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010   $a3-319-58184-8
024 7 $a10.1007/978-3-319-58184-2
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035   $a(MiAaPQ)EBC4933647
035   $a(DE-He213)978-3-319-58184-2
035   $z(PPN)258872071
035   $a(PPN)203853245
035   $a(EXLCZ)993710000001631057
100   $a20170801d2017      u|             0
101 0 $aeng
135   $aurcnu||||||||
181   $2rdacontent
182   $2rdamedia
183   $2rdacarrier
200 10$aDifferential and Complex Geometry: Origins, Abstractions and Embeddings$b[electronic resource] /$fby Raymond O. Wells, Jr
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (319 pages) $cillustrations (some color)
311   $a3-319-58183-X 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- Part I. Geometry in the Age of Enlightenment -- Algebraic Geometry -- Differential Geometry -- Part II. Differential and Projective Geometry in the Nineteenth Century -- Projective Geometry -- Gauss and Intrinsic Differential Geometry -- Riemann's Higher-Dimensional Geometry -- Part III. Origins of Complex Geometry -- The Complex Plane -- Elliptic and Abelian Integrals -- Elliptic Functions -- Complex Analysis -- Riemann Surfaces -- Complex Geometry at the End of the Nineteenth Century -- Part IV. Twentieth-Century Embedding Theorems -- Differentiable Manifolds -- Riemannian Manifolds -- Compact Complex Manifolds -- Noncompact Complex Manifolds.
330   $aDifferential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century. Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash. Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.
606   $aDifferential geometry
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aFunctions of complex variables
606   $aProjective geometry
606   $aAlgebraic topology
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082
606   $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198
606   $aProjective Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21050
606   $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019
615  0$aDifferential geometry.
615  0$aGlobal analysis (Mathematics).
615  0$aManifolds (Mathematics).
615  0$aFunctions of complex variables.
615  0$aProjective geometry.
615  0$aAlgebraic topology.
615 14$aDifferential Geometry.
615 24$aGlobal Analysis and Analysis on Manifolds.
615 24$aSeveral Complex Variables and Analytic Spaces.
615 24$aProjective Geometry.
615 24$aAlgebraic Topology.
676   $a516.36
700   $aWells$b Jr., Raymond O$4aut$4http://id.loc.gov/vocabulary/relators/aut$0980218
906   $aBOOK
912   $a9910254300303321
996   $aDifferential and Complex Geometry: Origins, Abstractions and Embeddings$92235923
997   $aUNINA