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ÊÁѤÃÊÁÒªÔ¡ | ¤ÙèÁ×Í¡ÒÃãªé | ÃÒª×èÍÊÁÒªÔ¡ | »¯Ô·Ô¹ | ¤é¹ËÒ | ¢éͤÇÒÁÇѹ¹Õé | ·Óà¤Ã×èͧËÁÒÂÍèÒ¹·Ø¡ËéͧáÅéÇ |
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à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ | ¤é¹ËÒã¹ËÑÇ¢é͹Õé |
#1
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«×éÍ˹ѧÊ×ͤ³ÔµÈÒʵÃì·Õèä˹
ÍÂÒ¡·ÃÒºÇèÒ Ë¹Ñ§Ê×Í·ÕèÁÕá¹Ð¹Óã¹àÇ纹ÕéÍФѺ àªè¹ Arts and Crafts of Problem Solving ¨ÐËÒ«×éÍä´é·Õèä˹ÍФѺ
¼ÁÅͧËÒµÒÁÃéҹ˹ѧÊ×Íàªè¹ ÈÙ¹Âì˹ѧÊ×ͨØÌÒÏ / Kinokuniya ¡çËÒäÁèà¨ÍÍФѺ ËÃ×ÍÇèÒµéͧÊ觫×éÍ·Ò§ internet ã¤ÃÃÙéªèǵͺ´éǤÃéÒºº |
#2
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áÅéÇ¡çã¤Ã¾Í¨ÐÁÕ˹ѧÊ×ͶÒÂ㹺éÒ§¤ÃѺ àªè¹Ë¹Ñ§Ê×ͧ͢¾Ç¡ªØÁ¹ØÁ¤³ÔµÈÒʵÃì ã¹âçàÃÕ¹ àµÃÕÂÁÍØ´ÁÈÖ¡ÉÒ ËÃ×Í ÁËÔ´ÅÇÔ·ÂÒ¹ØÊóì ÍФÃѺ
à·èÒ·Õè¼ÁÁյ͹¹Õé¤×Í[*] AVISO (ÁËÔ´Å)[*] Epitome (µ.Í.)[*] àÅ¢ (µ.Í.)[*] ... (à´ÕëÂÇ令鹡ÃØáÅéǨÐÁÒ¾ÔÁ¾ìà¾ÔèÁ¤ÃѺ) **˹ѧÊ×ÍàÅèÁä˹ ·ÕèäÁèÊÒÁÒöËÒ«×éÍä´éáÅéÇ ¼ÁÂÔ¹´Õ¶èÒÂàÍ¡ÊÒÃãËé¤ÃѺ áµèµéͧ¢Íà¡çº¤èÒ¶èÒÂàÍ¡ÊÒõÒÁ¤ÇÒÁ¨ÃÔ§¹Ð¤ÃѺ à¾ÃÒÐáµèÅÐàÅèÁ¡ç˹Òà»ç¹ÃéÍÂæ˹éÒ ãËé¼ÁàÅÕé§ËÅÐ ËÁ´µÑÇá¹è¤ÃѺ ) Êèǹ˹ѧÊ×Í·Õè µéͧ¡Òõ͹¹Õé¡ç¤Ô´ÇèÒÁÕ[*] CRUX (µ.Í)[*] Kingdom Math (µ.Í.)[*] ... (ã¤ÃÁÕÍÐäÃá¹Ð¹Ó´éǤÃѺ) ** Edit á¡é䢢éͤÇÒÁ¤ÃѺ
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[[:://R-Tummykung de Lamar\\::]] || (a,b,c > 0,a+b+c=3) $$\sqrt a+\sqrt b+\sqrt c\geq ab+ac+bc$$ 11 Á¡ÃÒ¤Á 2006 23:47 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ R-Tummykung de Lamar |
