LEADER 04371nam 2200685 450 001 9910463858203321 005 20211207032307.0 010 $a3-11-031850-4 024 7 $a10.1515/9783110318500 035 $a(CKB)2670000000494816 035 $a(EBL)1184382 035 $a(OCoLC)862746443 035 $a(SSID)ssj0001041172 035 $a(PQKBManifestationID)11577155 035 $a(PQKBTitleCode)TC0001041172 035 $a(PQKBWorkID)11009666 035 $a(PQKB)11105533 035 $a(MiAaPQ)EBC1184382 035 $a(DE-B1597)210334 035 $a(OCoLC)881296360 035 $a(DE-B1597)9783110318500 035 $a(Au-PeEL)EBL1184382 035 $a(CaPaEBR)ebr10811333 035 $a(CaONFJC)MIL808150 035 $a(EXLCZ)992670000000494816 100 $a20131031h20132013 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 00$aOn Pythagoreanism /$fedited by Gabriele Cornelli, Richard McKirahan and Constantinos Macris 210 1$aBerlin ;$aBoston :$cDe Gruyter Mouton,$d[2013] 210 4$dİ2013 215 $a1 online resource (552 p.) 225 1 $aStudia praesocratica ;$vBand 5 300 $aPapers from a conference held in 2011 in Brazil. 311 0 $a3-11-031845-8 320 $aIncludes bibliographical references and indexes. 327 $tFront matter --$tContents --$tIntroduction --$tPythagoreanism as an historiographical category: historical and methodological notes --$tApproaching Pythagoras of Samos: Ritual, Natural Philosophy and Politics --$tWhen Pythagoras was still Living in Samos (Heraclitus, frg. 129) --$tThe Pythagorean Akousmata and Early Pythagoreanism --$tPythagoras Homericus: Performance as Hermeneutic Horizon to Interpret Pythagorean Tradition --$tOrphics and Pythagoreans: the Greek perspective --$tOn the origin of the Orphic-Pythagorean notion of the immortality of the soul --$tPhilolaus on Number --$tArchytas and the duplication of the cube --$tPlato and the Pythagoreans --$tPhilolaus and Plato on method, measure and pleasure --$tEpicharmus and the plagiarism of Plato --$tPythagorean Number Doctrine in the Academy --$tEarly Pythagoreans in Aristotle?s account --$tThe Pythagorean Hypomnemata reported by Alexander Polyhistor in Diogenes Laertius (8.25?33): a proposal for reading --$tEudorus of Alexandria and the ?Pythagorean? pseudepigrapha --$tPythagoreanism in late antique Philosophy, after Proclus --$tFicino?s Pythagoras --$tA modern approximation to Pythagoreanism: Boscovich?s ?point atomism? --$tCurricula --$tIndex of Topics --$tIndex locorum --$tIndex nominum 330 $aThe purpose of the conference ?On Pythagoreanism?, held in Brasilia in 2011, was to bring together leading scholars from all over the world to define the status quaestionis for the ever-increasing interest and research on Pythagoreanism in the 21st century. The papers included in this volume exemplify the variety of topics and approaches now being used to understand the polyhedral image of one of the most fascinating and long-lasting intellectual phenomena in Western history. Cornelli?s paper opens the volume by charting the course of Pythagorean studies over the past two centuries. The remaining contributions range chronologically from Pythagoras and the early Pythagoreans of the archaic period (6th-5th centuries BCE) through the classical, hellenistic and late antique periods, to the eighteenth century. Thematically they treat the connections of Pythagoreanism with Orphism and religion, with mathematics, metaphysics and epistemology and with politics and the Pythagorean way of life. 410 0$aStudia praesocratica ;$vBd. 5. 606 $aPhilosophy, Ancient$vCongresses 606 $aPythagoras and Pythagorean school$vCongresses 606 $aPythagorean theorem$vCongresses 608 $aElectronic books. 