The Quadratic Reciprocity Law/

By: Baumgart, OswaldMaterial type: TextTextPublication details: New York: Springer, ISBN: 978-3-319-16283-6Online resources: Click here to access online
Contents:
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
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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

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