A classical introduction to modern number theory / Kenneth Ireland, Michael Rosen
| A classical introduction to modern number theory / Kenneth Ireland, Michael Rosen |
| Autore | Ireland, Kenneth |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Berlin, : Springer, 1990 |
| Descrizione fisica | XIV, 389 p. ; 24 cm |
| Altri autori (Persone) | Rosen, Michael |
| Soggetto topico | 11-XX - Number theory [MSC 2020] |
| Soggetto non controllato |
Algebra
Algebraic number theory Arithmetic Diophantine Equations Elliptical Curves Finite fields Geometry Number theory Zeta functions |
| ISBN |
35-409-7329-X
978-03-87973-29-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0029957 |
Ireland, Kenneth
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| Berlin, : Springer, 1990 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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A classical introduction to modern number theory / Kenneth Ireland, Michael Rosen
| A classical introduction to modern number theory / Kenneth Ireland, Michael Rosen |
| Autore | Ireland, Kenneth |
| Pubbl/distr/stampa | New York, : Springer, 1982 |
| Descrizione fisica | xiii, 344 p. ; 24 cm |
| Altri autori (Persone) | Rosen, Michael |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11Rxx - Algebraic number theory: global fields [MSC 2020] 11Axx - Elementary number theory [MSC 2020] 12-XX - Field theory and polynomials [MSC 2020] 11Dxx - Diophantine equations [MSC 2020] 14H52 - Elliptic curves [MSC 2020] 11Mxx - Zeta and L-functions: analitic theory [MSC 2020] |
| Soggetto non controllato |
Algebra
Algebraic number theory Arithmetic Diophantine Equations Elliptical Curves Finite fields Geometry Number theory Zeta functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268463 |
Ireland, Kenneth
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| New York, : Springer, 1982 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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A Classical Invitation to Algebraic Numbers and Class Fields / Harvey Cohn
| A Classical Invitation to Algebraic Numbers and Class Fields / Harvey Cohn |
| Autore | Cohn, Harvey |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1978 |
| Descrizione fisica | xii, 328 p. : ill. ; 24 cm |
| Soggetto topico |
11Rxx - Algebraic number theory: global fields [MSC 2020]
12-XX - Field theory and polynomials [MSC 2020] |
| Soggetto non controllato |
Algebraic number theory
Arithmetic Boundary Element Methods Factor Fields Finite Finite fields Functions Morphism Number theory Prime Prime numbers Quadratic forms Zeta functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268133 |
Cohn, Harvey
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| New York, : Springer-Verlag, 1978 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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A History of Abstract Algebra : From Algebraic Equations to Modern Algebra / Jeremy Gray
| A History of Abstract Algebra : From Algebraic Equations to Modern Algebra / Jeremy Gray |
| Autore | Gray, Jeremy J. |
| Pubbl/distr/stampa | Cham, : Springer, 2018 |
| Descrizione fisica | xxiv, 415 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
13-XX - Commutative algebra [MSC 2020] 12-XX - Field theory and polynomials [MSC 2020] 01Axx - History of mathematics and mathematicians [MSC 2020] |
| Soggetto non controllato |
Abstract fields
Algebraic number theory Commutative rings Cyclotomy Dedekind theory of ideals Fermat's Last Theorem Galois theory Group theory Ideal theory Invariant theory Klein Erlangen program Klein’s Icosahedron Modern algebra history Quadratic forms Quadratic forms and ideals Quadratic reciprocity Quintic equation Zahlbericht Hilbert |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124508 |
Gray, Jeremy J.
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| Cham, : Springer, 2018 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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A Textbook of Algebraic Number Theory / Sudesh Kaur Khanduja
| A Textbook of Algebraic Number Theory / Sudesh Kaur Khanduja |
| Autore | Khanduja, Sudesh Kaur |
| Pubbl/distr/stampa | Singapore, : Springer, 2022 |
| Descrizione fisica | xviii, 253 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11Rxx - Algebraic number theory: global fields [MSC 2020] 11Sxx - Algebraic number theory: local and p-adic fields [MSC 2020] |
| Soggetto non controllato |
Algebraic number theory
Class number Decomposition of primes Integral basis Discriminant Ramified primes Units in number fields |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0278279 |
Khanduja, Sudesh Kaur
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| Singapore, : Springer, 2022 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Algebra, Analysis, and Associated Topics / Sandeep Singh, Mehmet Ali Sarigöl, Alka Munjal editors
| Algebra, Analysis, and Associated Topics / Sandeep Singh, Mehmet Ali Sarigöl, Alka Munjal editors |
| Pubbl/distr/stampa | Cham, : Birkhäuser, : Springer, 2022 |
| Descrizione fisica | xii, 237 p. : ill. ; 24 cm |
| Soggetto non controllato |
Algebraic number theory
Automorphism groups Brandt semigroups Central automorphism Field derivations Graph theory Mathematical analysis Number theory Quantum dynamical semigroup Semigroup group theory Sum-set combinatorics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0276156 |
| Cham, : Birkhäuser, : Springer, 2022 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres
| Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres |
| Autore | Hirschfeld J. W. P (James William Peter), <1940-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2008 |
| Descrizione fisica | 1 online resource (717 p.) |
| Disciplina | 516.352 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Curves, Algebraic
