{"id":9224,"date":"2023-12-30T05:06:42","date_gmt":"2023-12-30T05:06:42","guid":{"rendered":"https:\/\/aucometoi.com\/?p=9224"},"modified":"2023-12-30T05:06:42","modified_gmt":"2023-12-30T05:06:42","slug":"toan-hoc-ngon-ngu-cua-vu-tru","status":"publish","type":"post","link":"https:\/\/aucometoi.com\/en\/toan-hoc-ngon-ngu-cua-vu-tru\/","title":{"rendered":"To\u00e1n h\u1ecdc: Ng\u00f4n ng\u1eef c\u1ee7a v\u0169 tr\u1ee5"},"content":{"rendered":"
\n

To\u00e1n h\u1ecdc l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc nghi\u00ean c\u1ee9u v\u1ec1 c\u00e1c s\u1ed1, h\u00ecnh d\u1ea1ng v\u00e0 c\u1ea5u tr\u00fac. N\u00f3 l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc tr\u1eebu t\u01b0\u1ee3ng, nh\u01b0ng l\u1ea1i c\u00f3 \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau, t\u1eeb khoa h\u1ecdc t\u1ef1 nhi\u00ean \u0111\u1ebfn khoa h\u1ecdc x\u00e3 h\u1ed9i, t\u1eeb k\u1ef9 thu\u1eadt \u0111\u1ebfn ngh\u1ec7 thu\u1eadt.<\/p>\n

To\u00e1n h\u1ecdc l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc r\u1ea5t th\u00fa v\u1ecb, n\u00f3 nh\u01b0 m\u1ed9t ng\u01b0\u1eddi b\u1ea1n \u0111\u1ed3ng h\u00e0nh \u0111\u00e1ng tin c\u1eady c\u1ee7a ch\u00fang ta trong cu\u1ed9c s\u1ed1ng. D\u00f9 c\u00f3 v\u1ebb tr\u1eebu t\u01b0\u1ee3ng v\u00e0 kh\u00f3 hi\u1ec3u, nh\u01b0ng to\u00e1n h\u1ecdc l\u1ea1i t\u1ed3n t\u1ea1i kh\u1eafp n\u01a1i xung quanh ch\u00fang ta.<\/p>\n

B\u1ea1n c\u00f3 bi\u1ebft r\u1eb1ng to\u00e1n h\u1ecdc kh\u00f4ng ch\u1ec9 gi\u1edbi h\u1ea1n trong c\u00e1c ph\u00e9p t\u00ednh nh\u00e0m ch\u00e1n? N\u00f3 c\u00f2n \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau. T\u1eeb vi\u1ec7c t\u00ednh to\u00e1n c\u00e1c s\u1ed1 li\u1ec7u trong khoa h\u1ecdc t\u1ef1 nhi\u00ean, cho \u0111\u1ebfn vi\u1ec7c ph\u00e2n t\u00edch d\u1eef li\u1ec7u trong khoa h\u1ecdc x\u00e3 h\u1ed9i, v\u00e0 th\u1eadm ch\u00ed l\u00e0 s\u00e1ng t\u1ea1o trong ngh\u1ec7 thu\u1eadt.<\/p>\n

V\u1edbi to\u00e1n h\u1ecdc, b\u1ea1n c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p v\u00e0 t\u00ecm ra c\u1ea5u tr\u00fac \u1ea9n sau m\u1ecdi s\u1ef1 v\u1eadt. N\u1ebfu b\u1ea1n mu\u1ed1n tr\u1edf th\u00e0nh m\u1ed9t si\u00eau anh h\u00f9ng c\u1ee7a to\u00e1n h\u1ecdc, ch\u1ec9 c\u1ea7n \u00e1p d\u1ee5ng ki\u1ebfn th\u1ee9c n\u00e0y v\u00e0o cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y c\u1ee7a b\u1ea1n – t\u1eeb vi\u1ec7c t\u00ednh ti\u1ec1n khi \u0111i shopping cho \u0111\u1ebfn vi\u1ec7c t\u00ednh chu vi c\u1ee7a chi\u1ebfc b\u00e1nh pizza y\u00eau th\u00edch!<\/p>\n

H\u00e3y \u0111\u1ec3 to\u00e1n h\u1ecdc tr\u1edf th\u00e0nh ng\u01b0\u1eddi b\u1ea1n \u0111\u1ed3ng h\u00e0nh vui nh\u1ed9n c\u1ee7a b\u1ea1n v\u00e0 kh\u00e1m ph\u00e1 nh\u1eefng \u0111i\u1ec1u th\u00fa v\u1ecb m\u00e0 n\u00f3 mang l\u1ea1i!<\/p>\n

\u2014<\/p>\n

To\u00e1n h\u1ecdc – m\u00f4n h\u1ecdc khi\u1ebfn nhi\u1ec1u ng\u01b0\u1eddi \u0111au \u0111\u1ea7u v\u00e0 m\u1ea5t ng\u1ee7 t\u1eeb th\u1eddi c\u1ed5 \u0111\u1ea1i.<\/h5>\n

Nh\u01b0ng xin l\u1ed7i, to\u00e1n h\u1ecdc kh\u00f4ng ph\u1ea3i l\u00e0 m\u1ed9t b\u00e0i t\u1eadp gi\u1ebft th\u1eddi gian c\u1ee7a c\u00e1c nh\u00e0 khoa h\u1ecdc ch\u1ec9 \u0111\u1ec3 tr\u00eau \u0111\u00f9a ch\u00fang ta.<\/p>\n

