Advanced Engineering Mathematics
Erwin Kreyszig
¤Ó
Wiley
Á¦ÈÞ¸ô ÁÖ¹® ½Ã °í°´º¸»ó, ÀϺΠÀ̺¥Æ® Âü¿© ¹× ÁõÁ¤Ç° ÁõÁ¤, ÇÏ·ç/´çÀÏ ¹è¼Û¿¡¼ Á¦¿ÜµÇ¹Ç·Î Âü°í ¹Ù¶ø´Ï´Ù.
PART A Ordinary Differential Equations (ODEs).
CHAPTER 1 First-Order ODEs.
CHAPTER 2 Second-Order Linear ODEs.
CHAPTER 3 Higher Order Linear ODEs.
CHAPTER 4 Systems of ODEs. Phase Plane. Qualitative Methods.
CHAPTER 5 Series Solutions of ODEs. Special Functions.
CHAPTER 6 Laplace Transforms.
PART B Linear Algebra. Vector Calculus.
CHAPTER 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems.
CHAPTER 8 Linear Algebra: Matrix Eigenvalue Problems.
CHAPTER 9 Vector Differential Calculus. Grad, Div, Curl.
CHAPTER 10 Vector Integral Calculus. Integral Theorems.
PART C Fourier Analysis. Partial Differential Equations (PDEs).
CHAPTER 11 Fourier Series, Integrals, and Transforms.
CHAPTER 12 Partial Differential Equations (PDEs).
PART D Complex Analysis.
CHAPTER 13 Complex Numbers and Functions.
CHAPTER 14 Complex Integration.
CHAPTER 15 Power Series, Taylor Series.
CHAPTER 16 Laurent Series. Residue Integration.
CHAPTER 17 Conf... ormal Mapping.
CHAPTER 18 Complex Analysis and Potential Theory.
PART E Numeric Analysis.
Software.
CHAPTER 19 Numerics in General.
CHAPTER 20 Numeric Linear Algebra.
CHAPTER 21 Numerics for ODEs and PDEs.
PART F Optimization, Graphs.
CHAPTER 22 Unconstrained Optimization. Linear Programming.
CHAPTER 23 Graphs. Combinatorial Optimization.
INDEX I1.
PHOTO CREDITS P1.
Erwin Kreyszig [Àú]
Àüü 0°³ÀÇ ±¸¸ÅÈıⰡ ÀÖ½À´Ï´Ù.
