The quadratic reciprocity law [electronic resource] : a collection of classical proofs / Oswald Baumgart ; edited and translated by Franz Lemmermeyer.

Translator?s Preface
Baumgart's Thesis
Introduction
First Part: 1. From Fermat to Legendre
2. Gauss's Proof by Mathematical Induction
3. Proof by Reduction
4. Eisenstein's Proof using Complex Analysis
5. Proofs using Results from Cyclotomy
6. Proofs based on the Theory of Quadratic Forms
7. The Supplementary Laws
8. Algorithms for Determining the Quadratic Character
Second Part: 9. Gauss's Proof by Induction
10. Proofs by Reduction
11. Eisenstein's Proofs using Complex Analysis
12. Proofs using Results from Cyclotomy
13. Proofs based on the Theory of Quadratic Forms
Final Comments
Proofs of the Quadratic Reciprocity Law
Author Index
Subject Index.