To\u00e1n h\u1ecdc l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc v\u00f4 c\u00f9ng th\u00fa v\u1ecb v\u00e0 quan tr\u1ecdng. N\u00f3 nghi\u00ean c\u1ee9u v\u1ec1 c\u00e1c con s\u1ed1, c\u00e1c h\u00ecnh d\u1ea1ng v\u00e0 c\u1ea5u tr\u00fac. Nh\u01b0ng kh\u00f4ng ch\u1ec9 d\u1eebng l\u1ea1i \u1edf vi\u1ec7c t\u00ednh to\u00e1n nh\u1eefng ph\u00e9p t\u00ednh kh\u00f3 kh\u0103n, to\u00e1n h\u1ecdc c\u00f3 \u1ea3nh h\u01b0\u1edfng r\u1ea5t l\u1edbn trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y c\u1ee7a ch\u00fang ta.<\/p>\n

V\u1edbi to\u00e1n h\u1ecdc, ch\u00fang ta c\u00f3 th\u1ec3 hi\u1ec3u r\u00f5 \u0111\u01b0\u1ee3c s\u1ef1 t\u01b0\u01a1ng quan gi\u1eefa c\u00e1c y\u1ebfu t\u1ed1 trong t\u1ef1 nhi\u00ean v\u00e0 x\u00e3 h\u1ed9i. N\u00f3 gi\u00fap ch\u00fang ta ph\u00e2n t\u00edch v\u00e0 d\u1ef1 \u0111o\u00e1n hi\u1ec7n t\u01b0\u1ee3ng t\u1eeb vi\u1ec7c di\u1ec5n bi\u1ebfn th\u1eddi ti\u1ebft cho \u0111\u1ebfn xu th\u1ebf kinh t\u1ebf.<\/p>\n

Kh\u00f4ng ch\u1ec9 c\u00f3 v\u1eady, to\u00e1n h\u1ecdc c\u00f2n l\u00e0 c\u00f4ng c\u1ee5 quan tr\u1ecdng trong k\u1ef9 thu\u1eadt v\u00e0 ngh\u1ec7 thu\u1eadt.<\/h5>\n

T\u1eeb vi\u1ec7c thi\u1ebft k\u1ebf ki\u1ebfn tr\u00fac nh\u00e0 cao t\u1ea7ng cho \u0111\u1ebfn vi\u1ec7c s\u00e1ng t\u00e1c \u00e2m nh\u1ea1c, to\u00e1n h\u1ecdc lu\u00f4n c\u00f3 vai tr\u00f2 kh\u00f4ng th\u1ec3 thi\u1ebfu.<\/p>\n

V\u1eady n\u00ean, \u0111\u1eebng coi th\u01b0\u1eddng to\u00e1n h\u1ecdc nh\u00e9! N\u00f3 kh\u00f4ng ch\u1ec9 l\u00e0 m\u1ed9t m\u00f4n h\u1ecdc kh\u00f4 khan v\u00e0 tr\u1eebu t\u01b0\u1ee3ng, m\u00e0 c\u00f2n l\u00e0 ngu\u1ed3n c\u1ea3m h\u1ee9ng v\u00f4 t\u1eadn cho s\u1ef1 s\u00e1ng t\u1ea1o v\u00e0 kh\u00e1m ph\u00e1 c\u1ee7a con ng\u01b0\u1eddi.<\/p>\n

\u2014<\/p>\n

To\u00e1n h\u1ecdc l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc th\u00fa v\u1ecb, nghi\u00ean c\u1ee9u v\u1ec1 c\u00e1c s\u1ed1, h\u00ecnh d\u1ea1ng v\u00e0 c\u1ea5u tr\u00fac.<\/h5>\n

N\u00f3 gi\u1ed1ng nh\u01b0 m\u1ed9t c\u00e1i kh\u00f3a th\u00f4ng minh, m\u1edf ra c\u00e1nh c\u1eeda t\u1edbi nh\u1eefng hi\u1ec3u bi\u1ebft s\u00e2u s\u1eafc v\u1ec1 th\u1ebf gi\u1edbi xung quanh ch\u00fang ta.<\/p>\n

D\u00f9 to\u00e1n h\u1ecdc c\u00f3 v\u1ebb tr\u1eebu t\u01b0\u1ee3ng v\u00e0 kh\u00f3 hi\u1ec3u \u0111\u00f4i ch\u00fat, nh\u01b0ng \u0111\u1eebng lo! N\u00f3 c\u00f3 \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau. T\u1eeb vi\u1ec7c gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p trong khoa h\u1ecdc t\u1ef1 nhi\u00ean cho \u0111\u1ebfn vi\u1ec7c ph\u00e2n t\u00edch d\u1eef li\u1ec7u trong khoa h\u1ecdc x\u00e3 h\u1ed9i, t\u1eeb thi\u1ebft k\u1ebf k\u1ef9 thu\u1eadt cho \u0111\u1ebfn s\u00e1ng t\u1ea1o ngh\u1ec7 thu\u1eadt – to\u00e1n h\u1ecdc c\u00f3 m\u1eb7t \u1edf kh\u1eafp m\u1ecdi n\u01a1i!<\/p>\n

V\u1eady l\u00e0m sao \u0111\u1ec3 y\u00eau th\u00edch to\u00e1n h\u1ecdc? \u0110\u01a1n gi\u1ea3n th\u00f4i! H\u00e3y nh\u00ecn v\u00e0o s\u1ed1 ti\u1ec1n trong v\u00ed c\u1ee7a b\u1ea1n v\u00e0 bi\u1ebft \u0111\u01b0\u1ee3c l\u00e0m sao \u0111\u1ec3 chia \u0111\u1ec1u cho b\u1eefa tr\u01b0a v\u00e0 chi ti\u00eau kh\u00f4ng qu\u00e1 xa hoa. To\u00e1n h\u1ecdc kh\u00f4ng ch\u1ec9 l\u00e0 c\u00f4ng c\u1ee5 \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p, m\u00e0 c\u00f2n l\u00e0 ng\u01b0\u1eddi b\u1ea1n \u0111\u1ed3ng h\u00e0nh th\u00f4ng minh trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y c\u1ee7a ch\u00fang ta.<\/p>\n

