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Galois theory [[electronic resource] /] / David A. Cox
| Galois theory [[electronic resource] /] / David A. Cox |
| Autore | Cox David A |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hoboken, NJ, : John Wiley & Sons, c2012 |
| Descrizione fisica | 1 online resource (603 p.) |
| Disciplina | 512/.32 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Galois theory
Equations, Theory of |
| ISBN |
1-280-58836-5
9786613618191 1-118-21844-2 1-118-21845-0 1-118-21842-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Galois Theory; CONTENTS; Preface to the First Edition; Preface to the Second Edition; Notation; 1 Basic Notation; 2 Chapter-by-Chapter Notation; PART I POLYNOMIALS; 1 Cubic Equations; 1.1 Cardan's Formulas; Historical Notes; 1.2 Permutations of the Roots; A Permutations; B The Discriminant; C Symmetric Polynomials; Mathematical Notes; Historical Notes; 1.3 Cubic Equations over the Real Numbers; A The Number of Real Roots; B Trigonometric Solution of the Cubic; Historical Notes; References; 2 Symmetric Polynomials; 2.1 Polynomials of Several Variables; A The Polynomial Ring in n Variables
B The Elementary Symmetric PolynomialsMathematical Notes; 2.2 Symmetric Polynomials; A The Fundamental Theorem; B The Roots of a Polynomial; C Uniqueness; Mathematical Notes; Historical Notes; 2.3 Computing with Symmetric Polynomials (Optional); A Using Mathematica; B Using Maple; 2.4 The Discriminant; Mathematical Notes; Historical Notes; References; 3 Roots of Polynomials; 3.1 The Existence of Roots; Mathematical Notes; Historical Notes; 3.2 The Fundamental Theorem of Algebra; Mathematical Notes; Historical Notes; References; PART II FIELDS; 4 Extension Fields 4.1 Elements of Extension FieldsA Minimal Polynomials; B Adjoining Elements; Mathematical Notes; Historical Notes; 4.2 Irreducible Polynomials; A Using Maple and Mathematica; B Algorithms for Factoring; C The Schönemann-Eisenstein Criterion; D Prime Radicals; Historical Notes; 4.3 The Degree of an Extension; A Finite Extensions; B The Tower Theorem; Mathematical Notes; Historical Notes; 4.4 Algebraic Extensions; Mathematical Notes; References; 5 Normal and Separable Extensions; 5.1 Splitting Fields; A Definition and Examples; B Uniqueness; 5.2 Normal Extensions; Historical Notes 5.3 Separable ExtensionsA Fields of Characteristic 0; B Fields of Characteristic p; C Computations; Mathematical Notes; 5.4 Theorem of the Primitive Element; Mathematical Notes; Historical Notes; References; 6 The Galois Group; 6.1 Definition of the Galois Group; Historical Notes; 6.2 Galois Groups of Splitting Fields; 6.3 Permutations of the Roots; Mathematical Notes; Historical Notes; 6.4 Examples of Galois Groups; A The pth Roots of 2; B The Universal Extension; C A Polynomial of Degree 5; Mathematical Notes; Historical Notes; 6.5 Abelian Equations (Optional); Historical Notes; References 7 The Galois Correspondence7.1 Galois Extensions; A Splitting Fields of Separable Polynomials; B Finite Separable Extensions; C Galois Closures; Historical Notes; 7.2 Normal Subgroups and Normal Extensions; A Conjugate Fields; B Normal Subgroups; Mathematical Notes; Historical Notes; 7.3 The Fundamental Theorem of Galois Theory; 7.4 First Applications; A The Discriminant; B The Universal Extension; C The Inverse Galois Problem; Historical Notes; 7.5 Automorphisms and Geometry (Optional); A Groups of Automorphisms; B Function Fields in One Variable; C Linear Fractional Transformations D Stereographic Projection |
| Record Nr. | UNINA-9910141299903321 |
Cox David A
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| Hoboken, NJ, : John Wiley & Sons, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Galois theory / / David A. Cox
| Galois theory / / David A. Cox |
| Autore | Cox David A |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hoboken, NJ, : John Wiley & Sons, c2012 |
| Descrizione fisica | 1 online resource (603 p.) |
| Disciplina | 512/.32 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Galois theory
Equations, Theory of |
| ISBN |
1-280-58836-5
9786613618191 1-118-21844-2 1-118-21845-0 1-118-21842-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Galois Theory; CONTENTS; Preface to the First Edition; Preface to the Second Edition; Notation; 1 Basic Notation; 2 Chapter-by-Chapter Notation; PART I POLYNOMIALS; 1 Cubic Equations; 1.1 Cardan's Formulas; Historical Notes; 1.2 Permutations of the Roots; A Permutations; B The Discriminant; C Symmetric Polynomials; Mathematical Notes; Historical Notes; 1.3 Cubic Equations over the Real Numbers; A The Number of Real Roots; B Trigonometric Solution of the Cubic; Historical Notes; References; 2 Symmetric Polynomials; 2.1 Polynomials of Several Variables; A The Polynomial Ring in n Variables
