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A Classical Introduction to Modern Number Theory /

Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along w...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ireland, Kenneth
Otros Autores: Rosen, Michael
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York, 1990.
Edición:Second edition.
Colección:Graduate texts in mathematics ; 84.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 2 |a A Classical Introduction to Modern Number Theory /  |c by Kenneth Ireland, Michael Rosen. 
250 |a Second edition. 
260 |a New York, NY :  |b Springer New York,  |c 1990. 
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505 0 |a Unique Factorization -- Applications of Unique Factorization -- Congruence -- The Structure of U(Z/nZ) -- Quadratic Reciprocity -- Quadratic Gauss Sums -- Finite Fields -- Gauss and Jacobi Sums -- Cubic and Biquadratic Reciprocity -- Equations Over Finite Fields -- The Zeta Function -- Algebraic Number Theory -- Quadratic and Cyclotomic Fields -- The Stickelberger Relation and the Eisenstein Reciprocity Law -- Bernoulli Numbers -- Dirichlet L-Functions -- Diophantine Equations -- Elliptic Curves -- The Mordell-Weil Theorem -- New Progress in Arithmetic Geometry -- Selected Hints for the Exercises -- Bibliography -- Index. 
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