T\u1ea1i sao to\u00e1n h\u1ecdc l\u1ea1i \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 “ng\u00f4n ng\u1eef c\u1ee7a v\u0169 tr\u1ee5”?<\/h5>\n

B\u1edfi v\u00ec to\u00e1n h\u1ecdc l\u00e0 m\u1ed9t c\u00f4ng c\u1ee5 h\u1eefu hi\u1ec7u \u0111\u1ec3 m\u00f4 t\u1ea3 v\u00e0 hi\u1ec3u th\u1ebf gi\u1edbi xung quanh ch\u00fang ta. C\u00e1c quy lu\u1eadt chi ph\u1ed1i s\u1ef1 v\u1eadn h\u00e0nh c\u1ee7a v\u0169 tr\u1ee5, t\u1eeb nh\u1eefng v\u1eadt th\u1ec3 nh\u1ecf b\u00e9 nh\u01b0 nguy\u00ean t\u1eed \u0111\u1ebfn nh\u1eefng thi\u00ean h\u00e0 kh\u1ed5ng l\u1ed3.<\/p>\n

\u2014<\/p>\n

V\u00ec to\u00e1n h\u1ecdc ch\u00ednh l\u00e0 “ng\u00f4n ng\u1eef c\u1ee7a v\u0169 tr\u1ee5”, m\u1ed9t ng\u00f4n ng\u1eef kh\u00f4ng bao gi\u1edd sai ch\u00ednh t\u1ea3 v\u00e0 kh\u00f4ng bao gi\u1edd c\u1ea7n d\u00f9ng t\u1eeb \u0111i\u1ec3n. Khoa h\u1ecdc gi\u00fap ch\u00fang ta gi\u1ea3i m\u00e3 nh\u1eefng b\u00ed \u1ea9n c\u1ee7a v\u0169 tr\u1ee5, t\u1eeb vi\u1ec7c t\u00ednh to\u00e1n qu\u1ef9 \u0111\u1ea1o c\u1ee7a c\u00e1c h\u00e0nh tinh \u0111\u1ebfn ph\u00e2n t\u00edch c\u1ea5u tr\u00fac c\u1ee7a c\u00e1c t\u1ebf b\u00e0o trong c\u01a1 th\u1ec3 con ng\u01b0\u1eddi.<\/p>\n

Khi b\u1ea1n nh\u00ecn v\u00e0o m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc, n\u00f3 c\u00f3 th\u1ec3 nh\u01b0 m\u1ed9t c\u00e2u chuy\u1ec7n k\u1ef3 di\u1ec7u \u0111ang \u0111\u01b0\u1ee3c k\u1ec3.<\/h5>\n

N\u00f3 cho b\u1ea1n c\u00e1i nh\u00ecn s\u00e2u s\u1eafc v\u00e0o c\u00e1ch m\u00e0 t\u1ef1 nhi\u00ean ho\u1ea1t \u0111\u1ed9ng v\u00e0 t\u1ea1o ra s\u1ef1 k\u1ebft n\u1ed1i gi\u1eefa c\u00e1c hi\u1ec7n t\u01b0\u1ee3ng kh\u00e1c nhau.<\/p>\n

V\u1eady n\u00ean, h\u00e3y \u0111\u1ec3 n\u00f3 l\u00e0 ng\u01b0\u1eddi d\u1eabn l\u1ed1i trong cu\u1ed9c phi\u00eau l\u01b0u kh\u00e1m ph\u00e1 v\u0169 tr\u1ee5 n\u00e0y. B\u1ea1n c\u00f3 th\u1ec3 kh\u00f4ng bi\u1ebft r\u00f5 t\u1eeb \u0111i\u1ec3n, nh\u01b0ng ch\u1ec9 c\u1ea7n hi\u1ec3u \u0111\u01b0\u1ee3c “ng\u00f4n ng\u1eef” n\u00e0y, b\u1ea1n \u0111\u00e3 c\u00f3 th\u1ec3 ti\u1ebfn xa trong vi\u1ec7c hi\u1ec3u r\u00f5 v\u1ec1 th\u1ebf gi\u1edbi xung quanh ch\u00fang ta.<\/p>\n

\u2014<\/p>\n

\u00d4i, to\u00e1n h\u1ecdc, ng\u00f4n ng\u1eef c\u1ee7a v\u0169 tr\u1ee5!<\/h5>\n

T\u1ea1i sao l\u1ea1i nh\u01b0 v\u1eady? \u0110\u01a1n gi\u1ea3n th\u00f4i, b\u1edfi v\u00ec \u0111\u00e2y l\u00e0 c\u00f4ng c\u1ee5 tuy\u1ec7t v\u1eddi \u0111\u1ec3 m\u00f4 t\u1ea3 v\u00e0 hi\u1ec3u th\u1ebf gi\u1edbi xung quanh ch\u00fang ta. N\u00f3 gi\u1ed1ng nh\u01b0 c\u00e1i k\u00ednh c\u1eadn cho n\u00e3o b\u1ed9, gi\u00fap ch\u00fang ta nh\u00ecn th\u1ea5y c\u00e1c quy lu\u1eadt \u1ea9n trong m\u1ecdi s\u1ef1 v\u1eadt v\u00e0 hi\u1ec7n t\u01b0\u1ee3ng.<\/p>\n

