Synopsis
Explore the math behind polynomials, solvability, and the surprising limits of what equations can reveal.
This accessible guide traces how mathematicians uncover why some polynomial equations can be solved with formulas and others cannot. It introduces ideas like resolvents, Galois theory, and the role of symmetry in equations, using concrete examples from cubic to quintic problems. The book blends historical insight with clear, intuitive explanations to show how abstract concepts connect to solvability.
- Learn how roots of equations relate to permutations and symmetry
- See why certain degrees of equations resist algebraic solutions
- Discover the idea of natural irrationalities and auxiliary equations
- Follow a coherent path from simple cases to the general theory of solvability
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Book Description
First published in 1930, this book forms number six in the Cambridge Tracts in Mathematics and Mathematical Physics Series. The text gives a concise account of the theory of equations according to the ideas of Galois. This book will be of value to anyone with an interest in algebra and the history of mathematics.
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Algebraic Equations (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book takes a scholarly approach to solving mathematical equations. It builds upon and expands a crucial method known as Galois theory, originally developed by Ãvariste Galois in the 19th century. Galois theory provides a framework for understanding the solvability of polynomial equations and explores properties of their roots. The method involves studying symmetries and structures within these equations, providing insights into their behavior and potential solutions. The author delves deep into the theoretical underpinnings of Galois theory, offering a comprehensive analysis of its concepts and applications. They guide readers through constructing equations and determining their solvability based on the Galois group associated with each equation. The book also examines the implications of adjoining irrational quantities to extend the field of rationality and simplify the Galois group, making it a valuable resource for mathematicians seeking to expand their knowledge of equation theory and the Galois theory that underpins it. 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 # 9781440069826_0
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Algebraic Equations Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781440069826
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Algebraic Equations Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781440069826
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Paperback. Condition: Brand New. 76 pages. 9.00x6.00x0.18 inches. This item is printed on demand. Seller Inventory # zk1440069824
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