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The quadratic reciprocity law [electronic resource] : a collection of classical proofs

The quadratic reciprocity law [electronic resource] : a collection of classical proofs

Material type
E-Book(소장)
Personal Author
Baumgart, Oswald. Lemmermeyer, Franz, 1962-.
Title Statement
The quadratic reciprocity law [electronic resource] : a collection of classical proofs / Oswald Baumgart ; edited and translated by Franz Lemmermeyer.
Publication, Distribution, etc
Cham :   Springer International Publishing :   Imprint: Birkhäuser,   2015.  
Physical Medium
1 online resource (xiv, 172 p.) : ill.
ISBN
9783319162836
요약
This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic reciprocity law (“Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise”), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre, as well as detailed descriptions of several early proofs of the quadratic reciprocity law. The second part highlights Baumgart’s comparisons of the principles behind these proofs. A current list of all known proofs of the quadratic reciprocity law, with complete references, is provided in the appendix. This book will appeal to all readers interested in elementary number theory and the history of number theory.
General Note
Title from e-Book title page.  
Content Notes
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.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Algebraic number theory.
Short cut
URL
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008 200702s2015 sz a ob 001 0 eng d
020 ▼a 9783319162836
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041 1 ▼a eng ▼h ger
082 0 4 ▼a 512.74 ▼2 23
084 ▼a 512.74 ▼2 DDCK
090 ▼a 512.74
100 1 ▼a Baumgart, Oswald.
240 1 0 ▼a Über das quadratische Reciprocitätsgesetz. ▼l English
245 1 4 ▼a The quadratic reciprocity law ▼h [electronic resource] : ▼b a collection of classical proofs / ▼c Oswald Baumgart ; edited and translated by Franz Lemmermeyer.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Birkhäuser, ▼c 2015.
300 ▼a 1 online resource (xiv, 172 p.) : ▼b ill.
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a 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.
520 ▼a This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic reciprocity law (“Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise”), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre, as well as detailed descriptions of several early proofs of the quadratic reciprocity law. The second part highlights Baumgart’s comparisons of the principles behind these proofs. A current list of all known proofs of the quadratic reciprocity law, with complete references, is provided in the appendix. This book will appeal to all readers interested in elementary number theory and the history of number theory.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Algebraic number theory.
700 1 ▼a Lemmermeyer, Franz, ▼d 1962-.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-16283-6
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.74 Accession No. E14027275 Availability Loan can not(reference room) Due Date Make a Reservation Service M

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