ÀÎÅÍÆÄÅ©µµ¼´Â °í°´´ÔÀÇ ´Ü¼ø º¯½É¿¡ ÀÇÇÑ ±³È¯°ú ¹ÝÇ°¿¡ µå´Â ºñ¿ëÀº °í°´´ÔÀÌ ÁöºÒÄÉ µË´Ï´Ù.
´Ü, »óÇ°À̳ª ¼ºñ½º ÀÚüÀÇ ÇÏÀÚ·Î ÀÎÇÑ ±³È¯ ¹× ¹ÝÇ°Àº ¹«·á·Î ¹ÝÇ° µË´Ï´Ù.
±³È¯ ¹× ¹ÝÇ°ÀÌ °¡´ÉÇÑ °æ¿ì
»óÇ°À» °ø±Þ ¹ÞÀº ³¯·ÎºÎÅÍ 7ÀÏÀ̳» °¡´É
°ø±Þ¹ÞÀ¸½Å »óÇ°ÀÇ ³»¿ëÀÌ Ç¥½Ã, ±¤°í ³»¿ë°ú ´Ù¸£°Å³ª ´Ù¸£°Ô ÀÌÇàµÈ °æ¿ì¿¡´Â °ø±Þ¹ÞÀº ³¯·ÎºÎÅÍ 3°³¿ù À̳», ȤÀº ±×»ç½ÇÀ» ¾Ë°Ô µÈ ³¯ ¶Ç´Â ¾Ë ¼ö ÀÖ¾ú´ø ³¯·ÎºÎÅÍ 30ÀÏ À̳»
»óÇ°¿¡ ¾Æ¹«·± ÇÏÀÚ°¡ ¾ø´Â °æ¿ì ¼ÒºñÀÚÀÇ °í°´º¯½É¿¡ ÀÇÇÑ ±³È¯Àº »óÇ°ÀÇ Æ÷Àå»óÅ µîÀÌ ÀüÇô ¼Õ»óµÇÁö ¾ÊÀº °æ¿ì¿¡ ÇÑÇÏ¿© °¡´É
±³È¯ ¹× ¹ÝÇ°ÀÌ ºÒ°¡´ÉÇÑ °æ¿ì
±¸¸ÅÈ®Á¤ ÀÌÈÄ(¿ÀǸ¶ÄÏ»óÇ°¿¡ ÇÑÇÔ)
°í°´´ÔÀÇ Ã¥ÀÓ ÀÖ´Â »çÀ¯·Î »óÇ° µîÀÌ ¸ê½Ç ¶Ç´Â ÈÑ¼ÕµÈ °æ¿ì
(´Ü, »óÇ°ÀÇ ³»¿ëÀ» È®ÀÎÇϱâ À§ÇÏ¿© Æ÷Àå µîÀ» ÈѼÕÇÑ °æ¿ì´Â Á¦¿Ü)
½Ã°£ÀÌ Áö³²¿¡ µû¶ó ÀçÆǸŰ¡ °ï¶õÇÒ Á¤µµ·Î ¹°Ç°ÀÇ °¡Ä¡°¡ ¶³¾îÁø °æ¿ì
Æ÷Àå °³ºÀµÇ¾î »óÇ° °¡Ä¡°¡ ÈÑ¼ÕµÈ °æ¿ì
´Ù¹è¼ÛÁöÀÇ °æ¿ì ¹ÝÇ° ȯºÒ
´Ù¹è¼ÛÁöÀÇ °æ¿ì ´Ù¸¥ Áö¿ªÀÇ ¹ÝÇ°À» µ¿½Ã¿¡ ÁøÇàÇÒ ¼ö ¾ø½À´Ï´Ù.
1°³ Áö¿ªÀÇ ¹ÝÇ°ÀÌ ¿Ï·áµÈ ÈÄ ´Ù¸¥ Áö¿ª ¹ÝÇ°À» ÁøÇàÇÒ ¼ö ÀÖÀ¸¹Ç·Î, ÀÌÁ¡ ¾çÇØÇØ Áֽñ⠹ٶø´Ï´Ù.
Áß°í»óÇ°ÀÇ ±³È¯
Áß°í»óÇ°Àº Á¦ÇÑµÈ Àç°í ³»¿¡¼ ÆǸŰ¡ ÀÌ·ç¾îÁö¹Ç·Î, ±³È¯Àº ºÒ°¡´ÉÇÕ´Ï´Ù.
¿ÀǸ¶ÄÏ »óÇ°ÀÇ È¯ºÒ
¿ÀǸ¶ÄÏ»óÇ°¿¡ ´ëÇÑ Ã¥ÀÓÀº ¿øÄ¢ÀûÀ¸·Î ¾÷ü¿¡°Ô ÀÖÀ¸¹Ç·Î, ±³È¯/¹ÝÇ° Á¢¼ö½Ã ¹Ýµå½Ã ÆǸÅÀÚ¿Í ÇùÀÇ ÈÄ ¹ÝÇ° Á¢¼ö¸¦ ÇϼžßÇϸç, ¹ÝÇ°Á¢¼ö ¾øÀÌ ¹Ý¼ÛÇϰųª, ¿ìÆíÀ¸·Î º¸³¾ °æ¿ì »óÇ° È®ÀÎÀÌ ¾î·Á¿ö ȯºÒÀÌ ºÒ°¡´ÉÇÒ ¼ö ÀÖÀ¸´Ï À¯ÀÇÇϽñ⠹ٶø´Ï´Ù.
¹è¼Û¿¹Á¤ÀÏ ¾È³»
ÀÎÅÍÆÄÅ© µµ¼´Â ¸ðµç »óÇ°¿¡ ´ëÇØ ¹è¼Û¿Ï·á¿¹Á¤ÀÏÀ» À¥»çÀÌÆ®¿¡ Ç¥½ÃÇÏ°í ÀÖ½À´Ï´Ù.
<ÀÎÅÍÆÄÅ© Á÷¹è¼Û »óÇ°>
»óÇ°Àº ¿ù~Åä¿äÀÏ ¿ÀÀü 10½Ã ÀÌÀü ÁÖ¹®ºÐ¿¡ ´ëÇÏ¿© ´çÀÏ Ãâ°í/´çÀÏ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇÏ´Â »óÇ°ÀÔ´Ï´Ù.
