TY  - BOOK
AU  - Baumgart, Oswald
TI  - The Quadratic Reciprocity Law
SN  - 978-3-319-16283-6
CY  - New York: 
PB  - Springer
N1  - Presentation of the Proofs of the Quadratic Reciprocity Law

From Fermat to Legendre

Gauss’s Proof by Mathematical Induction

Proof by Reduction

Eisenstein’s Proof Using Complex Analysis

Proofs Using Results from Cyclotomy

Proofs Based on the Theory of Quadratic Forms

The Supplementary Laws of the Quadratic Reciprocity Law and the Generalized Reciprocity Law

Algorithms for Determining the Quadratic Character

Comparative Presentation of the Principles on Which the Proofs of the Quadratic Reciprocity Law Are Based

Gauss’s Proof by Induction

Proofs by Reduction

Eisenstein’s Proofs Using Complex Analysis

Proofs Using Results from Cyclotomy

Proofs Based on the Theory of Quadratic Forms

Final Comments

Proofs of the Quadratic Reciprocity Law

UR  - http://link.springer.com/openurl?genre=book&isbn=978-3-319-16282-9
ER  -