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Titlebook: Beyond the Quartic Equation; R. Bruce King Book 1996 Birkhäuser Boston 1996 Algebra.Galois theory.Mathematics.Quartic Equation.Tschirnhaus

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发表于 2025-3-21 18:47:15 | 显示全部楼层 |阅读模式
期刊全称Beyond the Quartic Equation
影响因子2023R. Bruce King
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发行地址An affordable softcover edition of a classic text.Complete algorithm for roots of the general quintic equation.Key ideas accessible to non-specialists.Indroductory chapter covers group theory and symm
学科分类Modern Birkhäuser Classics
图书封面Titlebook: Beyond the Quartic Equation;  R. Bruce King Book 1996 Birkhäuser Boston 1996 Algebra.Galois theory.Mathematics.Quartic Equation.Tschirnhaus
影响因子One of the landmarks in the history of mathematics is the proof of the nonex- tence of algorithms based solely on radicals and elementary arithmetic operations (addition, subtraction, multiplication, and division) for solutions of general al- braic equations of degrees higher than four. This proof by the French mathema- cian Evariste Galois in the early nineteenth century used the then novel concept of the permutation symmetry of the roots of algebraic equations and led to the invention of group theory, an area of mathematics now nearly two centuries old that has had extensive applications in the physical sciences in recent decades. The radical-based algorithms for solutions of general algebraic equations of degrees 2 (quadratic equations), 3 (cubic equations), and 4 (quartic equations) have been well-known for a number of centuries. The quadratic equation algorithm uses a single square root, the cubic equation algorithm uses a square root inside a cube root, and the quartic equation algorithm combines the cubic and quadratic equation algorithms with no new features. The details of the formulas for these equations of degree d(d = 2,3,4) relate to the properties of the corresponding
Pindex Book 1996
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Internet Marketing and Big Data Exploitationry inherent in algebraic equations, which is closely linked to the methods required for their solution. The group-theoretical aspects of algebraic equations were first introduced by Evariste Galois (1811-1832) so that this area of mathematics is frequently called . An excellent discussion of Galois theory is given in a book by Stewart.
发表于 2025-3-22 05:46:02 | 显示全部楼层
https://doi.org/10.1007/978-0-8176-4849-7Algebra; Galois theory; Mathematics; Quartic Equation; Tschirnhausen transformations; elliptic function; e
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Internet Marketing and Big Data Exploitationry inherent in algebraic equations, which is closely linked to the methods required for their solution. The group-theoretical aspects of algebraic equations were first introduced by Evariste Galois (1811-1832) so that this area of mathematics is frequently called . An excellent discussion of Galois
发表于 2025-3-22 17:05:29 | 显示全部楼层
R. Bruce KingAn affordable softcover edition of a classic text.Complete algorithm for roots of the general quintic equation.Key ideas accessible to non-specialists.Indroductory chapter covers group theory and symm
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Modern Birkhäuser Classicshttp://image.papertrans.cn/b/image/185357.jpg
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