B The Elementary Symmetric PolynomialsMathematical Notes; 2.2 Symmetric Polynomials; A The Fundamental Theorem; B The Roots of a Polynomial; C Uniqueness; Mathematical Notes; Historical Notes; 2.3 Computing with Symmetric Polynomials (Optional); A Using Mathematica; B Using Maple; 2.4 The Discriminant; Mathematical Notes; Historical Notes; References; 3 Roots of Polynomials; 3.1 The Existence of Roots; Mathematical Notes; Historical Notes; 3.2 The Fundamental Theorem of Algebra; Mathematical Notes; Historical Notes; References; PART II FIELDS; 4 Extension Fields 4.1 Elements of Extension FieldsA Minimal Polynomials; B Adjoining Elements; Mathematical Notes; Historical Notes; 4.2 Irreducible Polynomials; A Using Maple and Mathematica; B Algorithms for Factoring; C The Schönemann-Eisenstein Criterion; D Prime Radicals; Historical Notes; 4.3 The Degree of an Extension; A Finite Extensions; B The Tower Theorem; Mathematical Notes; Historical Notes; 4.4 Algebraic Extensions; Mathematical Notes; References; 5 Normal and Separable Extensions; 5.1 Splitting Fields; A Definition and Examples; B Uniqueness; 5.2 Normal Extensions; Historical Notes 5.3 Separable ExtensionsA Fields of Characteristic 0; B Fields of Characteristic p; C Computations; Mathematical Notes; 5.4 Theorem of the Primitive Element; Mathematical Notes; Historical Notes; References; 6 The Galois Group; 6.1 Definition of the Galois Group; Historical Notes; 6.2 Galois Groups of Splitting Fields; 6.3 Permutations of the Roots; Mathematical Notes; Historical Notes; 6.4 Examples of Galois Groups; A The pth Roots of 2; B The Universal Extension; C A Polynomial of Degree 5; Mathematical Notes; Historical Notes; 6.5 Abelian Equations (Optional); Historical Notes; References 7 The Galois Correspondence7.1 Galois Extensions; A Splitting Fields of Separable Polynomials; B Finite Separable Extensions; C Galois Closures; Historical Notes; 7.2 Normal Subgroups and Normal Extensions; A Conjugate Fields; B Normal Subgroups; Mathematical Notes; Historical Notes; 7.3 The Fundamental Theorem of Galois Theory; 7.4 First Applications; A The Discriminant; B The Universal Extension; C The Inverse Galois Problem; Historical Notes; 7.5 Automorphisms and Geometry (Optional); A Groups of Automorphisms; B Function Fields in One Variable; C Linear Fractional Transformations D Stereographic Projection |
| Record Nr. | UNINA-9910811064503321 |
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Cox David A
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| Hoboken, NJ, : John Wiley & Sons, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Galois theory / Harold M. Edwards
| Galois theory / Harold M. Edwards |
| Autore | Edwards, Harold M. |
| Pubbl/distr/stampa | New York : Springer-Verlag, c1984 |
| Descrizione fisica | xii, 152 p. ; 25 cm. |
| Disciplina | 512.32 |
| Collana | Graduate texts in mathematics, 0072-5285 ; 101 |
| Soggetto topico |
Field theory
Galois theory Polynomials |
| ISBN | 038790980X |
| Classificazione |
AMS 12-XX
QA247.E383 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000925989707536 |
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Edwards, Harold M.
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| New York : Springer-Verlag, c1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Galois theory / Jean-Pierre Escofier ; translated by Leila Schneps
| Galois theory / Jean-Pierre Escofier ; translated by Leila Schneps |
| Autore | Escofier, Jean-Pierre |
| Pubbl/distr/stampa | New York : Springer, c2001 |
| Descrizione fisica | xiv, 280 p. : ill. ; 25 cm |
| Disciplina | 512.3 |
| Altri autori (Persone) | Schneps, Leila |
| Collana | Graduate texts in mathematics, 0072-5285 ; 204 |
| Soggetto topico | Galois theory |
| ISBN | 0387987657 |
| Classificazione |
AMS 11R32
AMS 11S20 AMS 12F10 AMS 13B05 QA174.2.E73 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000926039707536 |
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Escofier, Jean-Pierre
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| New York : Springer, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Galois theory / Joseph Rotman
| Galois theory / Joseph Rotman |
| Autore | Rotman, Joseph J. |
| Pubbl/distr/stampa | New York : Springer-Verlag, 1990 |
| Descrizione fisica | xii, 108 p. ; 23 cm. |
| Disciplina | 512.32 |
| Collana | Universitext |
| Soggetto topico | Galois theory |
| ISBN | 0387973052 |
| Classificazione |
AMS 12-01
AMS 12F10 QA171.R668 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000926109707536 |
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Rotman, Joseph J.
