000			03638nam a22005295i 4500
001			978-3-319-58184-2
003			DE-He213
005			20181204134419.0
007			cr nn 008mamaa
008			170801s2017 gw | s |||| 0|eng d
020			_a9783319581842 _9978-3-319-58184-2
024	7		_a10.1007/978-3-319-58184-2 _2doi
040			_aISI Library, Kolkata
050		4	_aQA641-670
072		7	_aPBMP _2bicssc
072		7	_aMAT012030 _2bisacsh
072		7	_aPBMP _2thema
082	0	4	_a516.36 _223
100	1		_aWells, Jr., Raymond O. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aDifferential and Complex Geometry: Origins, Abstractions and Embeddings _h[electronic resource] / _cby Raymond O. Wells, Jr.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2017.
300			_aXIV, 319 p. 47 illus., 18 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_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.
520			_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.
650		0	_aGlobal differential geometry.
650		0	_aGlobal analysis.
650		0	_aDifferential equations, partial.
650		0	_aAlgebraic topology.
650	1	4	_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022
650	2	4	_aGlobal Analysis and Analysis on Manifolds. _0http://scigraph.springernature.com/things/product-market-codes/M12082
650	2	4	_aSeveral Complex Variables and Analytic Spaces. _0http://scigraph.springernature.com/things/product-market-codes/M12198
650	2	4	_aProjective Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21050
650	2	4	_aAlgebraic Topology. _0http://scigraph.springernature.com/things/product-market-codes/M28019
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319581835
776	0	8	_iPrinted edition: _z9783319581859
776	0	8	_iPrinted edition: _z9783319863429
856	4	0	_uhttps://doi.org/10.1007/978-3-319-58184-2
912			_aZDB-2-SMA
942			_cEB
950			_aMathematics and Statistics (Springer-11649)
999			_c427109 _d427109