»óÇ°Àº ¼¿ïÁö¿ª/ÆòÀÏ ÁÖ¹®ºÐÀº ´çÀÏ Ãâ°í/ÀÍÀÏ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇϸç,
¼¿ï¿ÜÁö¿ª/ÆòÀÏ ÁÖ¹®ºÐÀÇ °æ¿ì´Â ¿ÀÈÄ 6½Ã±îÁö ÁÖ¹®ºÐ¿¡ ´ëÇÏ¿© ÀÍÀÏ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇÏ´Â »óÇ°ÀÔ´Ï´Ù.
(´Ü, ¿ù¿äÀÏÀº 12½Ã±îÁö ÁÖ¹®¿¡ ÇÑÇÔ)
»óÇ°Àº, ÀÔ°í¿¹Á¤ÀÏ(Á¦Ç°Ãâ½ÃÀÏ)+Åùè»ç¹è¼ÛÀÏ(1ÀÏ)¿¡ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇÕ´Ï´Ù.
~
»óÇ°Àº À¯ÅëƯ¼º»ó ÀÎÅÍÆÄÅ©¿¡¼ Àç°í¸¦ º¸À¯ÇÏÁö ¾ÊÀº »óÇ°À¸·Î ÁÖ¹®ÀÏ+±âÁØÃâ°íÀÏ+Åùè»ç¹è¼ÛÀÏ(1ÀÏ)¿¡ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇÕ´Ï´Ù.(Åä/°øÈÞÀÏÀº ¹è¼Û±â°£¿¡ Æ÷ÇÔµÇÁö ¾Ê½À´Ï´Ù.)
¡Ø±âÁØÃâ°íÀÏ:ÀÎÅÍÆÄÅ©°¡ »óÇ°À» ¼ö±ÞÇÏ¿© ¹°·ùâ°í¿¡¼ Æ÷Àå/Ãâ°íÇϱâ±îÁö ¼Ò¿äµÇ´Â ½Ã°£
<¾÷ü Á÷Á¢¹è¼Û/¿ÀǸ¶ÄÏ »óÇ°>
~
»óÇ°Àº ¾÷ü°¡ ÁÖ¹®À» È®ÀÎÇÏ°í, Ãâ°íÇϱâ±îÁö °É¸®´Â ½Ã°£ÀÔ´Ï´Ù. ÁÖ¹®ÀÏ+±âÁØÃâ°íÀÏ+Åùè»ç¹è¼ÛÀÏ(2ÀÏ)¿¡ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇÕ´Ï´Ù.(Åä/°øÈÞÀÏÀº ¹è¼Û±â°£¿¡ Æ÷ÇÔµÇÁö ¾Ê½À´Ï´Ù.)
¡Ø5ÀÏÀ̳» Ãâ°í°¡ ½ÃÀÛµÇÁö ¾ÊÀ»½Ã, ¿ÀǸ¶ÄÏ »óÇ°Àº ÀÚµ¿À¸·Î ÁÖ¹®ÀÌ Ãë¼ÒµÇ¸ç, °í°´´Ô²² Ç°Àýº¸»ó±ÝÀ» Áö±ÞÇØ µå¸³´Ï´Ù.
¹è¼Ûºñ ¾È³»
µµ¼(Áß°íµµ¼ Æ÷ÇÔ)¸¸ ±¸¸ÅÇϽøé : ¹è¼Ûºñ 2,000¿ø (1¸¸¿øÀÌ»ó ±¸¸Å ½Ã ¹«·á¹è¼Û) À½¹Ý/DVD¸¸ ±¸¸ÅÇϽøé : ¹è¼Ûºñ 1,500¿ø (2¸¸¿øÀÌ»ó ±¸¸Å ½Ã ¹«·á¹è¼Û)
ÀâÁö/¸¸È/±âÇÁÆ®¸¸ ±¸¸ÅÇϽøé : ¹è¼Ûºñ 2,000¿ø (2¸¸¿øÀÌ»ó ±¸¸Å ½Ã ¹«·á¹è¼Û)
µµ¼¿Í À½¹Ý/DVD¸¦ ÇÔ²² ±¸¸ÅÇϽøé : ¹è¼Ûºñ 1,500¿ø 1¸¸¿øÀÌ»ó ±¸¸Å ½Ã ¹«·á¹è¼Û)
µµ¼¿Í ÀâÁö/¸¸È/±âÇÁÆ®/Áß°íÁ÷¹è¼Û»óÇ°À» ÇÔ²² ±¸¸ÅÇϽøé : 2,000¿ø (1¸¸¿øÀÌ»ó ±¸¸Å ½Ã ¹«·á¹è¼Û)
¾÷üÁ÷Á¢¹è¼Û»óÇ°À» ±¸¸Å½Ã : ¾÷üº°·Î »óÀÌÇÑ ¹è¼Ûºñ Àû¿ë
* ¼¼Æ®»óÇ°ÀÇ °æ¿ì ºÎºÐÃë¼Ò ½Ã Ãß°¡ ¹è¼Ûºñ°¡ ºÎ°úµÉ ¼ö ÀÖ½À´Ï´Ù.