C\u00e1c quy lu\u1eadt to\u00e1n h\u1ecdc kh\u00f4ng ch\u1ec9 t\u1ed3n t\u1ea1i trong s\u00e1ch gi\u00e1o tr\u00ecnh hay b\u00e0i gi\u1ea3ng tr\u00ean l\u1edbp. Ch\u00fang chi ph\u1ed1i s\u1ef1 v\u1eadn h\u00e0nh c\u1ee7a c\u1ea3 v\u0169 tr\u1ee5 n\u00e0y \u0111\u1ea5y! T\u1eeb nh\u1eefng con nguy\u00ean t\u1eed b\u00e9 x\u00edu \u0111\u1ebfn nh\u1eefng thi\u00ean h\u00e0 kh\u1ed5ng l\u1ed3, m\u1ecdi th\u1ee9 \u0111\u1ec1u tu\u00e2n theo c\u00e1c quy t\u1eafc.<\/p>\n

V\u1edbi to\u00e1n h\u1ecdc, ch\u00fang ta c\u00f3 th\u1ec3 t\u00ednh to\u00e1n di\u1ec7n t\u00edch c\u1ee7a m\u1ed9t chi\u1ebfc b\u00e1nh pizza (\u0111\u1ec3 bi\u1ebft c\u00f3 \u0111\u1ee7 \u0111\u1ec3 no b\u1ee5ng hay kh\u00f4ng), d\u1ef1 \u0111o\u00e1n con s\u1ed1 may r\u1ee7i trong x\u1ed5 s\u1ed1 (ch\u1ec9 l\u00e0 hy v\u1ecdng thoai), v\u00e0 th\u1eadm ch\u00ed l\u00e0 d\u1ef1 \u0111o\u00e1n s\u1ef1 t\u1ed3n t\u1ea1i c\u1ee7a c\u00e1c h\u00e0nh tinh xa x\u00f4i (\u0111\u1ec3 bi\u1ebft li\u1ec7u c\u00f3 g\u1eb7p ngo\u00e0i h\u00e0nh tinh n\u00e0o hay kh\u00f4ng).<\/p>\n

V\u1eady n\u00ean, b\u1ea1n \u01a1i, kh\u00f4ng c\u00f3 g\u00ec ng\u1ea1c nhi\u00ean khi n\u00f3 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 “ng\u00f4n ng\u1eef c\u1ee7a v\u0169 tr\u1ee5”.<\/h5>\n

N\u00f3 l\u00e0 c\u00f4ng c\u1ee5 gi\u00fap ch\u00fang ta kh\u00e1m ph\u00e1 v\u00e0 hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 th\u1ebf gi\u1edbi xung quanh, d\u00f9 cho c\u00f3 th\u1ec3 g\u00e2y cho\u00e1ng v\u00e1ng v\u00e0 \u0111au \u0111\u1ea7u \u0111\u00f4i ch\u00fat.<\/p>\n

\u2014<\/p>\n

To\u00e1n h\u1ecdc \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 “ng\u00f4n ng\u1eef c\u1ee7a v\u0169 tr\u1ee5” kh\u00f4ng ph\u1ea3i v\u00ec n\u00f3 c\u00f3 nh\u1eefng t\u1eeb ng\u1eef kh\u00f3 hi\u1ec3u nh\u01b0 “sin”, “cos”, hay “\u0111\u1ea1o h\u00e0m”. M\u00e0 \u0111\u01a1n gi\u1ea3n l\u00e0 b\u1edfi n\u00f3 gi\u00fap ch\u00fang ta hi\u1ec3u v\u00e0 m\u00f4 t\u1ea3 th\u1ebf gi\u1edbi xung quanh m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c v\u00e0 logic.<\/p>\n

C\u00e1c quy lu\u1eadt to\u00e1n h\u1ecdc kh\u00f4ng ch\u1ec9 \u00e1p d\u1ee5ng trong s\u00e1ch gi\u00e1o tr\u00ecnh m\u00e0 c\u00f2n t\u1ed3n t\u1ea1i kh\u1eafp m\u1ecdi n\u01a1i trong v\u0169 tr\u1ee5.<\/h5>\n

T\u1eeb nh\u1eefng quy t\u1eafc \u0111\u01a1n gi\u1ea3n nh\u01b0 ph\u00e9p c\u1ed9ng, tr\u1eeb, nh\u00e2n, chia cho \u0111\u1ebfn c\u00e1c l\u00fd thuy\u1ebft ph\u1ee9c t\u1ea1p nh\u01b0 l\u00fd thuy\u1ebft s\u1ed1 ho\u1eb7c l\u00fd thuy\u1ebft \u0111\u1ed3 th\u1ecb – n\u00f3 chi ph\u1ed1i s\u1ef1 v\u1eadn h\u00e0nh c\u1ee7a t\u1ea5t c\u1ea3 m\u1ecdi th\u1ee9.<\/p>\n