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| New York : Springer-Verlag, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Galois theory / Ian Stewart
| Galois theory / Ian Stewart |
| Autore | Stewart, Ian |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | London : Chapman & Hall, 1989 |
| Descrizione fisica | xxx, 202 p. ; 23 cm |
| Disciplina | 512.3 |
| Collana | Chapman & Hall mathematics series |
| Soggetto topico | Galois theory |
| ISBN | 0412345501 |
| Classificazione |
AMS 12F
LC QA214.S74 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000925859707536 |
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Stewart, Ian
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| London : Chapman & Hall, 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Galois theory and cohomology of commutative rings / / by S.U. Chase, D.K. Harrison and Alex Rosenberg
| Galois theory and cohomology of commutative rings / / by S.U. Chase, D.K. Harrison and Alex Rosenberg |
| Autore | Chase Stephen Urban <1932-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1965 |
| Descrizione fisica | 1 online resource (87 p.) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Galois theory
Commutative rings Homology theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9997-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Abelian extensions of commutative rings / D.K. Harrison -- Galois theory and Galois cohomology of commutative rings / S.U. Chase, D.K. Harrison, and A. Rosenberg -- Amitsur cohomology and the Brauer group / S.U. Chase and A. Rosenberg. |
| Record Nr. | UNINA-9910480953103321 |
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Chase Stephen Urban <1932->
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| Providence, Rhode Island : , : American Mathematical Society, , 1965 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Galois theory and cohomology of commutative rings / / S.U. Chase, D.K. Harrison and Alex Rosenberg
| Galois theory and cohomology of commutative rings / / S.U. Chase, D.K. Harrison and Alex Rosenberg |
| Autore | Chase Stephen U (Stephen Urban), <1932-> |
| Edizione | [Repr. with corrections.] |
| Pubbl/distr/stampa | Providence, R.I. : , : American Mathematical Society, , 1965 |
| Descrizione fisica | 1 online resource (iii, 79 pages) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Galois theory
Commutative rings Homology theory |
| ISBN | 0-8218-9997-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Abelian extensions of commutative rings / D.K. Harrison -- Galois theory and Galois cohomology of commutative rings / S.U. Chase, D.K. Harrison, and A. Rosenberg -- Amitsur cohomology and the Brauer group / S.U. Chase and A. Rosenberg. |
| Record Nr. | UNINA-9910788610903321 |
|
Chase Stephen U (Stephen Urban), <1932->
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||
| Providence, R.I. : , : American Mathematical Society, , 1965 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Galois theory and cohomology of commutative rings / / S.U. Chase, D.K. Harrison and Alex Rosenberg
| Galois theory and cohomology of commutative rings / / S.U. Chase, D.K. Harrison and Alex Rosenberg |
| Autore | Chase Stephen U (Stephen Urban), <1932-> |
| Edizione | [Repr. with corrections.] |
| Pubbl/distr/stampa | Providence, R.I. : , : American Mathematical Society, , 1965 |
| Descrizione fisica | 1 online resource (iii, 79 pages) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Galois theory
Commutative rings Homology theory |
| ISBN | 0-8218-9997-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Abelian extensions of commutative rings / D.K. Harrison -- Galois theory and Galois cohomology of commutative rings / S.U. Chase, D.K. Harrison, and A. Rosenberg -- Amitsur cohomology and the Brauer group / S.U. Chase and A. Rosenberg. |
| Record Nr. | UNINA-9910827424003321 |
|
Chase Stephen U (Stephen Urban), <1932->
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||
| Providence, R.I. : , : American Mathematical Society, , 1965 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Galois theory for beginners : a historical perspective / Jörg Bewersdorff ; translated by David Kramer
| Galois theory for beginners : a historical perspective / Jörg Bewersdorff ; translated by David Kramer |
| Autore | Bewersdorff, Jörg |
| Pubbl/distr/stampa | Providence, R.I. : American Mathematical Society, c2006 |
| Descrizione fisica | xx, 180 p. : ill. ; 22 cm |
| Disciplina | 512.32 |
| Collana | Student mathematical library, 1520-9121 ; 35 |
| Soggetto topico |
Galois theory
Polynomials |
| ISBN |
0821838172
9780821838174 |
| Classificazione |
AMS 12-01
LC QA214.B49 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cubic equations ; Casus irreducibilis: The birth of the complex numbers ; Biquadratic equations ; Equations of degree n and their properties ; The search for additional solution formulas ; Equations that can be reduced in degree ; The construction of regular polygons ; The solution of equations of the fifth degree ; The Galois group of an equation ; Algebraic structures and Galois theory |
| Titolo uniforme | |
| Record Nr. | UNISALENTO-991003809069707536 |
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Bewersdorff, Jörg
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| Providence, R.I. : American Mathematical Society, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Soggetto topico
-
Galois theory
(115)
- Algebraic number theory (13)
- Homology theory (13)
- Associative algebras (7)
- Commutative rings (7)