Number Theory : The Essential Guide to Competition Math
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À¯Çϸ² Ä¿¸®Å§·³ Essential Math Series °æ½Ã ½ÃÇè ´ëºñ¸¦ À§ÇÑ Ã¥ Áß AMC 10(12), CEMC, ARML Local, Purple Comet Math Meet, Spirit of Math and Stanford SMILE International Contest¿Í °°Àº ½ÃÇèÀ» ´ëºñÇÏ´Â ±³ÀçÀÔ´Ï´Ù. AMC 10À» ÀÌ¹Ì ½ÃÀÛÇÏ´Â 8, 9, 10Çгâ Çѱ¹ ÇлýµéÀÌ AIME QualificationÀ» ¹Þ±â À§ÇØ °øºÎÇØ¾ß ÇÏ´Â Çʵ¶¼°¡ µÇ±æ ¹Ù¶ó´Â ¸¶À½À¸·Î ÁýÇÊÇÏ¿´½À´Ï´Ù. ÇöÀç ¹Ì±¹ ¸í¹® Boarding School ¹× ±¹³»¿Ü ¿Ü±¹ÀÎ Çб³¿¡ ´Ù´Ï´Â 8, 9, 10Çгâ ÇлýµéÀÌ AMC 10(12) ¹× ´Ù¸¥ °æ½Ã ½ÃÇè¿¡¼ ½ÇÁ¦·Î Àû±ØÀûÀ¸·Î »ç°í(think)ÇÏ°í, ¹®Á¦ Ç®ÀÌÀÇ ¹æÇâÀ» ÀâÀ» ¼ö ÀÖ±æ ¹Ù¶ó¸é¼ Ã¥À» ½è½À´Ï´Ù.
Preface 3
ÀÌ Ã¥ÀÇ Æ¯Â¡ 4
TOPIC 1 Divisor and Remainders 9
1.1 Divisor and Remainders 10
1.2 Parity and More 13
1.3 Prime Factorization 23
TOPIC 2 Least Common Multiple and Greatest Common Divisor 35
2.1 Least Common Multiple 36
2.2 Greatest Common Divisor 46
2.3 Eulidean Algorithm and Bezout's Identity 56
2.4 Application of LCM and GCD 68
TOPIC 3 Counting Divisors and More Arithmetic 79
3.1 Counting Divisors and More Arithmetic 80
TOPIC 4 Base-N Expression 97
4.1 Base-N Expression 98
TOPIC 5 Modular Arithmetic 115
5.1 Basic Knowledge of Modular Arithmetic 116
5.2 Application of Modular Arithmetic 126
TOPIC 6 Mixed Practice 139
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