Name: Quadratic Residues and Non-Residues: Selected Topics (Lecture Notes in Mathematics) (en Inglés)
Price: 102770.00 CLP
Availability: InStock
Author: Steve Wright
ISBN: 9783319459547

portada Quadratic Residues and Non-Residues: Selected Topics (Lecture Notes in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Steve Wright

Año

2016

Idioma

Inglés

N° páginas

292

Encuadernación

Tapa Blanda

ISBN13

9783319459547

N° edición

Categorías

Algebra

Quadratic Residues and Non-Residues: Selected Topics (Lecture Notes in Mathematics) (en Inglés)

Steve Wright (Autor) · Springer · Tapa Blanda

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Reseña del libro "Quadratic Residues and Non-Residues: Selected Topics (Lecture Notes in Mathematics) (en Inglés)"

This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental methods employed in modern elementary, algebraic, and analytic number theory. The first three chapters present some basic facts and the history of quadratic residues and non-residues and discuss various proofs of the Law of Quadratic Reciprosity in depth, with an emphasis on the six proofs that Gauss published. The remaining seven chapters explore some interesting applications of the Law of Quadratic Reciprocity, prove some results concerning the distribution and arithmetic structure of quadratic residues and non-residues, provide a detailed proof of Dirichlet's Class-Number Formula, and discuss the question of whether quadratic residues are randomly distributed. The text is a valuable resource for graduate and advanced undergraduate students as well as for mathematicians interested in number theory.