04052nam 22006495 450 991025430030332120200705042845.03-319-58184-810.1007/978-3-319-58184-2(CKB)3710000001631057(MiAaPQ)EBC4933647(DE-He213)978-3-319-58184-2(PPN)258872071(PPN)203853245(EXLCZ)99371000000163105720170801d2017 u| 0engurcnu||||||||rdacontentrdamediardacarrierDifferential and Complex Geometry: Origins, Abstractions and Embeddings[electronic resource] /by Raymond O. Wells, Jr1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (319 pages) illustrations (some color)3-319-58183-X Includes bibliographical references and index.Introduction -- 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.Differential 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.Differential geometryGlobal analysis (Mathematics)Manifolds (Mathematics)Functions of complex variablesProjective geometryAlgebraic topologyDifferential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Global Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Several Complex Variables and Analytic Spaceshttps://scigraph.springernature.com/ontologies/product-market-codes/M12198Projective Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21050Algebraic Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28019Differential geometry.Global analysis (Mathematics).Manifolds (Mathematics).Functions of complex variables.Projective geometry.Algebraic topology.Differential Geometry.Global Analysis and Analysis on Manifolds.Several Complex Variables and Analytic Spaces.Projective Geometry.Algebraic Topology.516.36Wells Jr., Raymond Oauthttp://id.loc.gov/vocabulary/relators/aut980218BOOK9910254300303321Differential and Complex Geometry: Origins, Abstractions and Embeddings2235923UNINA