Finite fields (Algebra) |
| Soggetto non controllato |
Abelian group
Abelian variety Affine plane Affine space Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic extension Algebraic function Algebraic geometry Algebraic integer Algebraic number field Algebraic number theory Algebraic number Algebraic variety Algebraically closed field Applied mathematics Automorphism Birational invariant Characteristic exponent Classification theorem Clifford's theorem Combinatorics Complex number Computation Cyclic group Cyclotomic polynomial Degeneracy (mathematics) Degenerate conic Divisor (algebraic geometry) Divisor Dual curve Dual space Elliptic curve Equation Fermat curve Finite field Finite geometry Finite group Formal power series Function (mathematics) Function field Fundamental theorem Galois extension Galois theory Gauss map General position Generic point Geometry Homogeneous polynomial Hurwitz's theorem Hyperelliptic curve Hyperplane Identity matrix Inequality (mathematics) Intersection number (graph theory) Intersection number J-invariant Line at infinity Linear algebra Linear map Mathematical induction Mathematics Menelaus' theorem Modular curve Natural number Number theory Parity (mathematics) Permutation group Plane curve Point at infinity Polar curve Polygon Polynomial Power series Prime number Projective plane Projective space Quadratic transformation Quadric Resolution of singularities Riemann hypothesis Scalar multiplication Scientific notation Separable extension Separable polynomial Sign (mathematics) Singular point of a curve Special case Subgroup Sylow theorems System of linear equations Tangent Theorem Transcendence degree Upper and lower bounds Valuation ring Variable (mathematics) Vector space |
| ISBN | 1-4008-4741-9 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910786795203321 |
Hirschfeld J. W. P (James William Peter), <1940->
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| Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres
| Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres |
| Autore | Hirschfeld J. W. P (James William Peter), <1940-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2008 |
| Descrizione fisica | 1 online resource (717 p.) |
| Disciplina | 516.352 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Curves, Algebraic
Finite fields (Algebra) |
| Soggetto non controllato |
Abelian group
Abelian variety Affine plane Affine space Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic extension Algebraic function Algebraic geometry Algebraic integer Algebraic number field Algebraic number theory Algebraic number Algebraic variety Algebraically closed field Applied mathematics Automorphism Birational invariant Characteristic exponent Classification theorem Clifford's theorem Combinatorics Complex number Computation Cyclic group Cyclotomic polynomial Degeneracy (mathematics) Degenerate conic Divisor (algebraic geometry) Divisor Dual curve Dual space Elliptic curve Equation Fermat curve Finite field Finite geometry Finite group Formal power series Function (mathematics) Function field Fundamental theorem Galois extension Galois theory Gauss map General position Generic point Geometry Homogeneous polynomial Hurwitz's theorem Hyperelliptic curve Hyperplane Identity matrix Inequality (mathematics) Intersection number (graph theory) Intersection number J-invariant Line at infinity Linear algebra Linear map Mathematical induction Mathematics Menelaus' theorem Modular curve Natural number Number theory Parity (mathematics) Permutation group Plane curve Point at infinity Polar curve Polygon Polynomial Power series Prime number Projective plane Projective space Quadratic transformation Quadric Resolution of singularities Riemann hypothesis Scalar multiplication Scientific notation Separable extension Separable polynomial Sign (mathematics) Singular point of a curve Special case Subgroup Sylow theorems System of linear equations Tangent Theorem Transcendence degree Upper and lower bounds Valuation ring Variable (mathematics) Vector space |
| ISBN | 1-4008-4741-9 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910812510203321 |
Hirschfeld J. W. P (James William Peter), <1940->
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| Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic number theory / Frazer Jarvis
| Algebraic number theory / Frazer Jarvis |
| Autore | Jarvis, Frazer |
| Pubbl/distr/stampa | Cham, : Springer, 2014 |
| Descrizione fisica | XIII, 292 p. : ill. ; 24 cm |
| Soggetto topico | 11Rxx - Algebraic number theory: global fields [MSC 2020] |
| Soggetto non controllato |
Algebraic number theory
Class Groups Number Field Sieve Quadratic Fields Unique Factorisation |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0103813 |
Jarvis, Frazer
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| Cham, : Springer, 2014 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Algebraic number theory / Serge Lang
| Algebraic number theory / Serge Lang |
| Autore | Lang, Serge <1927-2005> |
| Edizione | [2nd ed] |
| Pubbl/distr/stampa | New York, : Springer, 1994 |
| Descrizione fisica | XIII, 357 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11Rxx - Algebraic number theory: global fields [MSC 2020] 11Sxx - Algebraic number theory: local and p-adic fields [MSC 2020] 11Txx - Finite fields and commutative rings (number-theoretic aspects) [MSC 2020] |
| Soggetto non controllato |
Algebraic number theory
Analytic Number Theory Number theory Zeta functions |
| ISBN |
03-87942-25-4
978-03-87942-25-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0024198 |
Lang, Serge <1927-2005>
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| New York, : Springer, 1994 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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