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ISBN : 978.89.7868.975.5
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01 ÇÊ¿äÇÑ ¼±Çü´ë¼ö¿Í ¹ÌÀûºÐÇÐ ÀÌ·Ð
  Á¦1Àý º¤ÅÍ°ø°£°ú ¼±Çü»ç»ó 7
  Á¦2Àý Á¢º¤ÅÍ, Á¢°ø°£ ±×¸®°í º¤ÅÍÀå 32
  Á¦3Àý ÀÇ µî°Å¸®»ç»ó 39

02 ±¹¼Ò °î¼±ÀÌ·Ð(Local Curve Theory)
  Á¦1Àý °î¼±ÀÇ Ç¥Çö, Á¤Ä¢°î¼±, °î¼±ÀÇ Àç¸Å°³È­ 47
  Á¦2Àý È£ÀÇ ±æÀÌ(Arc-length)¿¡ ÀÇÇÑ Àç¸Å°³È­ 51
  Á¦3Àý °î·ü°ú ºñƲ¸²·ü(Curvatures and Torsions) 58
  Á¦4Àý ÇÁ·¹³×-¼¼·¹ Á¤¸®(Frenet-Serret Theorem) 61
  Á¦5Àý °î¼±ÀÇ ±âº»Á¤¸®(Fundamental Theorem for Curves) 76
  Á¦6Àý ÀϹÝÀûÀÎ Á¤Ä¢°î¼± 83

03 ±¹¼Ò °î¸éÀÌ·ÐI (Local Surface Theory I)
  Á¦1Àý °î¸éÀÇ Ç¥Çö, ´Ü¼ø°î¸é(Simple Surface) 91
  Á¦2Àý °î¸é(Surface) 103
  Á¦3Àý Á¦1±âº»Çü½Ä(First Fundamental Form) 111
  Á¦4Àý ¹ý°î·ü, ÃøÁö°î·ü ±×¸®°í °¡¿ì½º°ø½Ä 119
(Normal Curvatures, Geodesic Curvatures, Gauss Formula)
  Á¦5Àý ÃøÁö¼±(Geodesics) 127
  Á¦6Àý ÆòÇ຤ÅÍÀå(Parallel Vector Fields) 141

04 ±¹¼Ò °î¸éÀÌ·Ð II(Local Surface Theory II)
  Á¦1Àý Á¦2±âº»Çü½Ä°ú ¿ÍÀΰ¡¸£ÅÙ»ç»ó 153
(Second Fundamental Forms and Weingarten Maps)
  Á¦2Àý ÁÖ°î·ü, °¡¿ì½º °î·ü, Æò±Õ°î·ü 163
(Principal Curvatures, Gaussian Curvatures, Mean Curvatures)
  Á¦3Àý °¡¿ì½ºÀÇ ³î¶ó¿î Á¤¸®(Gauss¡¯s Theorema Egregium) 174
  Á¦4Àý °î¸é°£ÀÇ µî°Å¸®»ç»ó(Isometry) 178
  Á¦5Àý µî°¢»ç»ó(Conformal Map) 186
  Á¦6Àý °¡¿ì½º°î·üÀÌ »ó¼öÀÎ °î¸é 193 
(Surfaces of Constant Gaussian Curvature)

05 ´ë¿ª °î¸éÀÌ·Ð(Global Surface Theory)
  Á¦1Àý °£´ÜÇÑ ´ë¿ªÀû ¼ºÁúµé 201
  Á¦2Àý ÃøÁöÁÂÇ¥Á¶°¢(Geodesic Coordinate Patches) 209
  Á¦3Àý ¹æÇ⼺(Orientability) 212
  Á¦4Àý °¡¿ì½º-º¸³× Á¤¸®(Gauss Bonnet Theorem) 217

¿¬½À¹®Á¦Ç®ÀÌ ¹× ÇØ´ä 233

Âü°í¹®Çå 287

ã¾Æº¸±â 288