V\u1edbi to\u00e1n h\u1ecdc, ch\u00fang ta c\u00f3 th\u1ec3 t\u00ednh to\u00e1n qu\u1ef9 \u0111\u1ea1o c\u1ee7a c\u00e1c h\u00e0nh tinh, d\u1ef1 \u0111o\u00e1n s\u1ef1 bi\u1ebfn thi\u00ean c\u1ee7a s\u00f3ng bi\u1ec3n hay t\u00ednh to\u00e1n di\u1ec7n t\u00edch c\u1ee7a khu r\u1eebng Amazon. N\u00f3 l\u00e0 c\u00f4ng c\u1ee5 kh\u00f4ng th\u1ec3 thi\u1ebfu \u0111\u1ec3 kh\u00e1m ph\u00e1 v\u00e0 hi\u1ec3u r\u00f5 v\u1ec1 v\u0169 tr\u1ee5 n\u00e0y. V\u1eady n\u00ean, b\u1ea1n \u0111\u00e3 s\u1eb5n s\u00e0ng \u0111\u1ec3 b\u01b0\u1edbc v\u00e0o cu\u1ed9c phi\u00eau l\u01b0u trong “v\u0169 tr\u1ee5” c\u1ee7a ri\u00eang m\u00ecnh ch\u01b0a?<\/p>\n

To\u00e1n h\u1ecdc c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c chia th\u00e0nh hai nh\u00e1nh ch\u00ednh: thu\u1ea7n t\u00fay v\u00e0 to\u00e1n h\u1ecdc \u1ee9ng d\u1ee5ng.<\/p>\n

\u2014<\/h5>\n

H\u00e3y c\u00f9ng t\u00ecm hi\u1ec3u v\u1ec1 hai nh\u00e1nh ch\u00ednh: to\u00e1n h\u1ecdc thu\u1ea7n t\u00fay v\u00e0 \u1ee9ng d\u1ee5ng.<\/p>\n

To\u00e1n h\u1ecdc thu\u1ea7n t\u00fay, c\u0169ng g\u1ecdi l\u00e0 “to\u00e1n \u0111\u1eb9p”, l\u00e0 n\u01a1i c\u00e1c chuy\u00ean gia th\u1ecfa m\u00e3n ni\u1ec1m \u0111am m\u00ea trong vi\u1ec7c kh\u00e1m ph\u00e1 c\u00e1c nguy\u00ean l\u00fd v\u00e0 quy t\u1eafc c\u0103n b\u1ea3n c\u1ee7a s\u1ed1 h\u1ecdc, \u0111\u1ea1i s\u1ed1, h\u00ecnh h\u1ecdc v\u00e0 l\u00fd thuy\u1ebft. \u0110\u00e2y l\u00e0 n\u01a1i m\u00e0 c\u00e1c con s\u1ed1 v\u00e0 bi\u1ec3u \u0111\u1ed3 tr\u1edf th\u00e0nh ng\u00f4n ng\u1eef th\u1ea7n k\u1ef3 \u0111\u1ec3 di\u1ec5n t\u1ea3 s\u1ef1 ho\u00e0n thi\u1ec7n v\u00e0 s\u1eafc \u0111\u1eb9p c\u1ee7a to\u00e1n h\u1ecdc.<\/p>\n

C\u00f2n khoa h\u1ecdc \u1ee9ng d\u1ee5ng, nh\u01b0 c\u00e1i t\u00ean \u0111\u00e3 g\u1ee3i \u00fd, l\u00e0 n\u01a1i m\u00e0 ch\u00fang ta \u00e1p d\u1ee5ng nh\u1eefng ki\u1ebfn th\u1ee9c to\u00e1n h\u1ecdc v\u00e0o cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y.<\/h5>\n

T\u1eeb vi\u1ec7c t\u00ednh ti\u1ec1n trong si\u00eau th\u1ecb cho \u0111\u1ebfn thi\u1ebft k\u1ebf c\u00f4ng tr\u00ecnh x\u00e2y d\u1ef1ng, kh\u00f4ng c\u00f3 g\u00ec tho\u00e1t kh\u1ecfi \u00e1nh s\u00e1ng ph\u00e9p thu\u1eadt c\u1ee7a khoa h\u1ecdc \u1ee9ng d\u1ee5ng.<\/p>\n

V\u1eady b\u1ea1n c\u00f3 mu\u1ed1n kh\u00e1m ph\u00e1 c\u1ea3 hai th\u1ebf gi\u1edbi n\u00e0y kh\u00f4ng? H\u00e3y chu\u1ea9n b\u1ecb cho m\u1ed9t cu\u1ed9c phi\u00eau l\u01b0u vui v\u1ebb trong l\u0129nh v\u1ef1c “to\u00e1t” ra s\u1ef1 th\u00fa v\u1ecb v\u00e0 “h\u1ecdc” ra s\u1ef1 ph\u1ea5n kh\u1edfi!<\/p>\n

\"T\u1eeb
T\u1eeb vi\u1ec7c t\u00ednh ti\u1ec1n trong si\u00eau th\u1ecb cho \u0111\u1ebfn thi\u1ebft k\u1ebf c\u00f4ng tr\u00ecnh x\u00e2y d\u1ef1ng, kh\u00f4ng c\u00f3 g\u00ec tho\u00e1t kh\u1ecfi \u00e1nh s\u00e1ng ph\u00e9p thu\u1eadt c\u1ee7a to\u00e1n h\u1ecdc \u1ee9ng d\u1ee5ng.<\/figcaption><\/figure>\n
\u2014<\/h5>\n

Khoa h\u1ecdc, m\u1ed9t m\u00f4n h\u1ecdc b\u00ed \u1ea9n v\u00e0 \u0111\u1ea7y th\u00e1ch th\u1ee9c, c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c chia th\u00e0nh hai nh\u00e1nh ch\u00ednh: thu\u1ea7n t\u00fay v\u00e0 to\u00e1n h\u1ecdc \u1ee9ng d\u1ee5ng.<\/p>\n

