{"id":2763,"date":"2025-12-23T21:24:08","date_gmt":"2025-12-23T14:24:08","guid":{"rendered":"https:\/\/kienthucmo.com\/?p=2763"},"modified":"2025-12-23T21:27:00","modified_gmt":"2025-12-23T14:27:00","slug":"introduction-to-algorithms-3rd-edition","status":"publish","type":"post","link":"https:\/\/kienthucmo.com\/vi\/introduction-to-algorithms-3rd-edition\/","title":{"rendered":"Introduction to Algorithms, 3rd Edition"},"content":{"rendered":"\n<p>Trong l\u0129nh v\u1ef1c c\u00f4ng ngh\u1ec7 th\u00f4ng tin, \u0111\u1eb7c bi\u1ec7t l\u00e0 khoa h\u1ecdc m\u00e1y t\u00ednh v\u00e0 k\u1ef9 thu\u1eadt ph\u1ea7n m\u1ec1m, thu\u1eadt to\u00e1n \u0111\u00f3ng vai tr\u00f2 nh\u01b0 \u201cx\u01b0\u01a1ng s\u1ed1ng\u201d c\u1ee7a m\u1ecdi h\u1ec7 th\u1ed1ng. D\u00f9 l\u00e0 x\u00e2y d\u1ef1ng m\u1ed9t \u1ee9ng d\u1ee5ng web \u0111\u01a1n gi\u1ea3n, t\u1ed1i \u01b0u h\u1ec7 th\u1ed1ng c\u01a1 s\u1edf d\u1eef li\u1ec7u hay ph\u00e1t tri\u1ec3n c\u00e1c m\u00f4 h\u00ecnh tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o ph\u1ee9c t\u1ea1p, t\u1ea5t c\u1ea3 \u0111\u1ec1u d\u1ef1a tr\u00ean vi\u1ec7c l\u1ef1a ch\u1ecdn v\u00e0 tri\u1ec3n khai thu\u1eadt to\u00e1n ph\u00f9 h\u1ee3p. Tuy nhi\u00ean, vi\u1ec7c h\u1ecdc v\u00e0 hi\u1ec3u thu\u1eadt to\u00e1n kh\u00f4ng ch\u1ec9 d\u1eebng l\u1ea1i \u1edf m\u1ee9c \u201cbi\u1ebft d\u00f9ng\u201d, m\u00e0 c\u00f2n \u0111\u00f2i h\u1ecfi n\u1ec1n t\u1ea3ng l\u00fd thuy\u1ebft v\u1eefng ch\u1eafc \u0111\u1ec3 ph\u00e2n t\u00edch, \u0111\u00e1nh gi\u00e1 v\u00e0 t\u1ed1i \u01b0u.<\/p>\n\n\n\n<p>Trong s\u1ed1 r\u1ea5t nhi\u1ec1u t\u00e0i li\u1ec7u v\u1ec1 thu\u1eadt to\u00e1n, <strong>Introduction to Algorithms<\/strong> (th\u01b0\u1eddng \u0111\u01b0\u1ee3c g\u1ecdi t\u1eaft l\u00e0 <strong>CLRS<\/strong>, theo ch\u1eef c\u00e1i \u0111\u1ea7u c\u1ee7a b\u1ed1n t\u00e1c gi\u1ea3) \u0111\u01b0\u1ee3c xem l\u00e0 cu\u1ed1n s\u00e1ch kinh \u0111i\u1ec3n v\u00e0 c\u00f3 \u1ea3nh h\u01b0\u1edfng s\u00e2u r\u1ed9ng nh\u1ea5t. \u0110\u00e2y kh\u00f4ng ch\u1ec9 l\u00e0 m\u1ed9t gi\u00e1o tr\u00ecnh chu\u1ea9n trong c\u00e1c tr\u01b0\u1eddng \u0111\u1ea1i h\u1ecdc h\u00e0ng \u0111\u1ea7u th\u1ebf gi\u1edbi, m\u00e0 c\u00f2n l\u00e0 t\u00e0i li\u1ec7u tham kh\u1ea3o l\u00e2u d\u00e0i cho sinh vi\u00ean, l\u1eadp tr\u00ecnh vi\u00ean v\u00e0 c\u00e1c nh\u00e0 nghi\u00ean c\u1ee9u. Cu\u1ed1n s\u00e1ch cung c\u1ea5p m\u1ed9t c\u00e1i nh\u00ecn to\u00e0n di\u1ec7n, c\u00f3 h\u1ec7 th\u1ed1ng v\u00e0 ch\u1eb7t ch\u1ebd v\u1ec1 thu\u1eadt to\u00e1n, t\u1eeb nh\u1eefng kh\u00e1i ni\u1ec7m c\u01a1 b\u1ea3n \u0111\u1ebfn c\u00e1c ch\u1ee7 \u0111\u1ec1 n\u00e2ng cao.