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.

Por: Artin, Emil, 1898-1962Colaborador(es): Milgram, Arthur N. (Arthur Norton), 1912- [edt]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)
Contenidos:
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]
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Libros ordenados por tema 12 Ar791-2r (Browse shelf) Available A-3485

EXTENSIONES ALGEBRAICAS Y TEORÍA DE GALOIS


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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