The Quadratic Reciprocity Law : A Collection of Classical Proofs

Oswald Baumgart

ISBN 10: 3319162829 / ISBN 13: 9783319162829

Published by Birkhäuser, Springer, 2015

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783319162829

Bibliographic Details

• Title: The Quadratic Reciprocity Law : A Collection of Classical Proofs
• Publisher: Birkhäuser, Springer
• Publication Date: 2015
• Language: English
• ISBN 10: 3319162829
• ISBN 13: 9783319162829
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 16D millimeters 241 millimeters width by 160 millimeters height by 16 millimeters depth
• Weight: 453 grams

About this title

Synopsis

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.

About the Author

Franz Lemmermeyer received his Ph.D. from Heidelberg University and has worked at Universities in California and Turkey. He is now teaching mathematics at the Gymnasium St. Gertrudis in Ellwangen, Germany.