MARC Record from harvard_bibliographic_metadata

LEADER: 03264nam a22004215a 4500
001 013879531-2
005 20140103192757.0
008 131108s2014 gw | s ||0| 0|eng d
020 $a9783319017365
020 $a9783319017365
020 $a9783319017358
024 7 $a10.1007/978-3-319-01736-5$2doi
035 $a(Springer)9783319017365
040 $aSpringer
050 4 $aQA440-699
072 7 $aPBM$2bicssc
072 7 $aMAT012000$2bisacsh
082 04 $a516$223
100 1 $aBorceux, Francis,$eauthor.
245 12 $aA Differential Approach to Geometry :$bGeometric Trilogy III /$cby Francis Borceux.
264 1 $aCham :$bSpringer International Publishing :$bImprint: Springer,$c2014.
300 $aXVI, 452 p. 159 illus.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
505 0 $aIntroduction -- Preface -- 1.The Genesis of Differential Methods -- 2.Plane Curves -- 3.A Museum of Curves -- 4.Skew Curves -- 5.Local Theory of Surfaces -- 6.Towards Riemannian Geometry -- 7.Elements of Global Theory of Surfaces -- Appendices: A.Topology -- B.Differential Equations -- Index -- Bibliography.
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-Poincaré 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.
650 20 $aGeometry, Differential.
650 20 $aGeometry.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aGeometry.
650 0 $aGlobal differential geometry.
650 24 $aHistory of Mathematical Sciences.
776 08 $iPrinted edition:$z9783319017358
988 $a20131221
906 $0VEN