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008 081109s1976 njua |b 001 0 eng d
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_bshakra
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_dvenkatrajand
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050 0 0 _aQA641
_b.C33 1976
100 1 _aCarmo, Manfredo Perdigao do.
_949174
245 1 0 _aDifferential Geometry of Curves and Surfaces /
_cManfredo P. do Carmo.
260 _aEnglewood Cliffs, N.J. :
_bPrentice-Hall,
_cc1976.
300 _aviii, 503 p. :
_bill. ;
_c24 cm.
500 _a"A free translation, with additional material, of a book and a set of notes, both published originally in Portuguese."
504 _aIncludes bibliographical references and index.
505 _a1. Curves: Parametrized Curves. 2. Regular Surfaces: Regular Surfaces; Inverse Images of Regular Values. 3. Geometry of the Gauss Map: Definition of the Gauss Map and Its Fundamental Properties. 4. Intrinsic Geometry of Surfaces: Isometrics; Conformal Maps. 5. Global Differential Geometry: Rigidity of the Sphere.
520 _aThis volume covers local as well as global differential geometry of curves and surfaces. *Makes extensive use of elementary linear algebra - with emphasis on basic geometrical facts rather than on machinery or random details. *Stresses the basic ideas of differential geometry - regular surfaces, the Gauss map, covariant derivatives. *Includes a large number of fully-worked examples.
650 0 _aGeometry, Differential.
_9904
650 0 _aCurves.
_949175
650 0 _aSurfaces.
_949176
942 _2lcc
_n0
_cBK
999 _c23241
_d23241