Khoa h\u1ecdc thu\u1ea7n t\u00fay l\u00e0 nh\u01b0 m\u1ed9t tr\u00f2 ch\u01a1i tr\u00ed tu\u1ec7, nghi\u00ean c\u1ee9u v\u1ec1 c\u00e1c kh\u00e1i ni\u1ec7m v\u00e0 l\u00fd thuy\u1ebft. N\u00f3 l\u00e0 n\u01a1i c\u00e1c chuy\u00ean gia tinh th\u00f4ng trong vi\u1ec7c gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 ph\u1ee9c t\u1ea1p v\u00e0 \u0111\u01b0a ra nh\u1eefng b\u1eb1ng ch\u1ee9ng logic.<\/p>\n

C\u00f2n to\u00e1n h\u1ecdc \u1ee9ng d\u1ee5ng, nh\u01b0 c\u00e1i t\u00ean \u0111\u00e3 g\u1ee3i \u00fd, l\u00e0 \u00e1p d\u1ee5ng v\u00e0o c\u00e1c l\u0129nh v\u1ef1c kh\u00e1c trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y.<\/h5>\n

N\u00f3 gi\u00fap ta gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 th\u1ef1c ti\u1ec5n t\u1eeb kinh t\u1ebf, khoa h\u1ecdc t\u1ef1 nhi\u00ean cho \u0111\u1ebfn c\u00f4ng ngh\u1ec7 th\u00f4ng tin.<\/p>\n

Tuy c\u00f3 s\u1ef1 ph\u00e2n bi\u1ec7t r\u00f5 r\u00e0ng gi\u1eefa hai nh\u00e1nh n\u00e0y, nh\u01b0ng kh\u00f4ng ai n\u00f3i r\u1eb1ng b\u1ea1n kh\u00f4ng th\u1ec3 c\u00f3 c\u1ea3 hai. B\u1ea1n c\u00f3 th\u1ec3 l\u00e0 m\u1ed9t thi\u00ean t\u00e0i c\u1ee7a to\u00e1n thu\u1ea7n t\u00fay v\u00e0 c\u0169ng l\u00e0 ng\u01b0\u1eddi s\u00e1ng t\u1ea1o trong vi\u1ec7c \u00e1p d\u1ee5ng n\u00f3 v\u00e0o cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y.<\/p>\n

V\u00ec v\u1eady, c\u00f9ng kh\u00e1m ph\u00e1 s\u1ef1 k\u1ef3 di\u1ec7u v\u00e0 nh\u00ecn v\u00e0o c\u1ea3 hai m\u1eb7t c\u1ee7a \u0111\u1ed3ng xu n\u00e0y. H\u00e3y \u0111\u1ec3 n\u00f3 gi\u00fap b\u1ea1n t\u00ecm ra c\u00e2u tr\u1ea3 l\u1eddi cho nh\u1eefng c\u00e2u h\u1ecfi v\u0129 \u0111\u1ea1i trong cu\u1ed9c s\u1ed1ng, ho\u1eb7c \u00edt nh\u1ea5t l\u00e0 gi\u00fap b\u1ea1n t\u00ednh ti\u1ec1n khi \u0111i mua s\u1eafm!<\/p>\n

\u2014<\/h5>\n

H\u00e3y c\u00f9ng nhau kh\u00e1m ph\u00e1 th\u1ebf gi\u1edbi c\u1ee7a to\u00e1n h\u1ecdc, m\u1ed9t ng\u00e0nh h\u1ecdc c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c chia th\u00e0nh hai nh\u00e1nh ch\u00ednh: thu\u1ea7n t\u00fay v\u00e0 \u1ee9ng d\u1ee5ng.<\/p>\n

Khoa h\u1ecdc thu\u1ea7n t\u00fay, c\u0169ng g\u1ecdi l\u00e0 “to\u00e1n h\u1ecdc trong s\u00e1ch gi\u00e1o tr\u00ecnh”, l\u00e0 n\u01a1i ch\u00fang ta kh\u00e1m ph\u00e1 c\u00e1c l\u00fd thuy\u1ebft, nguy\u00ean l\u00fd v\u00e0 c\u00f4ng th\u1ee9c \u0111\u1eb1ng sau s\u1ef1 t\u1ed3n t\u1ea1i c\u1ee7a v\u0169 tr\u1ee5. \u0110\u00e2y l\u00e0 n\u01a1i m\u00e0 c\u00e1c nh\u00e0 khoa h\u1ecdc v\u1eabn ng\u1ed3i su\u1ed1t ng\u00e0y \u0111\u1ec3 t\u00ecm hi\u1ec3u v\u1ec1 c\u00e1c kh\u00e1i ni\u1ec7m nh\u01b0 s\u1ed1 h\u1ecdc, \u0111\u1ea1i s\u1ed1, quy lu\u1eadt v\u00e0 bi\u1ebfn \u0111\u1ed5i.<\/p>\n

Trong khi \u0111\u00f3, khoa h\u1ecdc \u1ee9ng d\u1ee5ng l\u00e0 n\u01a1i ch\u00fang ta mang nh\u1eefng ki\u1ebfn th\u1ee9c v\u00e0o cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y.<\/h5>\n

T\u1eeb vi\u1ec7c t\u00ednh ti\u1ec1n trong si\u00eau th\u1ecb cho \u0111\u1ebfn x\u00e1c su\u1ea5t trong l\u0129nh v\u1ef1c t\u00e0i ch\u00ednh – kh\u00f4ng c\u00f3 g\u00ec tho\u00e1t kh\u1ecfi \u00e1nh m\u1eaft s\u1eafc b\u00e9n c\u1ee7a to\u00e1n h\u1ecdc \u1ee9ng d\u1ee5ng.<\/p>\n