615 0$aPhilosophy, Ancient 615 0$aPythagoras and Pythagorean school 615 0$aPythagorean theorem 676 $a182/.2 701 $aCornelli$b Gabriele$0327273 701 $aMacris$b Constantinos$01048443 701 $aMcKirahan$b Richard D$0186661 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910463858203321 996 $aOn Pythagoreanism$92476740 997 $aUNINA LEADER 04194nam 2200709 a 450 001 9910964825403321 005 20200520144314.0 010 $a9786611491246 010 $a9781281491244 010 $a1281491241 010 $a9783764387754 010 $a3764387750 024 7 $a10.1007/978-3-7643-8775-4 035 $a(CKB)1000000000440910 035 $a(EBL)367337 035 $a(OCoLC)272313415 035 $a(SSID)ssj0000145541 035 $a(PQKBManifestationID)11165442 035 $a(PQKBTitleCode)TC0000145541 035 $a(PQKBWorkID)10156930 035 $a(PQKB)11611159 035 $a(DE-He213)978-3-7643-8775-4 035 $a(Au-PeEL)EBL367337 035 $a(CaPaEBR)ebr10239484 035 $a(CaONFJC)MIL149124 035 $a(PPN)127052836 035 $a(MiAaPQ)EBC367337 035 $a(EXLCZ)991000000000440910 100 $a20081202d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aElliptic theory and noncommutative geometry $enonlocal elliptic operators /$fVladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin 205 $a1st ed. 2008. 210 $aBasel $cBirkha?user$d2008 215 $a1 online resource (232 p.) 225 1 $aOperator theory, advances and applications$aAdvances in partial differential equations ;$vv. 183 300 $aDescription based upon print version of record. 311 08$a9783764387747 311 08$a3764387742 320 $aIncludes bibliographical references and index. 327 $aAnalysis of Nonlocal Elliptic Operators -- Nonlocal Functions and Bundles -- Nonlocal Elliptic Operators -- Elliptic Operators over C*-Algebras -- Homotopy Invariants of Nonlocal Elliptic Operators -- Homotopy Classification -- Analytic Invariants -- Bott Periodicity -- Direct Image and Index Formulas in K-Theory -- Chern Character -- Cohomological Index Formula -- Cohomological Formula for the ?-Index -- Index of Nonlocal Operators over C*-Algebras -- Examples -- Index Formula on the Noncommutative Torus -- An Application of Higher Traces -- Index Formula for a Finite Group ?. 330 $aThis comprehensive yet concise book deals with nonlocal elliptic differential operators, whose coefficients involve shifts generated by diffeomorophisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such elliptic operators to topological invariants of the manifold itself. This problem can be solved by modern methods of noncommutative geometry. This is the first and so far the only book featuring a consistent application of methods of noncommutative geometry to the index problem in the theory of nonlocal elliptic operators. Although the book provides important results, which are in a sense definitive, on the above-mentioned topic, it contains all the necessary preliminary material, such as C*-algebras and their K-theory or cyclic homology. Thus the material is accessible for undergraduate students of mathematics (third year and beyond). It is also undoubtedly of interest for post-graduate students and scientists specializing in geometry, the theory of differential equations, functional analysis, etc. The book can serve as a good introduction to noncommutative geometry, which is one of the most powerful modern tools for studying a wide range of problems in mathematics and theoretical physics. 410 0$aOperator theory, advances and applications ;$vv. 183. 410 0$aOperator theory, advances and applications.$pAdvances in partial differential equations. 606 $aElliptic operators 606 $aNoncommutative differential geometry 615 0$aElliptic operators. 615 0$aNoncommutative differential geometry. 676 $a515.7242 700 $aNazai?kinskii?$b V. E$0497463 701 $aSavin$b Anton Yu$0310981 701 $aSternin$b B. I?U$01815291 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910964825403321 996 $aElliptic theory and noncommutative geometry$94370049 997 $aUNINA