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Springer Reciprocity Laws: From Euler to Eisenstein Book

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Description

Explore the historical and mathematical evolution of reciprocity laws with this Springer monograph. The text traces the development of these concepts starting from the early conjectures of Euler. It provides a detailed examination of the significant contributions made by Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Designed for readers with a foundation in basic algebraic number theory and Galois theory, this book offers deep discussions on reciprocity laws for quadratic, cubic, quartic, sextic, and octic residues. It also covers rational reciprocity laws and Eisenstein's reciprocity law. For researchers and historians, the included extensive bibliography serves as a valuable resource for studying the history of these mathematical principles or engaging with current research in the field.

Key Features

This Springer monograph covers the historical development of reciprocity laws from Euler's conjectures through the work of Gauss and Eisenstein.

The text provides detailed mathematical discussions regarding quadratic, cubic, quartic, sextic, and octic residues.

Readers can study rational reciprocity laws and Eisenstein's reciprocity law within this comprehensive volume.

An extensive bibliography is included to support those researching the history of reciprocity laws or modern mathematical developments.

The content is specifically tailored for those knowledgeable in Galois theory and basic algebraic number theory.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
03 December 2010
Listed Since
20 September 2010

Barcode

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