#3
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¤Ø³ÂÔ¹´Õ¶èÒÂàÍ¡ÊÒÃãËé¡ç¨Ô§
áµè¤Ø³¤Ô´ÇèÒ¤¹·Õè·Ó˹ѧÊ×ÍàËÅèÒ¹Ñé¹¢Öé¹ÁÒ¨ÐÂÔ¹´ÕàËÃͤÃѺ ·Õè˹ѧÊ×Í·ÕèÍصÊèÒËì·Ó¶Ù¡ÅÐàÁÔ´ÅÔ¢ÊÔ·¸Ôì ¼Á¤Ô´ÇèÒàÅèÁ¨ÃÔ§¡çÂѧÁÕ¢ÒÂÍÂÙè¹Ð¤ÃѺ¶éÒÅͧµÔ´µèÍ·ÕèªØÁ¹ØÁ¤³ÔµÈÒʵÃìâ´ÂµÃ§ |
#4
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ÍéÒ§ÍÔ§:
1. ÊÑ觫×éͨҡ amazon â´ÂµÃ§(ºÑµÃà¤Ã´Ôµ) ËÃ×ͼèÒ¹·Ò§ÈÙ¹Âì˹ѧÊ×ͨØÌÒ Ï µéͧÅͧµÃǨÊͺ¨Ò¡àÇ纴١è͹ÇèÒÂѧÁÕ¾ÔÁ¾ì¢ÒÂËÃ×ÍäÁè ¶éÒÂѧÁÕ·Õè¾ÔÁ¾ìÍÂÙè¡çµéͧãªéàÇÅÒÍÂèÒ§¹éÍ 1 à´×͹¤ÃѺ. ÇÔ¸Õ¹Õé¨ÐᾧáÅÐÃ͹ҹÁÒ¡¤ÃѺ ¼Áà¤ÂÊÑ觫×éÍ˹ѧÊ×Íà©ÅÂâÍÅÔÁ»Ô¡¢Í§ Ê.¹.¾ MAA µéͧ·Ñé§ÃÍãËéà¢Ò¾ÔÁ¾ìãËÁè áÅÐ˹ѧÊ×Í¡çᾧÁÒ¡·Õà´ÕÂÇ 2. ä»·ÕèËéͧÊÁØ´ ¤³Ð¤ÃØÈÒʵÃì ¨ØÌÒÏ (ÇѹàÊÒÃì¡çà»Ô´) ·ÕèªÑé¹ÅèÒ§µÃ§ Zone àÅ¢·Õèà»ç¹ÀÒÉÒÍѧ¡ÄÉ ¨ÐÁÕ˹ѧÊ×ÍàÅèÁ·ÕèÇèÒÍÂÙè ÊÒÁÒöËÂÔº¹Ó件èÒÂàÍ¡ÊÒÃä´é·ÕèÃéÒ¹«Öè§ÍÂÙèã¹ËéͧÊÁØ´ ¤ÃѺ. ÍéÒ§ÍÔ§:
¶éҤس [Cb : TkZ] ¾ÍÁÕ¤¹ÃÙé¨Ñ¡¡çÅͧªèǹéͧ Tummy µÔ´µèÍ¡ç´Õ¹Ð¤ÃѺ ÃÐÂзҧ¹Õèà»ç¹ÍØ»ÊÃä¾Í¤ÇÃàÍÒÍÂÙè¹Ð |
#5
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à´Ç»Õ˹éÒ Ãà ¼Á¨ÐàÃÔèÁ·Ó¨ØÅÊÒä³ÔµÈÒʵÃìáÅéǤÃѺ
àÃÔèÁÍÍ¡©ºÑºááà´×͹ÁԶعÒ¹¤ÃѺ Êè§ä»µÒÁ Ãà µèÒ§ æ ÀÒ¤à˹×Í - ·ÑèÇ»ÃÐà·È à´ÇµéͧÃÍ´Ù¡è͹ÅСѹ¹Ð¤ÃѺ (áͺâ»ÃâÁ·Ë¹è͹РÍÔÍÔ)
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Mathematics is the queen of Science. |
