LEADER 02646nam 2200649 450 001 9910823966303321 005 20230807220811.0 010 $a3-11-039279-8 024 7 $a10.1515/9783110369540 035 $a(CKB)3880000000002639 035 $a(EBL)1787110 035 $a(SSID)ssj0001552950 035 $a(PQKBManifestationID)16170915 035 $a(PQKBTitleCode)TC0001552950 035 $a(PQKBWorkID)14809287 035 $a(PQKB)11252296 035 $a(MiAaPQ)EBC1787110 035 $a(DE-B1597)428073 035 $a(OCoLC)911847214 035 $a(OCoLC)927947537 035 $a(DE-B1597)9783110369540 035 $a(Au-PeEL)EBL1787110 035 $a(CaPaEBR)ebr11072645 035 $a(CaONFJC)MIL802032 035 $a(EXLCZ)993880000000002639 100 $a20150716h20152015 uy 0 101 0 $aeng 135 $aurun#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aMultivariable calculus and differential geometry /$fGerard Walschap 210 1$aBerlin, Germany ;$aBoston, Massachusetts :$cDe Gruyter,$d2015. 210 4$dİ2015 215 $a1 online resource (366 p.) 225 0 $aDe Gruyter Textbook 300 $aIncludes index. 311 $a3-11-036949-4 311 $a3-11-036954-0 327 $tFront matter --$tPreface --$tContents --$t1. Euclidean Space --$t2. Differentiation --$t3. Manifolds --$t4. Integration on Euclidean space --$t5. Differential Forms --$t6. Manifolds as metric spaces --$t7. Hypersurfaces --$tAppendix A --$tAppendix B --$tIndex 330 $aThis book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics. The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem. 410 3$aDe Gruyter Textbook 606 $aCalculus 606 $aMathematical analysis 610 $aDifferential geometry. 610 $aRiemannian geometry. 615 0$aCalculus. 615 0$aMathematical analysis. 676 $a515 700 $aWalschap$b Gerard$0421839 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910823966303321 996 $aMultivariable calculus and differential geometry$93924105 997 $aUNINA LEADER 03940nam 22005052 450 001 9911018857203321 005 20251019235417.0 010 $a90-04-73185-7 035 $a(MiAaPQ)EBC32123744 035 $a(Au-PeEL)EBL32123744 035 $a(CKB)38833031000041 035 $a(OCoLC)1520916606 035 $a(nllekb)BRILL9789004731851 035 $a(EXLCZ)9938833031000041 100 $a20250404d2025 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIndo-Slavic Lexical Isoglosses and the Prehistoric Dispersal of Indo-Iranian /$fAxel I. Palme?r 205 $a1st ed. 210 1$aLeiden ;$aBoston :$cBrill,$d2025. 210 4$dİ2025 215 $a1 online resource (352 pages) 225 1 $aLanguage and Linguistics E-Books Online, Collection 2025 225 1 $aLeiden Studies in Indo-European ;$v26 311 08$a90-04-73053-2 320 $aIncludes bibliographical references and index. 327 $tAcknowledgements -- List of Tables and Figures -- List of abbreviations -- 1 Introduction -- ?1.1?Preliminaries: historical linguistics and the study of human prehistory -- ?1.2?Aim of the monograph -- ?1.3?State of the art: the position of Indo-Iranian within the Indo-European language family -- ?1.4?Research questions -- 2 Theory and methodology -- ?2.1?Introduction -- ?2.2?Phylogenetic subgrouping -- ?2.3?Dialectal subgrouping -- ?2.4?Hybrid models -- ?2.5?Linguistic palaeontology -- 3 Lexical isoglosses shared by Indo-Iranian and Balto-Slavic -- ?3.1?Introduction -- ?3.2?Isoglosses: plausible shared innovations -- ?3.3?Isoglosses: possible shared innovations -- ?3.4?Uncertain isoglosses -- ?3.5?Rejected isoglosses -- 4 Analysis of the Indo-Slavic isogloss corpus -- ?4.1?Introduction -- ?4.2?Attestation across Indo-Aryan, Iranian, Baltic, Slavic -- ?4.3?Typological classification of isoglosses -- ?4.4?Semantic clusters in the isogloss corpus -- ?4.5?Non-exclusive isoglosses -- ?4.6?Indo-Slavic? Innovations, archaisms, and quantity of isoglosses -- ?4.7?Indo-Slavic and alternative scenarios -- 5 The archaeology and genetics of Indo-Iranian prehistory -- ?5.1?Introduction -- ?5.2?The Indo-European homeland question -- ?5.3?The Sintashta culture as an archaeological context for Proto-Indo-Iranian -- ?5.4?The Abashevo culture as an archaeological context for Pre-Proto-Indo-Iranian -- ?5.5?From Yamnaya to Abashevo and Sintashta -- ?5.6?Integration with linguistic evidence -- ?5.7?Limitations and outlook -- Bibliography -- Word Index. 330 $aDuring the past decade, the ancient DNA revolution has had a massive impact on the scholarly debates on the origins and dispersals of language families. Now, linguists are asking the question: does linguistic and genetic evidence paint the same picture of the human past? This book sheds new light on an old hypothesis on the relatedness of Indo-Iranian and Balto-Slavic languages, by studying unique lexical correspondences of these branches. It argues that their common Indo-Slavic origin supports an emerging picture based on ancient DNA, which shows a genetic relationship between prehistoric populations of Eastern Europe and Central Asia. 410 0$aLanguage and Linguistics E-Books Online, Collection 2025. 410 0$aLeiden Studies in Indo-European ;$v26. 606 $aLanguage and languages 606 $aLinguistics 615 0$aLanguage and languages. 615 0$aLinguistics. 676 $a418/.007/054 700 $aPalme?r$b Axel I$g(Axel Ingemar),$f1994-$01842337 801 0$bNL-LeKB 801 1$bNL-LeKB 906 $aBOOK 912 $a9911018857203321 996 $aIndo-Slavic Lexical Isoglosses and the Prehistoric Dispersal of Indo-Iranian$94422391 997 $aUNINA