02349nam a22004095i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172072001700186072002300203072001600226100009300242245007900335250001800414264007500432300003500507336002600542337002600568338003600594347002400630505018700654520080500841650003501646650003401681710003401715773002601749776003601775776003601811856004601847912001401893912001501907999001701922978-3-031-62384-4DE-He21320251030112618.0cr nn 008mamaa240708s2024    sz |    s    |||| 0|eng d  a97830316238449978-3-031-62384-47 a10.1007/978-3-031-62384-42doi 4aQA641-670 7aPBMP2bicssc 7aMAT0120302bisacsh 7aPBMP2thema1 aAraújo, Paulo Ventura.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98018710aDifferential Geometryh[electronic resource] /cby Paulo Ventura Araújo.  a1st ed. 2024. 1aCham :bSpringer International Publishing :bImprint: Springer,c2024.  aVIII, 185 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aPreface -- Differentiable Curves -- Regular Surfaces -- The Geometry of the Gauss Map -- The Intrinsic Geometry of Surfaces -- The Global Geometry of Surfaces -- References -- Index.  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. 0aGeometry, Differential.96968414aDifferential Geometry.9696862 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303162383708iPrinted edition:z978303162385140uhttps://doi.org/10.1007/978-3-031-62384-4  aZDB-2-SMA  aZDB-2-SXMS  c61422d61422