The Quadratic Reciprocity Law

A Collection of Classical Proofs

Nonfiction, Science & Nature, Mathematics, Number Theory
Cover of the book The Quadratic Reciprocity Law by Oswald Baumgart, Springer International Publishing
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Author: Oswald Baumgart ISBN: 9783319162836
Publisher: Springer International Publishing Publication: May 27, 2015
Imprint: Birkhäuser Language: English
Author: Oswald Baumgart
ISBN: 9783319162836
Publisher: Springer International Publishing
Publication: May 27, 2015
Imprint: Birkhäuser
Language: English

This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic reciprocity law (“Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise”), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre, as well as detailed descriptions of several early proofs of the quadratic reciprocity law. The second part highlights Baumgart’s comparisons of the principles behind these proofs. A current list of all known proofs of the quadratic reciprocity law, with complete references, is provided in the appendix.

This book will appeal to all readers interested in elementary number theory and the history of number theory.

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This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic reciprocity law (“Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise”), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre, as well as detailed descriptions of several early proofs of the quadratic reciprocity law. The second part highlights Baumgart’s comparisons of the principles behind these proofs. A current list of all known proofs of the quadratic reciprocity law, with complete references, is provided in the appendix.

This book will appeal to all readers interested in elementary number theory and the history of number theory.

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