01891nam a22002657a 450000500170000000800410001702000180005802800210007608200110009710000220010824500820013026000670021230000230027936500110030250501980031352008620051165000130137365000280138665000130141465000270142770000210145494200080147599900170148395201250150020230510131205.0230510b        |||||||| |||| 00| 0 eng d  a9781470437404  a: Gifted by NBHM  a516.36  aKuhnel, Wolfgang.  a Differential geometry b: curves - surfaces - manifolds.c/,Wolfgang Kuhnel.  a, Providence, R.I.b: American Mathematical Societyc, ©2006.  axii,402p.c: 24cm.  bGifted  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  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."  a Courbes  aManifolds (Mathematics)  aSurfaces  aDifferential geometrie  aWolfgang Kuhnel.  cMDL  c60236d60236  00102ddc4070aSNULbSNULd2023-05-10eGifted by NBHMl0o516.36 KUHpM413r2023-05-18 00:00:00w2023-05-10yMDLzNBHM