LEADER 01010nam0-2200349---450- 001 990008839450403321 005 20090415100356.0 010 $a88-7326-058-6 035 $a000883945 035 $aFED01000883945 035 $a(Aleph)000883945FED01 035 $a000883945 100 $a20090415d2005----km-y0itay50------ba 101 0 $aita 102 $aIT 105 $ay-------011yy 200 1 $aStudi sul Risorgimento$escritti in memoria di Giuseppe Quaresima$fa cura di Marco Severini 210 $aAncona$cAffinità elettive$d[2005] 215 $a161 p.$d22 cm 225 1 $aStoria, storie$v39 610 0 $aRisorgimento italiano$aStudi 610 0 $aQuaresima, Giuseppe 676 $a945.083$v21$zita 702 1$aQuaresima,$bGiuseppe 702 1$aSeverini,$bMarco$f<1965- > 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990008839450403321 952 $aCollez. 2115 (39)$b43709$fFSPBC 959 $aFSPBC 996 $aStudi sul Risorgimento$9805068 997 $aUNINA LEADER 04157nam 22005535 450 001 9910855386703321 005 20250807130501.0 010 $a3-031-52223-0 024 7 $a10.1007/978-3-031-52223-9 035 $a(MiAaPQ)EBC31318941 035 $a(Au-PeEL)EBL31318941 035 $a(CKB)31889895800041 035 $a(DE-He213)978-3-031-52223-9 035 $a(EXLCZ)9931889895800041 100 $a20240502d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIrrationality, Transcendence and the Circle-Squaring Problem $eAn Annotated Translation of J. H. Lambert?s Vorläufige Kenntnisse and Mémoire /$fby Eduardo Dorrego López, Elías Fuentes Guillén 205 $a2nd ed. 2024. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2024. 215 $a1 online resource (176 pages) 225 1 $aLogic, Epistemology, and the Unity of Science,$x2214-9783 ;$v58 311 08$a3-031-52222-2 327 $aPart I: Antecedents -- Chapter 1. From Geometry to Analysis -- Chapter 2. The situation in the first half of the 18th century. Euler and continued fractions -- Part II: Johann Heinrich Lambert (1728?1777) -- Chapter 3. A biographical approach to Johann Heinrich Lambert -- Chapter 4. Outline of Lambert's Mémoire (1761/1768) -- Chapter 5. An anotated translation of Lambert's Mémoire (1761/1768) -- Chapter 6. Outine of Lambert's Vorläufige Kenntnisse (1766/1770) -- Chapter 6. An anotated translation of Lambert's Vorläufige Kenntnisse (1766/1770) -- Part III: The influence of Lambert's work and the development of irrational numbers -- Chapter 8. The state of irrationals until the turn of the century -- Chapter 9. Title to be set up. 330 $aThis publication, now in its second edition, includes an unabridged and annotated translation of two works by Johann Heinrich Lambert (1728?1777) written in the 1760s: Vorläufige Kenntnisse für die, so die Quadratur und Rectification des Circuls suchen and Mémoire sur quelques propriétés remarquables des quantités transcendentes circulaires et logarithmiques. The translations, as in the first edition, are accompanied by a contextualised study of each of these works and provide an overview of Lambert?s contributions, showing both the background and the influence of his work. In addition, by adopting a biographical approach, it allows readers to better get to know the scientist himself. Lambert was a highly relevant scientist and polymath in his time, admired by the likes of Kant, who despite having made a wide variety of contributions to different branches of knowledge, later faded into an undeserved secondary place with respect to other scientists of the eighteenth century. In mathematics, in particular, he is famous for his research on non-Euclidean geometries, although he is likely best known for having been the first who proved the irrationality of pi. In his Mémoire, he conducted one of the first studies on hyperbolic functions, offered a surprisingly rigorous proof of the irrationality of pi, established for the first time the modern distinction between algebraic and transcendental numbers, and based on such distinction, he conjectured the transcendence of pi and therefore the impossibility of squaring the circle. 410 0$aLogic, Epistemology, and the Unity of Science,$x2214-9783 ;$v58 606 $aMathematics 606 $aHistory 606 $aMathematics$xPhilosophy 606 $aHistory of Mathematical Sciences 606 $aPhilosophy of Mathematics 615 0$aMathematics. 615 0$aHistory. 615 0$aMathematics$xPhilosophy. 615 14$aHistory of Mathematical Sciences. 615 24$aPhilosophy of Mathematics. 676 $a128 700 $aDorrego Lo?pez$b Eduardo$01346448 702 $aFuentes Guille?n$b Eli?as 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910855386703321 996 $aIrrationality, Transcendence and the Circle-Squaring Problem$93074377 997 $aUNINA