书目名称 | The Quadratic Reciprocity Law | 副标题 | A Collection of Clas | 编辑 | Oswald Baumgart | 视频video | | 概述 | Presents detailed descriptions of many proofs of the quadratic reciprocity law.Compares and highlights the proofs’ similarities and differences.Features a list of all known proofs of the quadratic rec | 图书封面 |  | 描述 | .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.. | 出版日期 | Book 2015 | 关键词 | Legendre symbols; cyclotomy; quadratic Gauss sums; quadratic reciprocity law; quadratic residues | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-16283-6 | isbn_softcover | 978-3-319-36778-1 | isbn_ebook | 978-3-319-16283-6 | copyright | Springer International Publishing Switzerland 2015 |
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