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Clearly presented elements of one of the most penetrating concepts in modern mathematics include discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 edition.
Table of Contents
|Homogeneous Linear Equations|
|Dependence and Independence of Vectors|
|Non-homogeneous Linear Equations|
|Unique Decomposition of Polynomials into Irreducible Factors|
|Applications and Examples to Theorem 13|
|Roots of Unity|
|Existence of a Normal Basis|
|Theorem on natural Irrationalities|
|Solution of Equations by Radicals|
|The General Equation of Degree n|
|Solvable Equations of Prime Degree|
|Ruler and Compass Construction|
|Table of Contents provided by Publisher. All Rights Reserved.|