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1. Th\u00f4ng tin c\u01a1 b\u1ea3n v\u1ec1 cu\u1ed1n s\u00e1ch<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>T\u00ean s\u00e1ch:<\/strong> Introduction to Algorithms<\/li>\n\n\n\n<li><strong>T\u00e1c gi\u1ea3:<\/strong> Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, Clifford Stein<\/li>\n\n\n\n<li><strong>Nh\u00e0 xu\u1ea5t b\u1ea3n:<\/strong> MIT Press<\/li>\n\n\n\n<li><strong>L\u0129nh v\u1ef1c:<\/strong> Khoa h\u1ecdc m\u00e1y t\u00ednh, thu\u1eadt to\u00e1n v\u00e0 c\u1ea5u tr\u00fac d\u1eef li\u1ec7u<\/li>\n\n\n\n<li><strong>Ng\u00f4n ng\u1eef:<\/strong> Ti\u1ebfng Anh<\/li>\n\n\n\n<li><strong>\u0110\u1ed1i t\u01b0\u1ee3ng ch\u00ednh:<\/strong> Sinh vi\u00ean \u0111\u1ea1i h\u1ecdc \u2013 sau \u0111\u1ea1i h\u1ecdc ng\u00e0nh CNTT, khoa h\u1ecdc m\u00e1y t\u00ednh, k\u1ef9 s\u01b0 ph\u1ea7n m\u1ec1m<\/li>\n<\/ul>\n\n\n\n<p>Cu\u1ed1n s\u00e1ch l\u1ea7n \u0111\u1ea7u \u0111\u01b0\u1ee3c xu\u1ea5t b\u1ea3n v\u00e0o n\u0103m 1990 v\u00e0 li\u00ean t\u1ee5c \u0111\u01b0\u1ee3c c\u1eadp nh\u1eadt qua nhi\u1ec1u \u1ea5n b\u1ea3n. M\u1ed7i l\u1ea7n t\u00e1i b\u1ea3n \u0111\u1ec1u b\u1ed5 sung thu\u1eadt to\u00e1n m\u1edbi, c\u1ea3i ti\u1ebfn c\u00e1ch tr\u00ecnh b\u00e0y v\u00e0 m\u1edf r\u1ed9ng c\u00e1c ch\u1ee7 \u0111\u1ec1 hi\u1ec7n \u0111\u1ea1i, ph\u1ea3n \u00e1nh s\u1ef1 ph\u00e1t tri\u1ec3n kh\u00f4ng ng\u1eebng c\u1ee7a khoa h\u1ecdc m\u00e1y t\u00ednh. \u0110i\u1ec1u l\u00e0m n\u00ean gi\u00e1 tr\u1ecb b\u1ec1n v\u1eefng c\u1ee7a <strong>Introduction to Algorithms<\/strong> l\u00e0 c\u00e1ch ti\u1ebfp c\u1eadn mang t\u00ednh h\u1ecdc thu\u1eadt cao nh\u01b0ng v\u1eabn gi\u1eef \u0111\u01b0\u1ee3c t\u00ednh h\u1ec7 th\u1ed1ng v\u00e0 chu\u1ea9n m\u1ef1c, gi\u00fap ng\u01b0\u1eddi \u0111\u1ecdc kh\u00f4ng ch\u1ec9 h\u1ecdc \u201cc\u00e1ch l\u00e0m\u201d m\u00e0 c\u00f2n hi\u1ec3u \u201cv\u00ec sao ph\u1ea3i l\u00e0m nh\u01b0 v\u1eady\u201d.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">2. T\u00f3m t\u1eaft s\u01a1 l\u01b0\u1ee3c n\u1ed9i dung<\/h2>\n\n\n\n<p>N\u1ed9i dung c\u1ee7a <strong>Introduction to Algorithms<\/strong> \u0111\u01b0\u1ee3c t\u1ed5 ch\u1ee9c m\u1ed9t c\u00e1ch logic, t\u1eeb n\u1ec1n t\u1ea3ng \u0111\u1ebfn n\u00e2ng cao, cho ph\u00e9p ng\u01b0\u1eddi h\u1ecdc ti\u1ebfp c\u1eadn d\u1ea7n d\u1ea7n m\u00e0 kh\u00f4ng b\u1ecb r\u1eddi r\u1ea1c.