000			01761nam a22002537a 4500
005			20230510131205.0
008			230510b |||||||| |||| 00| 0 eng d
020			_a9781470437404
028			_a: Gifted by NBHM
082			_a516.36
100			_aKuhnel, Wolfgang.
245			_a Differential geometry _b: curves - surfaces - manifolds. _c/,Wolfgang Kuhnel.
260			_a, Providence, R.I. _b: American Mathematical Society _c, ©2006.
300			_axii,402p. _c: 24cm.
365			_bGifted
505			_a Notations and prerequisites from analysis The local theory of surfaces The intrinsic geometry of surfaces Riemannian manifolds The curvature tensor Spaces of constant curvature Einstein spaces
520			_a"This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. Special topics that are explored include Frenet frames, ruled surfaces, minimal surfaces, and the Gauss-Bonnet theorem." "The second part is an introduction to the geometry of general manifolds, with particular emphasis on connections and curvature. The final two chapters are insightful examinations of the special cases of spaces of constant curvature and Einstein manifolds." "The text is illustrated with many figures and examples. For the second edition, a number of errors were corrected and some text and a number of figures have been added. The prerequisites are undergraduate analysis and linear algebra."
650			_a Courbes
650			_aManifolds (Mathematics)
650			_aSurfaces
650			_aDifferential geometrie
700			_aWolfgang Kuhnel.
942			_cMDL
999			_c60236 _d60236