* ºÏÄ«Æ®¿¡¼ ¹è¼Ûºñ¾ø¾Ö±â ¹öÆ°À» Ŭ¸¯Çϼż, µ¿ÀϾ÷ü»óÇ°À» Á¶±Ý ´õ ±¸¸ÅÇϽøé, ¹è¼Ûºñ¸¦ Àý¾àÇÏ½Ç ¼ö ÀÖ½À´Ï´Ù.
Çؿܹè¼Û ¾È³»
ÀÎÅÍÆÄÅ©µµ¼¿¡¼´Â ±¹³»¿¡¼ ÁÖ¹®ÇϽðųª ÇØ¿Ü¿¡¼ ÁÖ¹®ÇÏ¿© ÇØ¿Ü·Î ¹è¼ÛÀ» ¿øÇÏ½Ç °æ¿ì DHL°ú Ư¾àÀ¸·Î Ã¥Á¤µÈ ¿ä±ÝÇ¥¿¡
ÀÇÇØ °³ÀÎÀÌ ÀÌ¿ëÇÏ´Â °æ¿ìº¸´Ù ¹è¼Û¿ä±ÝÀ» Å©°Ô ³·Ã߸ç DHL(www.dhl.co.kr)·Î Çؿܹè¼Û ¼ºñ½º¸¦ Á¦°øÇÕ´Ï´Ù.
Çؿܹè¼ÛÀº µµ¼/CD/DVD »óÇ°¿¡ ÇÑÇØ ¼ºñ½ºÇÏ°í ÀÖÀ¸¸ç, ´Ù¸¥ »óÇ°À» ºÏÄ«Æ®¿¡ ÇÔ²² ´ãÀ¸½Ç °æ¿ì Çؿܹè¼ÛÀÌ ºÒ°¡ÇÕ´Ï´Ù.
ÇØ¿ÜÁÖ¹®¹è¼Û ¼ºñ½º´Â ÀÎÅÍÆÄÅ© µµ¼ ȸ¿ø °¡ÀÔÀ» Çϼž߸¸ ½Åû °¡´ÉÇÕ´Ï´Ù.
¾Ë¾ÆµÎ¼¼¿ä!!!
µµ¸Å»ó ¹× Á¦ÀÛ»ç »çÁ¤¿¡ µû¶ó Ç°Àý/ÀýÆÇ µîÀÇ »çÀ¯·Î Ãë¼ÒµÉ ¼ö ÀÖ½À´Ï´Ù.
¿ÀǸ¶ÄϾ÷üÀÇ ¹è¼ÛÁö¿¬½Ã ÁÖ¹®ÀÌ ÀÚµ¿À¸·Î Ãë¼ÒµÉ ¼ö ÀÖ½À´Ï´Ù.
Ãâ°í°¡´É ½Ã°£ÀÌ ¼·Î ´Ù¸¥ »óÇ°À» ÇÔ²² ÁÖ¹®ÇÒ °æ¿ì Ãâ°í°¡´É ½Ã°£ÀÌ °¡Àå ±ä ±âÁØÀ¸·Î ¹è¼ÛµË´Ï´Ù.
À¯ÅëÀÇ Æ¯¼º»ó Ãâ°í±â°£Àº ¿¹Á¤º¸´Ù ¾Õ´ç°ÜÁö°Å³ª ´ÊÃçÁú ¼ö ÀÖ½À´Ï´Ù.
Åùè»ç ¹è¼ÛÀÏÀÎ ¼¿ï ¹× ¼öµµ±ÇÀº 1~2ÀÏ, Áö¹æÀº 2~3ÀÏ, µµ¼, »ê°£, ±ººÎ´ë´Â 3ÀÏ ÀÌ»óÀÇ ½Ã°£ÀÌ ¼Ò¿äµË´Ï´Ù.