Galois theory : lectures delivered at the University of Notre Dame / by Emil Artin ; edited and supplemented with a Section on applications by Arthur N. Milgram.
Series Notre Dame mathematical lectures ; no. 2Editor: Notre Dame, Ind. : [University of Notre Dame], c1944Edición: 2nd ed., with additions and revisionsDescripción: 82 p. ; 23 cmOtra clasificación: 12F10 (01A75 11R32)I LINEAR ALGEBRA [1] A. Fields [1] B. Vector Spaces [1] C. Homogeneous Linear Equations [2] Dependence and Independence of Vectors [4] E. Non-homogeneous Linear Equations [9] F. Determinants [11] II FIELD THEORY [21] A. Extension Fields [21] B. Polynomials [22] C. Algebraic Elements [25] D. Splitting Fields [30] E. Unique Decomposition of Polymomials into Irreducible Factors [33] F. Group Characters [34] G. * Applications and Examples to Theorem 13 [38] H. Normal Extensions [41] I. Finite Fields [49] J. Roots of Unity [56] K. Noether Equations [57] L. Kummer's Fields [59] M. Simple Extensions [64] N. Existence of a Normal Basis [66] O. Theorem on Natural Irrationalities [67] III APPLICATIONS By A. N. Milgram [69] A. Solvable Groups [69] B. Permutation Groups [70] C. Solution of Equations by Radicals [72] D. The General Equation of Degree n [74] E. Solvable Equations of Prime Degree [76] F Ruler and Compass Constructions [80]
Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode | Course reserves |
---|---|---|---|---|---|---|---|---|
Libros | Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 12 Ar791-2 (Browse shelf) | Available | A-507 |
I LINEAR ALGEBRA [1] --
A. Fields [1] --
B. Vector Spaces [1] --
C. Homogeneous Linear Equations [2] --
Dependence and Independence of Vectors [4] --
E. Non-homogeneous Linear Equations [9] --
F. Determinants [11] --
II FIELD THEORY [21] --
A. Extension Fields [21] --
B. Polynomials [22] --
C. Algebraic Elements [25] --
D. Splitting Fields [30] --
E. Unique Decomposition of Polymomials into Irreducible Factors [33] --
F. Group Characters [34] --
G. * Applications and Examples to Theorem 13 [38] --
H. Normal Extensions [41] --
I. Finite Fields [49] --
J. Roots of Unity [56] --
K. Noether Equations [57] --
L. Kummer's Fields [59] --
M. Simple Extensions [64] --
N. Existence of a Normal Basis [66] --
O. Theorem on Natural Irrationalities [67] --
III APPLICATIONS --
By A. N. Milgram [69] --
A. Solvable Groups [69] --
B. Permutation Groups [70] --
C. Solution of Equations by Radicals [72] --
D. The General Equation of Degree n [74] --
E. Solvable Equations of Prime Degree [76] --
F Ruler and Compass Constructions [80] --
MR, 5,225c
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