#6
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ÈÙ¹Âì˹ѧÊ×ͼÁà¤ÂµÔ´µèÍáÅéǤÃѺ ÊÓËÃѺ Arts and Crafts of Problem Solving àËç¹à¤éÒÇèÒà§Õº»ÒÂä»àÅ ¡çàÅÂà»ÅÕè¹ã¨ä»¶èÒÂàÍ¡ÊÒäÃѺ ¼ÁÇèÒ äÁèà»ç¹¡ÒÃÅÐàÁÔ´ÅÔ¢ÊÔ·¸Ôì ¹Ð¤ÃѺ ·Óà¾×èÍ¡ÒÃÈÖ¡ÉÒ ¼ÁÇèÒà¨éҢͧ˹ѧÊ×ͤ§¨ÐÂÔ¹´Õ áµè¶éÒàÍÒ仾ÔÁ¾ì¢ÒÂãËÁè â´ÂäÁèä´éÃѺ͹ØÒµ¨Ò¡¼Ùéà¢Õ¹Ẻ¹ÕéÊԤѺ ÅÐàÁÔ´ÅÔ¢ÊÔ·¸Ôì¢Í§¨Ô§
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PaTa PatA pAtA Pon! |
#7
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2 àÅèÁ·Õè¤Ø³ tummy µéͧ¡ÒÃà¹ÕèÂ
ÁÕ¢ÒÂÍÂÙè·Õè ÈÙ¹Âì˹ѧÊ×ͨØÌÒ ¤ÃѺ à¾Ôè§ä»ÁÒàÁ×èÍÇѹÍÒ·ÔµÂì ·ÕèáÅéÇ (äÁèÃÙéàËÁ×͹¡Ñ¹ÇèÒ·ÓäÁ¶Ö§ÁÕ CRUX ÁÒ¢ÒÂÍÂÙèä´é áµèÁѹÁÕ¨Ô§æ) ÊÒÁÒöÊÑ觫×éÍä´é·Ò§ internet ËÃ×Íä»ÃɳÕÂì¤ÃѺ |
#8
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ÍéÒ§ÍÔ§:
áµèºÒ§·Õ ˹ѧÊ×ͺҧàÅèÁ·Õèà¡èÒáÅéÇ ËÒ«×éÍÂÒ¡ÁÒ¡¨ÃÔ§æ («Ö觼Á´Ùਵ¹Ò˹ѧÊ×ÍáÅéÇ µéͧ¡ÒÃà¼Âá¾Ãè¤ÇÒÁÃÙéÁÒ¡¡ÇèÒµéͧ¡ÒáÓäÃ) ¼Á¡çäÁèÃÙé¨Ð·Óä§ ¾ÂÒÂÒÁµÔ´µèÍÊӹѡ¾ÔÁ¾ì ºÒ§Êӹѡ¾ÔÁ¾ì¡ç äÁèÁÕáÅéÇ㹻Ѩ¨ØºÑ¹ ¡ç ¢Íâ·ÉÅСѹ¹Ð¤ÃѺ à¾ÃÒмÁ´Ùã¹ÃÒª×èÍ˹ѧÊ×Í·Õè¼Á "ÂÔ¹´Õ¶èÒÂãËé" ºÒ§àÅèÁÂѧà»ç¹Ë¹Ñ§Ê×Í·ÕèÁÕÇÒ§¢ÒÂÍÂÙè (áµè¼Áµéͧ½Ò¡à¾×è͹仫×éÍ) ¡ç¢ÍÍÀÑÂÁÒ ³ ·Õè¹Õé´éÇÂÅСѹ (¼Á á¡éä¢ ¢éͤÇÒÁáÅéǹФÃѺ )
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[[:://R-Tummykung de Lamar\\::]] || (a,b,c > 0,a+b+c=3) $$\sqrt a+\sqrt b+\sqrt c\geq ab+ac+bc$$ |
#9
