolution of Equations Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330195031
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