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The Theory of Equations (Classic Reprint): With an Introduction to the Theory of Binary Algebraic Forms - Softcover
Synopsis
Master the theory of equations with a comprehensive, classroom-ready survey of binary forms and algebraic invariants.
This edition presents a clear progression from basic polynomials to advanced topics, focusing on quadratic, cubic, and quartic equations. It connects classical methods to modern ideas like covariants and invariants, and cites influential works that shaped the subject. A new chapter introduces the covariants and invariants of combined forms, with notes on the quintic and sextic, plus expanded treatment of geometric transformations.
- Learn how roots relate to coefficients and how to transform equations and their solutions.
- Explore the algebraic solution of cubic and biquadratic equations, including classic methods and modern refinements.
- Understand complex numbers and the complex variable, with geometric representations and practical calculations.
- Discover determinants, matrix ideas, and numerical methods used to analyze and solve equations.
Ideal for students and professionals seeking a thorough, reference-grade foundation in classical and applied algebra.
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The Theory of Equations (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book presents an engaging exploration of advanced algebra with a focus on higher equations. Beginning with a thorough examination of polynomials, it elucidates the concepts of algebraic and numerical equations, establishing a strong foundation for further study. The author adeptly demonstrates the connection between the roots and coefficients of equations, delving into the existence of roots and the distinction between real and imaginary solutions. Complex numbers are introduced seamlessly, expanding the scope of the discussion. This book invites readers to navigate the complexities of equations, providing a comprehensive guide to solving cubic and biquadratic equations while also exploring symmetric functions and other advanced topics. Ultimately, the insights provided in this book offer a deeper understanding of the rich tapestry of higher algebra, its historical significance, and its enduring relevance in addressing complex mathematical challenges. 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 # 9781332916795_0
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The Theory of Equations
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332916795
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The Theory of Equations : With an Introduction to the Theory of Binary Algebraic Forms (Classic Reprint)
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Forgotten Books Apr 2018, 2018
ISBN 10: 1332916791
ISBN 13: 9781332916795
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