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àÃÕ¹¶ÒÁ¤Ø³ R-Tummykung de Lamar ÊÁÒªÔ¡ÍÒÇØâÊ
·ÕèºÍ¡ÇèÒÂÔ¹´ÕÊÓËÃѺ˹ѧÊ×ÍàÅèÁä˹ ·ÕèäÁèÊÒÁÒöËÒ«×éÍä´éáÅéÇ ¼ÁÂÔ¹´Õ¶èÒÂàÍ¡ÊÒÃãËé¤ÃѺ áµèµéͧ¢Íà¡çº¤èÒ¶èÒÂàÍ¡ÊÒõÒÁ¤ÇÒÁ¨ÃÔ§ ¨Ö§¢Í·ÃÒºÇèÒËÒ¡¼Áµéͧ¡ÒÃ˹ѧÊ×ʹѧ¡ÅèÒǤ×Í AVISO (ÁËÔ´Å) Epitome (µ.Í.) àÅ¢ (µ.Í.) áÅÐArts and Crafts of Problem Solving áÅÐ˹ѧÊ×Í㹡ÃØ äÁè·ÃÒºÇèÒ¾Õè¨Ð¡ÃسҶèÒÂàÍ¡ÊÒÃãËé¼Áä´éäËÁ¤ÃѺ â´Â¼ÁÂÔ¹´ÕãËé¾ÕèºÇ¡¡ÓäÃáÅФèÒãªé¨èÒÂ㹡ÒÃà´Ô¹·Ò§ ËÃ×ÍàÊÕÂàÇÅÒ¤ÃѺ ªèǺ͡ÇÔ¸ÕÃѺ˹ѧÊ×ͶèÒÂàÍ¡ÊÒâͧ¾Õè´éǤÃѺ ¢Íº¤Ø³
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½Ñ¹ãËéä¡Åä»ãËé¶Ö§ |
#10
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ÍéÒ§ÍÔ§:
Êèǹ àÅ¢ ¡Ñº AVISO µÔ´µèͪØÁ¹ØÁ¤³ÔµÈÒʵÃì¢Í§âçàÃÕ¹àµÃÕÂÁÍØ´ÁϡѺ âçàÃÕ¹ ÁËÔ´ÅÏ ´Ù¹Ð¤ÃµÑº à´ëǤØ¡ѹËÅѧäÁ¤ìÅСѹ (PM) »Å.Arts and Crafts of Problem Solving ¼ÁäÁèÁÕÍФÃѺ ã¤ÃÁÕ¼Á¡çÍÂÒ¡ä´éàËÁ×͹¡Ñ¹
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[[:://R-Tummykung de Lamar\\::]] || (a,b,c > 0,a+b+c=3) $$\sqrt a+\sqrt b+\sqrt c\geq ab+ac+bc$$ |
#11
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ã¤Ãà¤ÂÊÑ觫×éÍ˹ѧÊ×ͨҡ Amazon ºéÒ§ ÃÒ¤Òà»ç¹ÍÂèÒ§äúéÒ§ ¤èÒÊè§á¾§äËÁ ãªéàÇÅÒ»ÃÐÁÒ³à·èÒäËÃèä´é¤ÃѺ
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#12
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¤Ø³ SOS_math ËÒÂ仹ҹàŤÃѺ
