MARC record from Internet Archive

LEADER: 04516cam 2200637 i 4500
001 ocn865554779
003 OCoLC
005 20220207171600.0
008 131218s2014 sz a ob 001 0 eng d
006 m o d
007 cr cnu|unuuu||
040 $aGW5XE$beng$erda$epn$cGW5XE$dN$T$dCOO$dYDXCP$dIDEBK$dCDX$dGGVRL$dOCLCO$dOCLCF$dTPH$dOCLCQ$dJG0$dFIE$dOCLCQ$dESU$dOCLCQ$dIOG$dOCLCO$dOCLCA$dCEF$dU3W$dYOU$dOL$$dOCLCO$dOCLCQ$dOCLCA$dAJS$dOCLCQ$dOCLCO
020 $a9783319017365$q(electronic bk.)
020 $a3319017365$q(electronic bk.)
020 $z9783319017358
024 7 $a10.1007/978-3-319-01736-5$2doi
035 $a(OCoLC)865554779
050 4 $aQA641
060 4 $aOnline Book
072 7 $aPBM$2bicssc
072 7 $aMAT012000$2bisacsh
072 7 $aMAT$x012000$2bisacsh
082 04 $a516.3/6$223
100 1 $aBorceux, Francis,$d1948-$eauthor.
245 12 $aA differential approach to geometry /$cFrancis Borceux.
264 1 $aCham :$bSpringer,$c2014.
300 $a1 online resource (xvi, 452 pages) :$billustrations
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aGeometric Trilogy ;$vIII
505 0 $aThe Genesis of Differential Methods -- Plane Curves -- A Museum of Curves -- Skew Curves -- Local Theory of Surfaces -- Towards Riemannian Geometry -- Elements of Global Theory of Surfaces -- Appendices: A. Topology -- B. Differential Equations.
504 $aIncludes bibliographical references and index.
520 $aThis book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providing an integrated presentation fully accessible to undergraduate-level students. At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions, not just those constructed from polynomials. During the 18th century, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter this fascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (the Euler-Poincare characteristics) associated with a surface gives you a lot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry, the geometry that underlies the theory of relativity. The book is of interest to all those who teach classical differential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to intuitively introduce students to the highly technical nature of this branch of mathematics, in particular when preparing students for courses on relativity.
588 0 $aOnline resource; title from PDF title page (SpringerLink, viewed November 11, 2013).
650 0 $aGeometry, Differential.
650 12 $aMathematics
650 7 $aMATHEMATICS$xGeometry$xGeneral.$2bisacsh
650 7 $aGeometry, Differential.$2fast$0(OCoLC)fst00940919
655 4 $aElectronic books.
830 0 $aGeometric Trilogy ;$vIII.
856 40 $3EBSCOhost$uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=662706
856 40 $3MyiLibrary$uhttp://www.myilibrary.com?id=585379
856 40 $3Scholars Portal$uhttp://books.scholarsportal.info/viewdoc.html?id=/ebooks/ebooks3/springer/2014-02-13/1/9783319017365
856 40 $3SpringerLink$uhttps://doi.org/10.1007/978-3-319-01736-5
856 40 $3SpringerLink$uhttps://link.springer.com/book/10.1007/978-3-319-01736-5
938 $aCoutts Information Services$bCOUT$n27950737
938 $aEBSCOhost$bEBSC$n662706
938 $aCengage Learning$bGVRL$nGVRL6VAJ
938 $aProQuest MyiLibrary Digital eBook Collection$bIDEB$ncis27950737
938 $aYBP Library Services$bYANK$n11355495
029 1 $aAU@$b000054755530
029 1 $aNLGGC$b37295717X
029 1 $aNZ1$b15499321
994 $aZ0$bP4A
948 $hNO HOLDINGS IN P4A - 318 OTHER HOLDINGS