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.1. N\u1ec1n t\u1ea3ng v\u1ec1 thu\u1eadt to\u00e1n v\u00e0 ph\u00e2n t\u00edch \u0111\u1ed9 ph\u1ee9c t\u1ea1p<\/h3>\n\n\n\n<p>Ngay t\u1eeb nh\u1eefng ch\u01b0\u01a1ng \u0111\u1ea7u, cu\u1ed1n s\u00e1ch gi\u1edbi thi\u1ec7u kh\u00e1i ni\u1ec7m thu\u1eadt to\u00e1n, c\u00e1ch m\u00f4 t\u1ea3 thu\u1eadt to\u00e1n v\u00e0 ph\u01b0\u01a1ng ph\u00e1p \u0111\u00e1nh gi\u00e1 hi\u1ec7u n\u0103ng. Tr\u1ecdng t\u00e2m l\u00e0 <strong>ph\u00e2n t\u00edch \u0111\u1ed9 ph\u1ee9c t\u1ea1p th\u1eddi gian v\u00e0 kh\u00f4ng gian<\/strong>, v\u1edbi k\u00fd hi\u1ec7u Big-O, Big-Theta v\u00e0 Big-Omega. Ph\u1ea7n n\u00e0y gi\u00fap ng\u01b0\u1eddi \u0111\u1ecdc hi\u1ec3u c\u00e1ch so s\u00e1nh c\u00e1c thu\u1eadt to\u00e1n kh\u00f4ng ch\u1ec9 d\u1ef1a tr\u00ean k\u1ebft qu\u1ea3, m\u00e0 d\u1ef1a tr\u00ean hi\u1ec7u qu\u1ea3 khi d\u1eef li\u1ec7u \u0111\u1ea7u v\u00e0o t\u0103ng l\u00ean.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.2. Thu\u1eadt to\u00e1n s\u1eafp x\u1ebfp v\u00e0 t\u00ecm ki\u1ebfm<\/h3>\n\n\n\n<p>\u0110\u00e2y l\u00e0 m\u1ed9t trong nh\u1eefng ph\u1ea7n quan tr\u1ecdng v\u00e0 n\u1ed5i ti\u1ebfng nh\u1ea5t c\u1ee7a s\u00e1ch. C\u00e1c thu\u1eadt to\u00e1n s\u1eafp x\u1ebfp c\u01a1 b\u1ea3n nh\u01b0 Insertion Sort, Merge Sort, Heap Sort, Quick Sort \u0111\u01b0\u1ee3c tr\u00ecnh b\u00e0y chi ti\u1ebft, k\u00e8m theo ph\u00e2n t\u00edch \u01b0u \u2013 nh\u01b0\u1ee3c \u0111i\u1ec3m v\u00e0 tr\u01b0\u1eddng h\u1ee3p s\u1eed d\u1ee5ng ph\u00f9 h\u1ee3p. B\u00ean c\u1ea1nh \u0111\u00f3, c\u00e1c k\u1ef9 thu\u1eadt t\u00ecm ki\u1ebfm v\u00e0 x\u1eed l\u00fd m\u1ea3ng c\u0169ng \u0111\u01b0\u1ee3c gi\u1ea3i th\u00edch r\u00f5 r\u00e0ng, gi\u00fap ng\u01b0\u1eddi h\u1ecdc n\u1eafm v\u1eefng n\u1ec1n t\u1ea3ng c\u1ed1t l\u00f5i.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.3. C\u1ea5u tr\u00fac d\u1eef li\u1ec7u<\/h3>\n\n\n\n<p>Cu\u1ed1n s\u00e1ch d\u00e0nh nhi\u1ec1u ch\u01b0\u01a1ng \u0111\u1ec3 tr\u00ecnh b\u00e0y c\u00e1c c\u1ea5u tr\u00fac d\u1eef li\u1ec7u quan tr\u1ecdng nh\u01b0 stack, queue, linked list, heap, c\u00e2y nh\u1ecb ph\u00e2n, c\u00e2y \u0111\u1ecf-\u0111en v\u00e0 b\u1ea3ng b\u0103m (hash table). M\u1ed7i c\u1ea5u tr\u00fac d\u1eef li\u1ec7u \u0111\u1ec1u \u0111\u01b0\u1ee3c ph\u00e2n t\u00edch v\u1ec1 c\u00e1ch c\u00e0i \u0111\u1eb7t, \u0111\u1ed9 ph\u1ee9c t\u1ea1p v\u00e0 vai tr\u00f2 trong vi\u1ec7c t\u1ed1i \u01b0u thu\u1eadt to\u00e1n. \u0110i\u1ec1u n\u00e0y gi\u00fap ng\u01b0\u1eddi \u0111\u1ecdc hi\u1ec3u m\u1ed1i quan h\u1ec7 m\u1eadt thi\u1ebft gi\u1eefa c\u1ea5u tr\u00fac d\u1eef li\u1ec7u v\u00e0 hi\u1ec7u n\u0103ng ch\u01b0\u01a1ng tr\u00ecnh.