The quadratic reciprocity law : a collection of classical proofs /: a collection of classical proofs. ([2015])

• Record Type: Book
• Uniform Title: Über das quadratische Reciprocitätsgesetz.
• Further Information: Note: Oswald Baumgart ; edited and translated by Franz Lemmermeyer.
• Authors: Baumgart, Oswald
• Editors: Lemmermeyer, Franz, 1962-
• Other Names: Lemmermeyer, Franz 1962- translator.
• Contents: 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.
• Publisher Details: Cham : Springer
• Publication Date: 2015
• Copyright Date: 2015
• Extent: 1 online resource (xiv, 172 pages)
• Subjects: 512.74; Mathematics; Algebraic number theory; MATHEMATICS -- Algebra -- Intermediate; Algebraic number theory; Mathematics; Number Theory; Number theory; Mathematics -- Number Theory; Number theory; Electronic books
• Languages: English
• ISBNs: 9783319162836; 3319162837; 3319162829; 9783319162829
• Related ISBNs: 9783319162829
• Notes: Note: Includes bibliographical references and indexes.; Note: Vendor-supplied metadata.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.