LEADER 02623nam 2200505 450 001 9910157426203321 005 20200918233519.0 010 $a0-486-81797-0 010 $a9780486817972 035 $a(OCoLC)966380938 035 $a(CKB)4340000000023006 035 $a(MiAaPQ)EBC4767649 035 $a(EXLCZ)994340000000023006 100 $a20161223h20162016 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aDifferential geometry of curves & surfaces /$fManfredo P. do Carmo (Instituto Nacional de Matematica, Pura e Aplicada IMPA), Reo de Janeiro, Brazil 205 $aRevised and updated second edition. 210 1$aMineola, New York :$cDover Publications, Inc.,$d2016. 210 4$dİ2016 215 $a1 online resource (529 pages) $cillustrations 311 $a0-486-80699-5 320 $aIncludes bibliographical references and index. 327 $aCurves -- Regular surfaces -- The geometry of the Gauss map -- The intrinsic geometry of surfaces -- Global differential geometry. 330 $aOne 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. 517 3 $aDifferential geometry of curves and surfaces 606 $aGeometry, Differential 606 $aCurves 606 $aSurfaces 615 0$aGeometry, Differential. 615 0$aCurves. 615 0$aSurfaces. 676 $a516.36 700 $aCarmo$b Manfredo Perdiga?o do$030396 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 801 2$bUCW 906 $aBOOK 912 $a9910157426203321 996 $aDifferential geometry of curves & surfaces$93399908 997 $aUNINA