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 Imaging Technologies and Data Processing for Food Engineers by Steve Wright
Cover of the book 5G Heterogeneous Networks by Steve Wright
Cover of the book Thriving Rough Sets by Steve Wright
Cover of the book Web Information Systems Engineering – WISE 2015 by Steve Wright
Cover of the book Sociology in Russia by Steve Wright
Cover of the book The Callias Index Formula Revisited by Steve Wright
Cover of the book Exploring Emotions, Aesthetics and Wellbeing in Science Education Research by Steve Wright
Cover of the book Responsible Investment Banking by Steve Wright
Cover of the book Excel 2016 for Physical Sciences Statistics by Steve Wright
Cover of the book Migrant Integration in Times of Economic Crisis by Steve Wright
Cover of the book Intelligent, Secure, and Dependable Systems in Distributed and Cloud Environments by Steve Wright
Cover of the book Arabic Language Processing: From Theory to Practice by Steve Wright
Cover of the book A Rigorous Semantics for BPMN 2.0 Process Diagrams by Steve Wright
Cover of the book Stochastic Processes and Applications by Steve Wright
Cover of the book Psychiatry and Neuroscience Update - Vol. II 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