02623nam 2200505 450 991015742620332120200918233519.00-486-81797-09780486817972(OCoLC)966380938(CKB)4340000000023006(MiAaPQ)EBC4767649(EXLCZ)99434000000002300620161223h20162016 uy 0engurcnu||||||||rdacontentrdamediardacarrierDifferential geometry of curves & surfaces /Manfredo P. do Carmo (Instituto Nacional de Matematica, Pura e Aplicada IMPA), Reo de Janeiro, BrazilRevised and updated second edition.Mineola, New York :Dover Publications, Inc.,2016.©20161 online resource (529 pages) illustrations0-486-80699-5 Includes bibliographical references and index.Curves -- Regular surfaces -- The geometry of the Gauss map -- The intrinsic geometry of surfaces -- Global differential geometry.One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems. The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.Differential geometry of curves and surfacesGeometry, DifferentialCurvesSurfacesGeometry, Differential.Curves.Surfaces.516.36Carmo Manfredo Perdigão do30396MiAaPQMiAaPQMiAaPQUCWBOOK9910157426203321Differential geometry of curves & surfaces3399908UNINA