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.4. K\u1ef9 thu\u1eadt thi\u1ebft k\u1ebf thu\u1eadt to\u00e1n<\/h3>\n\n\n\n<p>M\u1ed9t \u0111i\u1ec3m m\u1ea1nh l\u1edbn c\u1ee7a <strong>Introduction to Algorithms<\/strong> l\u00e0 ph\u1ea7n tr\u00ecnh b\u00e0y c\u00e1c <strong>chi\u1ebfn l\u01b0\u1ee3c thi\u1ebft k\u1ebf thu\u1eadt to\u00e1n<\/strong>, bao g\u1ed3m:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Chia \u0111\u1ec3 tr\u1ecb (Divide and Conquer)<\/li>\n\n\n\n<li>Quy ho\u1ea1ch \u0111\u1ed9ng (Dynamic Programming)<\/li>\n\n\n\n<li>Tham lam (Greedy Algorithms)<\/li>\n<\/ul>\n\n\n\n<p>Th\u00f4ng qua c\u00e1c v\u00ed d\u1ee5 kinh \u0111i\u1ec3n nh\u01b0 b\u00e0i to\u00e1n ba l\u00f4, d\u00e3y con chung d\u00e0i nh\u1ea5t hay b\u00e0i to\u00e1n l\u1eadp l\u1ecbch, ng\u01b0\u1eddi \u0111\u1ecdc h\u1ecdc \u0111\u01b0\u1ee3c c\u00e1ch ti\u1ebfp c\u1eadn b\u00e0i to\u00e1n m\u1ed9t c\u00e1ch c\u00f3 h\u1ec7 th\u1ed1ng, thay v\u00ec ch\u1ec9 vi\u1ebft code theo c\u1ea3m t\u00ednh.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.5. Thu\u1eadt to\u00e1n \u0111\u1ed3 th\u1ecb v\u00e0 ch\u1ee7 \u0111\u1ec1 n\u00e2ng cao<\/h3>\n\n\n\n<p>\u1ede c\u00e1c ch\u01b0\u01a1ng sau, cu\u1ed1n s\u00e1ch \u0111i s\u00e2u v\u00e0o thu\u1eadt to\u00e1n \u0111\u1ed3 th\u1ecb nh\u01b0 BFS, DFS, thu\u1eadt to\u00e1n \u0111\u01b0\u1eddng \u0111i ng\u1eafn nh\u1ea5t, c\u00e2y khung nh\u1ecf nh\u1ea5t, c\u0169ng nh\u01b0 c\u00e1c ch\u1ee7 \u0111\u1ec1 n\u00e2ng cao nh\u01b0 NP-Completeness v\u00e0 thu\u1eadt to\u00e1n x\u1ea5p x\u1ec9. \u0110\u00e2y l\u00e0 ph\u1ea7n \u0111\u1eb7c bi\u1ec7t quan tr\u1ecdng \u0111\u1ed1i v\u1edbi sinh vi\u00ean v\u00e0 nh\u00e0 nghi\u00ean c\u1ee9u, v\u00ec n\u00f3 \u0111\u1eb7t n\u1ec1n m\u00f3ng cho c\u00e1c l\u0129nh v\u1ef1c nh\u01b0 t\u1ed1i \u01b0u h\u00f3a, tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o v\u00e0 khoa h\u1ecdc d\u1eef li\u1ec7u.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">3. V\u00ec sao b\u1ea1n n\u00ean \u0111\u1ecdc cu\u1ed1n s\u00e1ch n\u00e0y?