°³¶ËÀ̳׿¡¼ ÆÇ¸ÅµÈ "Çö´ë´ë¼öÇÐ" Á¤°¡ 30,000¿ø Æò±ÕÇÒÀΰ¡
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Á¦1ºÎ Á¤¼ö¿Í µ¿Ä¡°ü°è(Integers and Equivalence Relations) 0Àý µµÀÔ(Preliminaries)
Á¦2ºÎ ±º(Groups) 1Àý ±ºÀǼҰ³(Introduction to Groups) 2Àý ±º(Groups) 3Àý À¯Çѱº, ºÎºÐ±º(Finite Groups; Subgroups) 4Àý ¼øȯ±º(Cyclic Groups) 5Àý ġȯ±º(Permutation Groups) 6Àý µ¿Çü»ç»ó(Isomorphisms) 7Àý À׿©·ù¿Í LagrangeÁ¤¸®(Cosets and Lagrange's theorem) 8Àý ¿ÜÁ÷Àû(External Direct products) 9Àý Á¤±ÔºÎºÐ±º°ú »ó±º(Normal Subgroups and Factor Groups) 10Àý Áص¿Çü»ç»ó(Group Homomorphisms) 11Àý À¯Çѱâȯ±ºÀÇ ±âº»Á¤¸®(Fundamental Theorem of Finite Abelian Groups)
Á¦3ºÎ ȯ(Rings) 12Àý ȯÀÇ ¼Ò°³(Introduction to Rings) 13Àý Á¤¿ª(Integral Domains) 14Àý À̵¥¾Ë°ú »óȯ(Ideals and Factor Rings) 15Àý ȯÀÇ Áص¿Çü»ç»ó(Ring Homomorphisms) 16Àý ´ÙÇ×½Äȯ(Polynomial Rings) 17Àý ´ÙÇ×½ÄÀÇ ÀμöºÐÇØ(Factorization of Polynomials) 18Àý Á¤¿ªÀÇ ³ª´°¼À(Divisibility in Integral Domains)
Á¦4ºÎ ü(Fields) 19Àý º¤ÅÍ°ø°£(Vector Spaces) 20Àý È®´ëü(Extension Fields) 21Àý ´ë¼öÀû È®´ëü(Algebraic Extensions) 22Àý À¯ÇÑü(Finite fields) 23Àý ±âÇÏÀÛµµ(Geometric Constructions)
Á¦5ºÎ Special Topics 24Àý ½Ç·Î¿ì Á¤¸®(Sylow Theorems) 25Àý À¯ÇÑ ´Ü¼ø±º(Finite Simple Groups) 26Àý »ý¼º¿ø°ú °ü°è½Ä(Generatior and Relations) 27Àý ´ëĪ±º(Symmetry Groups) 28Àý Frieze ±º°ú Crystallographic ±º 29Àý ġȯ°ú °è»ê(Symmetry and Counting) 30Àý ±ºÀÇ Cayley À¯Çâ±×·¡ÇÁ (Cayley Diagraphs of Groups) 31Àý ´ë¼öÀû ºÎÈ£ÀÌ·ÐÀÇ ¼Ò°³(Introduction to Algebraic Coding Theory) 32Àý °¥·Î¾Æ ÀÌ·ÐÀÇ ±âÃÊ(An Introduction to Galois Theory) 33Àý ¿øºÐ È®´ëü(Cyclotomic Extensions)
ã¾Æº¸±â(Àθí) ã¾Æº¸±â(¿ë¾î) ¿¬½À¹®Á¦ Ç®ÀÌ
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