LEADER 01108cam0-22003251i-450- 001 990005109170403321 005 20140221153349.0 035 $a000510917 035 $aFED01000510917 035 $a(Aleph)000510917FED01 035 $a000510917 100 $a19990604d1836----km-y0itay50------ba 101 1 $aita$clat 102 $aIT 105 $ay-------001yy 200 1 $aBiblioteca di Fozio patriarca di Costantinopoli$ftradotta in italiano dal cav. Giuseppe Compagnoni e ridotta a pił comodo uso degli studiosi 210 $aMilano$cper Giovanni Silvestri$d1836 215 $a2 v. (XVI, 392; 430 p.)$d17 cm 225 1 $aBiblioteca scelta di opere greche e latine tradotte in lingua italiana$v45$v46 500 10$aBibliotheca$m$922028 700 1$aPhothius Constantinopolitanus$f$0391403 702 1$aCompagnoni,$bGiuseppe 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990005109170403321 952 $aSG 880 A/14 (1)$bS.i.$fFLFBC 952 $aSG 880 A/14 (2)$bS.i.$fFLFBC 959 $aFLFBC 996 $aBibliotheca$922028 997 $aUNINA LEADER 03087nam 22005772 450 001 9910790365203321 005 20231102160119.0 010 $a0-88385-955-6 035 $a(CKB)2670000000205163 035 $a(EBL)3330416 035 $a(OCoLC)923220108 035 $a(SSID)ssj0000577632 035 $a(PQKBManifestationID)11376743 035 $a(PQKBTitleCode)TC0000577632 035 $a(PQKBWorkID)10562363 035 $a(PQKB)11199582 035 $a(UkCbUP)CR9780883859551 035 $a(MiAaPQ)EBC3330416 035 $a(Au-PeEL)EBL3330416 035 $a(CaPaEBR)ebr10729387 035 $a(OCoLC)929120334 035 $a(RPAM)12220236 035 $a(EXLCZ)992670000000205163 100 $a20111104d2000|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe geometry of numbers /$fC.D. Olds, Anneli Lax, Giuliana P. Davidoff$b[electronic resource] 210 1$aWashington :$cMathematical Association of America,$d2000. 215 $a1 online resource (xvi, 174 pages) $cdigital, PDF file(s) 225 1 $aThe Anneli Lax new mathematical library ;$vv. 41 300 $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015). 311 $a0-88385-643-3 320 $aIncludes bibliographical references and index. 327 $aLattice Points and Number Theory -- An Introduction to the Geometry of Numbers -- Gaussian Integers, by Peter D. Lax -- The Closest Packing of Convex Bodies -- Brief Biographies -- Solutions and Hints. 330 $aThe Geometry of Numbers presents a self-contained introduction to the geometry of numbers, beginning with easily understood questions about lattice-points on lines, circles, and inside simple polygons in the plane. Little mathematical expertise is required beyond an acquaintance with those objects and with some basic results in geometry. The reader moves gradually to theorems of Minkowski and others who succeeded him. On the way, he or she will see how this powerful approach gives improved approximations to irrational numbers by rationals, simplifies arguments on ways of representing integers as sums of squares, and provides a natural tool for attacking problems involving dense packings of spheres. An appendix by Peter Lax gives a lovely geometric proof of the fact that the Gaussian integers form a Euclidean domain, characterizing the Gaussian primes, and proving that unique factorization holds there. In the process, he provides yet another glimpse into the power of a geometric approach to number theoretic problems. 410 0$aAnneli Lax new mathematical library ;$vv. 41. 606 $aGeometry of numbers 615 0$aGeometry of numbers. 676 $a512/.75 700 $aOlds$b C. D$g(Carl Douglas),$f1912-1979,$01478602 702 $aLax$b Anneli 702 $aDavidoff$b Giuliana P. 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910790365203321 996 $aThe geometry of numbers$93852865 997 $aUNINA