<\/h2>\n\n\n\n<p>Th\u1ee9 nh\u1ea5t, <strong>Introduction to Algorithms<\/strong> cung c\u1ea5p m\u1ed9t <strong>n\u1ec1n t\u1ea3ng l\u00fd thuy\u1ebft v\u1eefng ch\u1eafc<\/strong>. Thay v\u00ec ch\u1ec9 d\u1ea1y c\u00e1ch vi\u1ebft m\u00e3 cho m\u1ed9t ng\u00f4n ng\u1eef c\u1ee5 th\u1ec3, cu\u1ed1n s\u00e1ch gi\u00fap ng\u01b0\u1eddi \u0111\u1ecdc hi\u1ec3u b\u1ea3n ch\u1ea5t c\u1ee7a thu\u1eadt to\u00e1n, t\u1eeb \u0111\u00f3 c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng linh ho\u1ea1t trong nhi\u1ec1u b\u1ed1i c\u1ea3nh kh\u00e1c nhau.<\/p>\n\n\n\n<p>Th\u1ee9 hai, cu\u1ed1n s\u00e1ch r\u00e8n luy\u1ec7n <strong>t\u01b0 duy ph\u00e2n t\u00edch v\u00e0 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1<\/strong>. Th\u00f4ng qua vi\u1ec7c ch\u1ee9ng minh, ph\u00e2n t\u00edch v\u00e0 so s\u00e1nh, ng\u01b0\u1eddi h\u1ecdc ph\u00e1t tri\u1ec3n kh\u1ea3 n\u0103ng suy lu\u1eadn logic \u2013 k\u1ef9 n\u0103ng c\u1ef1c k\u1ef3 quan tr\u1ecdng \u0111\u1ed1i v\u1edbi l\u1eadp tr\u00ecnh vi\u00ean v\u00e0 k\u1ef9 s\u01b0 ph\u1ea7n m\u1ec1m.<\/p>\n\n\n\n<p>Th\u1ee9 ba, \u0111\u00e2y l\u00e0 <strong>t\u00e0i li\u1ec7u chu\u1ea9n m\u1ef1c v\u00e0 l\u00e2u d\u00e0i<\/strong>. D\u00f9 c\u00f4ng ngh\u1ec7 v\u00e0 ng\u00f4n ng\u1eef l\u1eadp tr\u00ecnh thay \u0111\u1ed5i nhanh ch\u00f3ng, c\u00e1c nguy\u00ean l\u00fd thu\u1eadt to\u00e1n trong s\u00e1ch v\u1eabn gi\u1eef nguy\u00ean gi\u00e1 tr\u1ecb. \u0110i\u1ec1u n\u00e0y khi\u1ebfn cu\u1ed1n s\u00e1ch tr\u1edf th\u00e0nh t\u00e0i li\u1ec7u tham kh\u1ea3o c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng trong nhi\u1ec1u n\u0103m.<\/p>\n\n\n\n<p>Cu\u1ed1i c\u00f9ng, <strong>Introduction to Algorithms<\/strong> l\u00e0 \u201cth\u01b0\u1edbc \u0111o\u201d h\u1ecdc thu\u1eadt. Vi\u1ec7c n\u1eafm v\u1eefng n\u1ed9i dung cu\u1ed1n s\u00e1ch kh\u00f4ng ch\u1ec9 gi\u00fap b\u1ea1n h\u1ecdc t\u1ed1t \u1edf tr\u01b0\u1eddng \u0111\u1ea1i h\u1ecdc, m\u00e0 c\u00f2n l\u00e0 l\u1ee3i th\u1ebf l\u1edbn khi tham gia c\u00e1c k\u1ef3 thi thu\u1eadt to\u00e1n, ph\u1ecfng v\u1ea5n k\u1ef9 thu\u1eadt ho\u1eb7c nghi\u00ean c\u1ee9u chuy\u00ean s\u00e2u.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">4. Cu\u1ed1n s\u00e1ch n\u00e0y d\u00e0nh cho ai?<\/h2>\n\n\n\n<p>Cu\u1ed1n s\u00e1ch \u0111\u1eb7c bi\u1ec7t ph\u00f9 h\u1ee3p v\u1edbi:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Sinh vi\u00ean ng\u00e0nh c\u00f4ng ngh\u1ec7 th\u00f4ng tin, khoa h\u1ecdc m\u00e1y t\u00ednh<\/strong> \u0111ang h\u1ecdc c\u00e1c m\u00f4n c\u1ea5u tr\u00fac d\u1eef li\u1ec7u v\u00e0 thu\u1eadt to\u00e1n.<\/li>\n\n\n\n<li><strong>H\u1ecdc vi\u00ean cao h\u1ecdc v\u00e0 nghi\u00ean c\u1ee9u sinh<\/strong> c\u1ea7n t\u00e0i li\u1ec7u h\u1ecdc thu\u1eadt chu\u1ea9n m\u1ef1c.<\/li>\n\n\n\n<li><strong>L\u1eadp tr\u00ecnh vi\u00ean, k\u1ef9 s\u01b0 ph\u1ea7n m\u1ec1m<\/strong> mu\u1ed1n c\u1ee7ng c\u1ed1 n\u1ec1n t\u1ea3ng v\u00e0 n\u00e2ng cao t\u01b0 duy thu\u1eadt to\u00e1n.<\/li>\n\n\n\n<li><strong>Ng\u01b0\u1eddi chu\u1ea9n b\u1ecb ph\u1ecfng v\u1ea5n k\u1ef9 thu\u1eadt<\/strong> t\u1ea1i c\u00e1c c\u00f4ng ty c\u00f4ng ngh\u1ec7 l\u1edbn, n\u01a1i thu\u1eadt to\u00e1n l\u00e0 ti\u00eau ch\u00ed \u0111\u00e1nh gi\u00e1 quan tr\u1ecdng.<\/li>\n<\/ul>\n\n\n\n<p>Tuy nhi\u00ean, do t\u00ednh h\u1ecdc thu\u1eadt cao, cu\u1ed1n s\u00e1ch c\u00f3 th\u1ec3 kh\u00f4ng ph\u00f9 h\u1ee3p v\u1edbi ng\u01b0\u1eddi m\u1edbi b\u1eaft \u0111\u1ea7u ho\u00e0n to\u00e0n, ch\u01b0a c\u00f3 n\u1ec1n t\u1ea3ng l\u1eadp tr\u00ecnh c\u01a1 b\u1ea3n.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">5. K\u1ebft lu\u1eadn<\/h2>\n\n\n\n<p><strong>Introduction to Algorithms<\/strong> kh\u00f4ng ph\u1ea3i l\u00e0 m\u1ed9t cu\u1ed1n s\u00e1ch \u201cd\u1ec5 \u0111\u1ecdc\u201d, nh\u01b0ng l\u1ea1i l\u00e0 m\u1ed9t trong nh\u1eefng cu\u1ed1n s\u00e1ch <strong>\u0111\u00e1ng \u0111\u1ecdc nh\u1ea5t<\/strong> trong l\u0129nh v\u1ef1c khoa h\u1ecdc m\u00e1y t\u00ednh. V\u1edbi n\u1ed9i dung to\u00e0n di\u1ec7n, c\u00e1ch tr\u00ecnh b\u00e0y ch\u1eb7t ch\u1ebd v\u00e0 gi\u00e1 tr\u1ecb h\u1ecdc thu\u1eadt l\u00e2u d\u00e0i, cu\u1ed1n s\u00e1ch \u0111\u00e3, \u0111ang v\u00e0 s\u1ebd ti\u1ebfp t\u1ee5c l\u00e0 n\u1ec1n t\u1ea3ng cho h\u00e0ng tri\u1ec7u sinh vi\u00ean v\u00e0 k\u1ef9 s\u01b0 tr\u00ean to\u00e0n th\u1ebf gi\u1edbi. N\u1ebfu b\u1ea1n nghi\u00eam t\u00fac theo \u0111u\u1ed5i con \u0111\u01b0\u1eddng c\u00f4ng ngh\u1ec7 th\u00f4ng tin, \u0111\u00e2y l\u00e0 cu\u1ed1n s\u00e1ch m\u00e0 b\u1ea1n n\u00ean c\u00f3 trong t\u1ee7 s\u00e1ch c\u1ee7a m\u00ecnh.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">6. T\u1ea3i xu\u1ed1ng, tr\u1ea3i nghi\u1ec7m<\/h2>\n\n\n\n<p>B\u1ea1n c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng t\u1ea3i xu\u1ed1ng ho\u1eb7c \u0111\u1ecdc tr\u1ef1c tuy\u1ebfn cu\u1ed1n s\u00e1ch n\u00e0y tr\u00ean nhi\u1ec1u n\u1ec1n t\u1ea3ng kh\u00e1c nhau nh\u01b0 SlideShare, Scribd, Issuu hay Studylid. M\u1ed7i n\u1ec1n t\u1ea3ng \u0111\u1ec1u h\u1ed7 tr\u1ee3 \u0111\u1ecdc tr\u1ef1c ti\u1ebfp, l\u01b0u