V\u1eady b\u1ea1n mu\u1ed1n theo \u0111u\u1ed5i con \u0111\u01b0\u1eddng c\u1ee7a m\u1ed9t nh\u00e0 to\u00e1n hay ch\u1ec9 mu\u1ed1n \u00e1p d\u1ee5ng ki\u1ebfn th\u1ee9c n\u00e0y v\u00e0o cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y? D\u00f9 b\u1ea1n ch\u1ecdn con \u0111\u01b0\u1eddng n\u00e0o \u0111i ch\u0103ng n\u1eefa, kh\u00f4ng ai c\u00f3 th\u1ec3 ph\u1ee7 nh\u1eadn r\u1eb1ng \u0111\u00e2y l\u00e0 m\u1ed9t ngu\u1ed3n c\u1ea3m h\u1ee9ng v\u00f4 t\u1eadn v\u00e0 \u0111\u00f4i khi c\u0169ng c\u00f3 th\u1ec3 g\u00e2y ra m\u1ed9t ch\u00fat \u0111au \u0111\u1ea7u. Nh\u01b0ng \u0111\u1eebng lo, v\u00ec t\u00f4i s\u1ebd lu\u00f4n \u1edf \u0111\u00e2y \u0111\u1ec3 gi\u00fap b\u1ea1n “gi\u1ea3i to\u00e1n” trong cu\u1ed9c s\u1ed1ng!<\/p>\n

Khoa h\u1ecdc thu\u1ea7n t\u00fay<\/strong> l\u00e0 nghi\u00ean c\u1ee9u c\u00e1c kh\u00e1i ni\u1ec7m c\u01a1 b\u1ea3n, ch\u1eb3ng h\u1ea1n nh\u01b0 s\u1ed1 h\u1ecdc, \u0111\u1ea1i s\u1ed1, h\u00ecnh h\u1ecdc,… To\u00e1n h\u1ecdc thu\u1ea7n t\u00fay kh\u00f4ng c\u00f3 \u1ee9ng d\u1ee5ng tr\u1ef1c ti\u1ebfp trong th\u1ef1c t\u1ebf, nh\u01b0ng n\u00f3 l\u00e0 n\u1ec1n t\u1ea3ng cho s\u1ef1 ph\u00e1t tri\u1ec3n c\u1ee7a khoa h\u1ecdc \u1ee9ng d\u1ee5ng.<\/p>\n

Khoa h\u1ecdc \u1ee9ng d\u1ee5ng<\/strong> l\u00e0 s\u1eed d\u1ee5ng c\u00e1c kh\u00e1i ni\u1ec7m \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 th\u1ef1c t\u1ebf trong c\u00e1c l\u0129nh v\u1ef1c kh\u00e1c nhau, ch\u1eb3ng h\u1ea1n nh\u01b0 khoa h\u1ecdc t\u1ef1 nhi\u00ean, khoa h\u1ecdc x\u00e3 h\u1ed9i, k\u1ef9 thu\u1eadt,…<\/h5>\n

D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 v\u00ed d\u1ee5 v\u1ec1 \u1ee9ng d\u1ee5ng c\u1ee7a to\u00e1n h\u1ecdc trong c\u00e1c l\u0129nh v\u1ef1c kh\u00e1c nhau:<\/p>\n

    \n
  • Trong khoa h\u1ecdc t\u1ef1 nhi\u00ean, n\u00f3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 m\u00f4 t\u1ea3 c\u00e1c hi\u1ec7n t\u01b0\u1ee3ng t\u1ef1 nhi\u00ean, ch\u1eb3ng h\u1ea1n nh\u01b0 chuy\u1ec3n \u0111\u1ed9ng c\u1ee7a c\u00e1c h\u00e0nh tinh, s\u1ef1 h\u00ecnh th\u00e0nh c\u1ee7a c\u00e1c ng\u00f4i sao,…<\/strong><\/li>\n<\/ul>\n

    Trong khoa h\u1ecdc x\u00e3 h\u1ed9i, n\u00f3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 ph\u00e2n t\u00edch d\u1eef li\u1ec7u, d\u1ef1 b\u00e1o xu h\u01b0\u1edbng,…<\/strong><\/h3>\n
      \n
    • Trong k\u1ef9 thu\u1eadt, n\u00f3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 thi\u1ebft k\u1ebf c\u00e1c c\u00f4ng tr\u00ecnh, m\u00e1y m\u00f3c,…<\/strong><\/li>\n
    • Trong ngh\u1ec7 thu\u1eadt, to\u00e1n h\u1ecdc \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u1ea1o ra c\u00e1c t\u00e1c ph\u1ea9m ngh\u1ec7 thu\u1eadt c\u00f3 t\u00ednh th\u1ea9m m\u1ef9 v\u00e0 t\u00ednh to\u00e1n cao.<\/strong><\/li>\n<\/ul>\n

      \u0110\u00e2y l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc logic v\u00e0 ch\u1eb7t ch\u1ebd. <\/strong><\/h3>\n

      N\u00f3 s\u1eed d\u1ee5ng c\u00e1c quy lu\u1eadt v\u00e0 \u0111\u1ecbnh l\u00fd \u0111\u1ec3 suy lu\u1eadn v\u00e0 ch\u1ee9ng minh c\u00e1c k\u1ebft qu\u1ea3.<\/strong><\/p>\n

      M\u1ed9t trong nh\u1eefng \u0111\u1eb7c \u0111i\u1ec3m n\u1ed5i b\u1eadt l\u00e0 t\u00ednh t\u1ed5ng qu\u00e1t. C\u00e1c quy lu\u1eadt c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng cho nhi\u1ec1u t\u00ecnh hu\u1ed1ng kh\u00e1c nhau. \u0110i\u1ec1u n\u00e0y l\u00e0m cho to\u00e1n h\u1ecdc tr\u1edf th\u00e0nh m\u1ed9t c\u00f4ng c\u1ee5 h\u1eefu hi\u1ec7u \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 th\u1ef1c t\u1ebf.<\/p>\n

