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The previous chapter uses group theory to study spatial and permutational symmetry. This chapter extends the application of group theory to the symmetry 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...
The objective of this book is to present for the first time the complete algorithm for roots of the general quintic equation with enough background information to make the key ideas accessible to non-specialists and even to mathematically oriented readers who are not professional mathematicians. The book includes an initial introductory chapter on group theory and symmetry, Galois theory and Tschirnhausen...
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