l\u1ea1i \u0111\u1ec3 xem sau v\u00e0 t\u1ea3i v\u1ec1 khi c\u1ea7n, r\u1ea5t ti\u1ec7n cho c\u1ea3&nbsp;<a href=\"https:\/\/kienthucmo.com\/vi\/practical-statistics-for-data-scientists-50-essential-concepts-using-r-and-python\/#\">&nbsp;m\u00e1y t\u00ednh<\/a>&nbsp;l\u1eabn \u0111i\u1ec7n tho\u1ea1i. H\u00e3y ch\u1ecdn n\u01a1i ph\u00f9 h\u1ee3p nh\u1ea5t v\u1edbi th\u00f3i quen s\u1eed d\u1ee5ng c\u1ee7a b\u1ea1n \u0111\u1ec3 tr\u1ea3i nghi\u1ec7m tr\u1ecdn v\u1eb9n n\u1ed9i dung cu\u1ed1n s\u00e1ch.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Studylid:<a href=\"https:\/\/www.scribd.com\/document\/905917839\/Introduction-to-Python-Programming\" target=\"_blank\" rel=\"noreferrer noopener\">\u00a0<\/a><\/strong><a href=\"https:\/\/studylib.net\/doc\/27956323\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/studylib.net\/doc\/27956323<\/a><\/li>\n\n\n\n<li>Slideshare (Part 1):\u00a0<a href=\"https:\/\/www.slideshare.net\/slideshow\/practical-statistics-for-data-scientists-50-essential-concepts-using-r-and-python-part-1\/284083302\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/www.slideshare.net\/slideshow\/practical-statistics-for-data-scientists-50-essential-concepts-using-r-and-python-part-1\/284083302<\/a><\/li>\n\n\n\n<li>Slideshare (Part 2):\u00a0<a href=\"https:\/\/www.slideshare.net\/slideshow\/practical-statistics-for-data-scientists-50-essential-concepts-using-r-and-python-part-2\/284083341\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/www.slideshare.net\/slideshow\/practical-statistics-for-data-scientists-50-essential-concepts-using-r-and-python-part-2\/284083341<\/a><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">7. T\u00e0i li\u1ec7u tham kh\u1ea3o (chu\u1ea9n IEEE)<\/h2>\n\n\n\n<p>[1] T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, <em>Introduction to Algorithms<\/em>, 3rd ed. Cambridge, MA, USA: MIT Press, 2009.<br>[2] D. E. Knuth, <em>The Art of Computer Programming<\/em>, vol. 1\u20133. Boston, MA, USA: Addison-Wesley, 1997.<br>[3] S. S. Skiena, <em>The Algorithm Design Manual<\/em>, 2nd ed. London, UK: Springer, 2008.<br>[4] R. Sedgewick and K. Wayne, <em>Algorithms<\/em>, 4th ed. Boston, MA, USA: Addison-Wesley, 2011.