Quadratic Residues and Non-Residues

Selected Topics

Nonfiction, Science & Nature, Mathematics, Number Theory, Algebra
Cover of the book Quadratic Residues and Non-Residues by Steve Wright, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Steve Wright ISBN: 9783319459554
Publisher: Springer International Publishing Publication: November 11, 2016
Imprint: Springer Language: English
Author: Steve Wright
ISBN: 9783319459554
Publisher: Springer International Publishing
Publication: November 11, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Development of an Ultrafast Low-Energy Electron Diffraction Setup by Steve Wright
Cover of the book Impact of Biological Invasions on Ecosystem Services by Steve Wright
Cover of the book Ultrafast Dynamics of Phospholipid-Water Interfaces by Steve Wright
Cover of the book Cosmopolitanism in Twenty-First Century Fiction by Steve Wright
Cover of the book Nonparametric Bayesian Inference in Biostatistics by Steve Wright
Cover of the book Computer Science – Theory and Applications by Steve Wright
Cover of the book The Legal Technology Guidebook by Steve Wright
Cover of the book Mass Collaboration and Education by Steve Wright
Cover of the book Sabkha Ecosystems by Steve Wright
Cover of the book Shallow Water Waves on the Rotating Earth by Steve Wright
Cover of the book Hypertension: from basic research to clinical practice by Steve Wright
Cover of the book Game Theory for Managing Security in Chemical Industrial Areas by Steve Wright
Cover of the book Ordered Sets by Steve Wright
Cover of the book The Palgrave International Handbook of School Discipline, Surveillance, and Social Control by Steve Wright
Cover of the book Migration, Women and Social Development by Steve Wright
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy