LEADER 02653nam 22005175 450 001 9910872191403321 005 20251217144512.0 010 $a9783031623844$b(electronic bk.) 010 $z9783031623837 024 7 $a10.1007/978-3-031-62384-4 035 $a(MiAaPQ)EBC31522027 035 $a(Au-PeEL)EBL31522027 035 $a(CKB)32704674400041 035 $a(DE-He213)978-3-031-62384-4 035 $a(EXLCZ)9932704674400041 100 $a20240708d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDifferential Geometry /$fby Paulo Ventura Araújo 205 $a1st ed. 2024. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2024. 215 $a1 online resource (190 pages) 311 08$aPrint version: Araújo, Paulo Ventura Differential Geometry Cham : Springer International Publishing AG,c2024 9783031623837 320 $aIncludes bibliographical references and index. 327 $aPreface -- Differentiable Curves -- Regular Surfaces -- The Geometry of the Gauss Map -- The Intrinsic Geometry of Surfaces -- The Global Geometry of Surfaces -- References -- Index. 330 $aThis textbook provides a concise introduction to the differential geometry of curves and surfaces in three-dimensional space, tailored for undergraduate students with a solid foundation in mathematical analysis and linear algebra. The book emphasizes the geometric content of the subject, aiming to quickly cover fundamental topics such as the isoperimetric inequality and the Gauss?Bonnet theorem. This approach allows the author to extend beyond the typical content of introductory books and include additional important geometric results, such as curves and surfaces of constant width, the classification of complete surfaces of non-negative constant curvature, and Hadamard's theorem on surfaces of non-positive curvature. This range of topics offers greater variety for an introductory course. 606 $aGeometry, Differential 606 $aDifferential Geometry 606 $aGeodèsiques (Matemàtica)$2thub 606 $aGeometria diferencial$2thub 608 $aLlibres electrònics.$2thub 615 0$aGeometry, Differential. 615 14$aDifferential Geometry. 615 7$aGeodèsiques (Matemàtica) 615 7$aGeometria diferencial 676 $a516.36 700 $aArau?jo$b Paulo Ventura$01744153 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910872191403321 996 $aDifferential Geometry$94173995 997 $aUNINA