LEADER 01485nam 2200397Ia 450 001 996395180503316 005 20210104171227.0 035 $a(CKB)3810000000015583 035 $a(EEBO)2240903095 035 $a(OCoLC)ocn297426146e 035 $a(OCoLC)297426146 035 $a(EXLCZ)993810000000015583 100 $a20090108d1700 uy 0 101 0 $aeng 135 $aurbn||||a|bb| 200 14$aThe art of dialling$b[electronic resource] $eperform'd geometrically, by scale and compasses: arithmetically, by the canons of sines and tangents: instrumentally, by a trigonal instrument ... /$fby William Leybourn, philomath 205 $aThe third edition. 210 $aLondon $cPrinted for A. Bettesworth, at the Red Lyon on London-Bridge$d[1700?] 215 $a[6], 166, 3-24 p., [4] folded leaves of plates $cill 300 $aDate of publication suggested by Wing (2nd ed.). 300 $aLacks leaf Y4. Cf. Wing (2nd ed.). 300 $aReproduction of original in: Folger Shakespeare Library. 330 $aeebo-0055 606 $aDialing$vEarly works to 1800 606 $aSundials$vEarly works to 1800 606 $aMathematical instruments$vEarly works to 1800 615 0$aDialing 615 0$aSundials 615 0$aMathematical instruments 700 $aLeybourn$b William$f1626-1716.$01001442 801 0$bUMI 801 1$bUMI 906 $aBOOK 912 $a996395180503316 996 $aThe art of dialling$92306900 997 $aUNISA LEADER 01356nam a2200337 i 4500 001 991000826419707536 005 20020506124912.0 008 951020s1976 ne ||| | eng 035 $ab10135054-39ule_inst 035 $aLE00637489$9ExL 040 $aDip.to Fisica$bita 084 $a53(082.2) 084 $a53.5.28 084 $a53.7.18 084 $a539.7'54 084 $aQC176.8 111 2 $aInternational conference on atomic collisions in solids$0461189 245 10$aAtomic collisions in solids :$bproceedings of the 6th International Conference on atomic collisions in solids /$cF. Saris, W.F. van der Weg 260 $aAmsterdam :$bNorth-Holland Publ. Co.,$c1976 490 0 $aInternational conference on atomic collisions in solids ;$v6 650 4$aChanneling $xCongresses 650 4$aSputtering (Physics)$xCongresses 650 4$aStopping power (Nuclear physics)$xCongresses 700 1 $aSaris, F. 700 1 $aWeg, W.F. van der$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0733124 907 $a.b10135054$b17-02-17$c27-06-02 912 $a991000826419707536 945 $aLE006 53.7.18 SAR$g1$i2006000058865$lle006$o-$pE0.00$q-$rl$s- $t0$u0$v0$w0$x0$y.i10159083$z27-06-02 996 $aAtomic collisions in solids$91444721 997 $aUNISALENTO 998 $ale006$b01-01-95$cm$da $e-$feng$gne $h0$i1 LEADER 03136nam 22005175 450 001 9910299762503321 005 20200706142108.0 010 $a3-319-16283-7 024 7 $a10.1007/978-3-319-16283-6 035 $a(CKB)3710000000416788 035 $a(EBL)2094512 035 $a(SSID)ssj0001501685 035 $a(PQKBManifestationID)11848062 035 $a(PQKBTitleCode)TC0001501685 035 $a(PQKBWorkID)11457052 035 $a(PQKB)10079546 035 $a(DE-He213)978-3-319-16283-6 035 $a(MiAaPQ)EBC2094512 035 $a(PPN)186026137 035 $a(EXLCZ)993710000000416788 100 $a20150527d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe Quadratic Reciprocity Law $eA Collection of Classical Proofs /$fby Oswald Baumgart 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015. 215 $a1 online resource (178 p.) 300 $aDescription based upon print version of record. 311 $a3-319-16282-9 320 $aIncludes bibliographical references and indexes. 327 $aTranslator?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. 330 $aThis 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. 606 $aNumber theory 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 615 0$aNumber theory. 615 14$aNumber Theory. 676 $a510 676 $a512.7 700 $aBaumgart$b Oswald$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755574 906 $aBOOK 912 $a9910299762503321 996 $aThe Quadratic Reciprocity Law$92499544 997 $aUNINA