<br>[5] Goodreads, \u201c<em>The Mythical Man-Month: Essays on Software Engineering<\/em>,\u201d [Online]. Available:<br>[6] OpenDev,\u00a0<em>Foundations of Information Systems<\/em>. Available:\u00a0<a href=\"https:\/\/kienthucmo.com\/en\/foundations-of-information-systems\/\">https:\/\/kienthucmo.com\/en\/foundations-of-information-systems\/<\/a><br>[7] OpenDev,\u00a0<em>Introduction to\u00a0<a href=\"https:\/\/kienthucmo.com\/vi\/practical-statistics-for-data-scientists-50-essential-concepts-using-r-and-python\/#\">\u00a0Computer<\/a>\u00a0Science<\/em>. Available:\u00a0<a>https:\/\/kienthucmo.com\/en\/introduction-to-computer-science\/<\/a><br>[8] OpenDev,\u00a0<em>Principles of Data Science<\/em>. Available:\u00a0<a href=\"https:\/\/kienthucmo.com\/en\/principles-of-data-science\/\">https:\/\/kienthucmo.com\/en\/principles-of-data-science\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Trong s\u1ed1 r\u1ea5t nhi\u1ec1u t\u00e0i li\u1ec7u v\u1ec1 thu\u1eadt to\u00e1n, Introduction to Algorithms (th\u01b0\u1eddng \u0111\u01b0\u1ee3c g\u1ecdi t\u1eaft l\u00e0 CLRS, theo ch\u1eef c\u00e1i \u0111\u1ea7u c\u1ee7a b\u1ed1n t\u00e1c gi\u1ea3) \u0111\u01b0\u1ee3c xem l\u00e0 cu\u1ed1n s\u00e1ch kinh \u0111i\u1ec3n v\u00e0 c\u00f3 \u1ea3nh h\u01b0\u1edfng s\u00e2u r\u1ed9ng nh\u1ea5t. <\/p>\n","protected":false},"author":1,"featured_media":2767,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"googlesitekit_rrm_CAowieHDDA:productID":"","footnotes":""},"categories":[5],"tags":[],"class_list":["post-2763","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tai-lieu"],"_links":{"self":[{"href":"https:\/\/kienthucmo.com\/vi\/wp-json\/wp\/v2\/posts\/2763","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kienthucmo.com\/vi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kienthucmo.com\/vi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kienthucmo.com\/vi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kienthucmo.com\/vi\/wp-json\/wp\/v2\/comments?post=2763"}],"version-history":[{"count":1,"href":"https:\/\/kienthucmo.com\/vi\/wp-json\/wp\/v2\/posts\/2763\/revisions"}],"predecessor-version":[{"id":2765,"href":"https:\/\/kienthucmo.com\/vi\/wp-json\/wp\/v2\/posts\/2763\/revisions\/2765"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/kienthucmo.com\/vi\/wp-json\/wp\/v2\/media\/2767"}],"wp:attachment":[{"href":"https:\/\/kienthucmo.com\/vi\/wp-json\/wp\/v2\/media?parent=2763"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kienthucmo.com\/vi\/wp-json\/wp\/v2\/categories?post=2763"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kienthucmo.com\/vi\/wp-json\/wp\/v2\/tags?post=2763"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}