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This book is the English translation of Baumgart's thesis on the
early proofs of the quadratic reciprocity law ("UEber das
quadratische Reciprocitatsgesetz. 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.
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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