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Galois Theory

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Galois Theory

In the nineteenth century, French mathematician Evariste Galois developed the Galois theory of groups-one of the most penetrating concepts in modem mathematics. The elements of the theory are clearly presented in this second, revised edition of a volume of lectures delivered by noted mathematician Emil Artin. The book has been edited by Dr. Arthur N. Milgram, who has also supplemented the work with a Section on Applications.
The first section deals with linear algebra, including fields, vector spaces, homogeneous linear equations, determinants, and other topics. A second section considers extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity, Noether equations, Jummer's fields, and more.
Dr. Milgram's section on applications discusses solvable groups, permutation groups, solution of equations by radicals, and other concepts.


Reprint of the University of Notre Dame Press, 1944 edition.

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In the nineteenth century, French mathematician Evariste Galois developed the Galois theory of groups-one of the most penetrating concepts in modem mathematics. The elements of the theory are clearly presented in this second, revised edition of a volume of lectures delivered by noted mathematician Emil Artin. The book has been edited by Dr. Arthur N. Milgram, who has also supplemented the work with a Section on Applications.
The first section deals with linear algebra, including fields, vector spaces, homogeneous linear equations, determinants, and other topics. A second section considers extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity, Noether equations, Jummer's fields, and more.
Dr. Milgram's section on applications discusses solvable groups, permutation groups, solution of equations by radicals, and other concepts.


Reprint of the University of Notre Dame Press, 1944 edition.

algebra text;algebra textbook;mathematical objects;gamma function;level math;abstract algebra;self study;math text;algebra class;linear algebra;advanced math;highly disorganized;carefully explained;ivory tower;tensors;strang;kummer;algebras;polynomials;noether;lemma;factorization;solvability;evariste;hungerford;symmetric;self-study;permutation;algebraic;pinter;theorems;solvable;joining;foote;quotient;jacobson;mathematics;radicals;mathematicians;proofs;undergrad;equations;undergraduate;properties;applications;rigorous;exercises;fields;artin;books on factorizations;books on lemma;books on radicals;books on theorems;books on algebra textbooks;books on pinter;books on linear algebras;books on advanced maths;books on evariste;books on algebras;books on level maths;books on proofs;books on strang;books on tensors;books on algebra classes;books on permutations;books on mathematicians;books on self studies;books on kummer;books on exercises;books on hungerford;books on mathematical objects;books on properties;books on quotients;books on algebra texts;books on ivory towers;books on equations;books on polynomials;books on abstract algebras;books on undergrads;books on math texts;books on mathematics;books on foote;join;books on self-studies;books on jacobson;books on applications;books on fields
Galois Theory | Dover Publications