¶éÒÊÑè§Ë¹Ñ§Ê×ͼèÒ¹ amazon à¤éҨФԴÃÒ¤ÒµÒÁ·Õè¢ÒÂã¹»ÃÐà·Èà¤éÒ¤ÃѺ ᾧÁÒ¡ ÊÙéäÁèäËÇ àËÍææ ºÒ§àÅèÁ 100 àËÃÕ »Òà¢éÒä»à¡×ͺ 5 ¾Ñ¹ºÒ· àËç¹ÃÒ¤ÒáÅéÇà¡×ͺ¨Òà»ç¹ÅÁ ÍÔÍÔ ÂѧäÁèá¹èã¨ÇèÒ¤Ô´¤èÒÊ觴éÇÂÃÖà»ÅèÒ¤ÃѺ ˹ѧÊ×Í·ÕèËÒ«×éÍäÁèä´é ¼Á¹ÔÂÁËÒ˹ѧÊ×͵ÒÁËéͧÊÁØ´ÁÒ¶èÒÂàÍ¡ÊÒÃà¡çºäÇé ÁÒ¡¡ÇèÒ ¤ÃѺ ÍÔÍÔ
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PaTa PatA pAtA Pon! |
#13
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¶éÒ¨ÐÊÑ觫×éÍ˹ѧÊ×͵èÒ§»ÃÐà·È
¼Áá¹Ð¹ÓãËéÊÑ觫×éÍ·Õè Asia Book ¨Ð´Õ¡ÇèÒ¤ÃѺ à¾ÃÒÐÇèÒà¢Òà»ç¹Ãéҹ˹ѧÊ×͵èÒ§»ÃÐà·Èâ´ÂµÃ§ ¼Áà¤ÂÊÑ觫×éÍ˹ѧÊ×ͨҡÈÙ¹Âì˹ѧÊ×ͨØÌÒ ÊÒ¢ÒÈÒÅÒ¾ÃÐà¡ÕéÂÇ »ÃÒ¡¯ÇèÒ ¼Á¾ÂÒÂÒÁàªç¤ÇèÒÁѹÁÕ˹ѧÊ×Í·Õèµéͧ¡ÒÃÍÂÙèËÃ×ÍäÁè ¾ºÇèÒ äÁèÁÕÃÒª×èÍ˹ѧÊ×Í·ÕèÇèÒ??? ·Ñé§æ·Õè¼Áá¹èã¨ÇèÒÁѹÁÕ¢ÒÂÍÂÙ躹¾×é¹âÅ¡¹Õé¨ÃÔ§æ áµèµÍ¹¼Áä»à´Ô¹àÅè¹·Õè siam paragon ¼Á¡çä´éä»·ÕèÃéÒ¹ asia book áÅéǼÁ¡ç¾ºÇèÒ ·Õè¹Ñè¹ à¢ÒÁÕ¤ÍÁ¾ÔÇàµÍÃìÍ͹äŹìäÇéµÅÍ´àÇÅÒ ¼Á¨Ö§à»Ô´àÇçº amazon áÅéǤé¹Ë¹Ñ§Ê×Í·Õèµéͧ¡Òè¹à¨Í áÅéÇ¡ç¶ÒÁ¾Õ边ѡ§Ò¹ÇèÒ "àÅèÁ¹ÕéÊÒÁÒöÊÑ觫×éÍä´éËÃ×ÍäÁè?" ¾Õèà¢ÒµÍºÇèÒ"ä´éÊÔ¤ÃѺ ·ÓäÁ¨ÐäÁèä´éÅèÐ?" áÅéÇ¡çàªç¤ÃÒ¤Òà»ç¹à§Ô¹ºÒ·ãËéÍÂèÒ§ÃÇ´àÃçÇ áÅéǼÁ¡ç¶ÒÁ¾Õèà¢ÒÇèÒ "ÊÁÁµÔÇèÒ àÃÒá¹èã¨ä´éÇèÒ Ë¹Ñ§Ê×Í·ÕèàÃÒµéͧ¡Òà ÁѹÁÕÍÂÙè¨ÃÔ§æ áÅСçÂѧ¨Ñ´¾ÔÁ¾ìÍÂÙè㹻Ѩ¨ØºÑ¹ áµèäÁèÁÕ¢ÒÂã¹ä·Â ¨ÐÁաóÕä˹ºéÒ§ ·ÕèäÁèÊÒÁÒöÊÑ觫×éÍä´é?" ¾Õèà¢Ò¡ç¤Ô´ÍÂÙèÊÑ¡¤ÃÙè˹Öè§ ¡è͹·Õè¨ÐµÍºÇèÒ "äÁèÁÕËÃÍ¡¤ÃѺ ¶éÒÁѹÂѧ¨Ñ´¾ÔÁ¾ìÍÂÙè àÃÒÊÑ觫×éÍãËéä´éá¹èæ" ¡çÍÂÒ¡½Ò¡à˵ءÒóì¹ÕéäÇéÅСѹ¤ÃѺ ¶éÒÍÂÒ¡ä´é˹ѧÊ×͵èÒ§»ÃÐà·È¨ÃÔ§æ µéͧ价Õè asia book àÍéÍ ¶éÒà¡Ô´¨ÐËÒ˹ѧÊ×Í´Õæ¹Ð¤ÃѺ ¼Á¢Íá¹Ð¹ÓãËéä»·ÕèËéͧÊÁØ´¢Í§ÊÊÇ·.