| 000 | 00000nam u2200205 a 4500 | |
| 001 | 000046036196 | |
| 005 | 20200710093749 | |
| 006 | m d | |
| 007 | cr | |
| 008 | 200702s2015 sz a ob 001 0 eng d | |
| 020 | ▼a 9783319162836 | |
| 040 | ▼a 211009 ▼c 211009 ▼d 211009 | |
| 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) |
소장정보
| No. | 소장처 | 청구기호 | 등록번호 | 도서상태 | 반납예정일 | 예약 | 서비스 |
|---|---|---|---|---|---|---|---|
| No. 1 | 소장처 중앙도서관/e-Book 컬렉션/ | 청구기호 CR 512.74 | 등록번호 E14027275 | 도서상태 대출불가(열람가능) | 반납예정일 | 예약 | 서비스 |