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 Press, 1966, c1944Edición: 2nd ed., with additions and revisions; new composition with correctionsDescripción: 82 p. ; 23 cmISBN: 0268001081Otra clasificación: 12F10 (01A75 11R32)I LINEAR ALGEBRA [1] A. Fields [1] B. Vector Spaces [1] C. Homogeneous Linear Equations [2] D. 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 Polynomials into Irreducible Factors [33] F, Group Characters [34] Gt* 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] Q. 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 Construction [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 Ar791-2r (Browse shelf) | Available | A-3485 |
I LINEAR ALGEBRA [1] --
A. Fields [1] --
B. Vector Spaces [1] --
C. Homogeneous Linear Equations [2] --
D. 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 Polynomials into Irreducible Factors [33] --
F, Group Characters [34] --
Gt* 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] --
Q. 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 Construction [80] --
MR, 5,225c
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