The Quadratic Reciprocity Law/
Baumgart, Oswald
The Quadratic Reciprocity Law/ - New York: Springer,
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
978-3-319-16283-6
The Quadratic Reciprocity Law/ - New York: Springer,
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
978-3-319-16283-6