´Ù ÁÕ˹ѧÊ×ÍÍ×éÍàÅ ·Ñé§ the art and craft of problem solving, math olympiad problems and solution from around the world, principle and technique of combinatorics , etc. ËÇѧÇèÒ¢éÍÁÙŹÕé¨Ðà»ç¹»ÃÐ⪹ìá¡è¼Ùé·Õèã½èÃÙéºéÒ§¹Ð¤ÃѺ
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ÃÑ¡¤³ÔµÈÒʵÃì |
#14
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¢Íº¤Ø³ÁÒ¡¤ÃѺ zzz010307 ¨ÃÔ§æ ¤¹ªÍº¤³Ôµ äÁèä´éãªéáµè»Ò¡¡Ò¡Ñº¡ÃдÒÉ ºÒ§·ÕàÃÒÍÂÒ¡ÍèÒ¹ ÍÂÒ¡ÃÙéà¾ÔèÁàµÔÁ ¹Õèà»ç¹ÍÕ¡à˵ؼÅ˹Ö觷ÕèºéÒ¹àÃÒ¤³ÔµÈÒµÃìä»äÁèä¡ÅÁÒ¡¹Ñ¡ à¾ÃÒÐÇèÒàÃÒ ÃÙéàÃÒáµèäÁèÃÙéà¢Ò ¼Á¤Ô´ÍÂèÒ§¹Õé¹Ð ºÒ§·Õ¼Á¡çªÍºÍèÒ¹º·¤ÇÒÁµèÒ§ æ ´éÇ à¾ÃÒÐÇèÒÁѹãËéÁØÁÁͧãËÁè æ àÂÍÐàÅ ¶éÒ¨ÓäÁè¼Ô´ ÍÂèÒ§¤¹·Õèá¡é»ÑËÒÊØ´·éÒ¢ͧá¿ÃìÁÒµìä´é ¡çÂѧÍÒÈÑ·Äɮպ·ºÒ§Íѹ¢Í§ªÒÇÕè»Øè¹àÅ ¤¹Í×è¹ÇèÒä§ Åͧáºè§»Ñ¹áÅ¡à»ÅÕ蹤ÇÒÁ¤Ô´àË繡ѹ¹Ð¤ÃѺ
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#15
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ÊÑ觡Ѻ Se-Ed books ¡çä´é¤ÃѺ ºÍ¡ª×èÍ˹ѧÊ×͡Ѻ ISBN ä» à¢Ò¨Ðá¨é§ÃÒ¤ÒãËé ÇÒ§ÁÑ´¨ÓäÇéÊèǹ˹Öè§ ¾Í˹ѧÊ×ÍÁÒ¶Ö§à¢Ò¨Ðâ·ÃµÒÁàÃÒ¤ÃѺ à·èÒ·ÕèÊÑè§ÁÒÊͧÊÒÁàÅèÁ¡çâÍहФÃѺ
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$ \rho\iota\gamma$o$\rho \ \iota\sigma \ \omega$o$\rho\kappa\iota\nu\gamma \ \eta\alpha\rho\delta $ |
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