      \u0110\u00e2y c\u0169ng l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc s\u00e1ng t\u1ea1o. C\u00e1c nh\u00e0 nghi\u00ean c\u1ee9u lu\u00f4n t\u00ecm ki\u1ebfm nh\u1eefng c\u00e1ch th\u1ee9c m\u1edbi \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1. \u0110i\u1ec1u n\u00e0y \u0111\u00e3 d\u1eabn \u0111\u1ebfn s\u1ef1 ph\u00e1t tri\u1ec3n c\u1ee7a nhi\u1ec1u l\u00fd thuy\u1ebft to\u00e1n h\u1ecdc m\u1edbi.<\/p>\n

      \u0110\u00e2y l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc quan tr\u1ecdng v\u00e0 c\u00f3 \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau.<\/h5>\n

      N\u00f3 l\u00e0 m\u1ed9t c\u00f4ng c\u1ee5 h\u1eefu hi\u1ec7u \u0111\u1ec3 m\u00f4 t\u1ea3 v\u00e0 hi\u1ec3u th\u1ebf gi\u1edbi xung quanh ch\u00fang ta.<\/p>\n

      N\u00f3 c\u0169ng l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc mang t\u00ednh th\u1ea9m m\u1ef9 cao. C\u00e1c c\u00f4ng th\u1ee9c th\u01b0\u1eddng c\u00f3 v\u1ebb \u0111\u1eb9p v\u00e0 s\u1ef1 c\u00e2n \u0111\u1ed1i h\u00e0i h\u00f2a. \u0110i\u1ec1u n\u00e0y \u0111\u00e3 khi\u1ebfn to\u00e1n h\u1ecdc tr\u1edf th\u00e0nh m\u1ed9t m\u00f4n h\u1ecdc thu h\u00fat nhi\u1ec1u ng\u01b0\u1eddi, t\u1eeb tr\u1ebb em \u0111\u1ebfn ng\u01b0\u1eddi l\u1edbn.<\/p>\n

      C\u00f3 th\u1ec3 n\u00f3i, \u0111\u00e2y l\u00e0 m\u1ed9t ng\u00f4n ng\u1eef c\u1ee7a v\u0169 tr\u1ee5. N\u00f3 l\u00e0 m\u1ed9t c\u00f4ng c\u1ee5 h\u1eefu hi\u1ec7u \u0111\u1ec3 kh\u00e1m ph\u00e1 v\u00e0 hi\u1ec3u bi\u1ebft v\u1ec1 th\u1ebf gi\u1edbi xung quanh ch\u00fang ta.<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

      To\u00e1n h\u1ecdc l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc nghi\u00ean c\u1ee9u v\u1ec1 c\u00e1c s\u1ed1, h\u00ecnh d\u1ea1ng v\u00e0 c\u1ea5u tr\u00fac. N\u00f3 l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc tr\u1eebu t\u01b0\u1ee3ng, nh\u01b0ng l\u1ea1i c\u00f3 \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau, t\u1eeb khoa h\u1ecdc t\u1ef1 nhi\u00ean \u0111\u1ebfn khoa h\u1ecdc x\u00e3 h\u1ed9i, t\u1eeb k\u1ef9 thu\u1eadt \u0111\u1ebfn ngh\u1ec7 thu\u1eadt. To\u00e1n h\u1ecdc l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc r\u1ea5t th\u00fa v\u1ecb, n\u00f3 nh\u01b0 m\u1ed9t ng\u01b0\u1eddi b\u1ea1n \u0111\u1ed3ng h\u00e0nh \u0111\u00e1ng tin c\u1eady c\u1ee7a ch\u00fang ta trong cu\u1ed9c s\u1ed1ng. D\u00f9 c\u00f3 v\u1ebb tr\u1eebu t\u01b0\u1ee3ng v\u00e0 kh\u00f3 hi\u1ec3u, nh\u01b0ng to\u00e1n h\u1ecdc l\u1ea1i t\u1ed3n t\u1ea1i kh\u1eafp n\u01a1i xung quanh ch\u00fang ta. B\u1ea1n c\u00f3 bi\u1ebft r\u1eb1ng to\u00e1n h\u1ecdc kh\u00f4ng ch\u1ec9 gi\u1edbi h\u1ea1n trong c\u00e1c ph\u00e9p t\u00ednh nh\u00e0m ch\u00e1n? N\u00f3 c\u00f2n \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau. T\u1eeb vi\u1ec7c t\u00ednh to\u00e1n c\u00e1c s\u1ed1 li\u1ec7u trong khoa h\u1ecdc t\u1ef1 nhi\u00ean, cho \u0111\u1ebfn vi\u1ec7c ph\u00e2n t\u00edch d\u1eef li\u1ec7u trong khoa h\u1ecdc x\u00e3 h\u1ed9i, v\u00e0 th\u1eadm ch\u00ed l\u00e0 s\u00e1ng t\u1ea1o trong ngh\u1ec7 thu\u1eadt. V\u1edbi to\u00e1n h\u1ecdc, b\u1ea1n c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p v\u00e0 t\u00ecm ra c\u1ea5u tr\u00fac \u1ea9n sau m\u1ecdi s\u1ef1 v\u1eadt. N\u1ebfu b\u1ea1n mu\u1ed1n tr\u1edf th\u00e0nh m\u1ed9t si\u00eau anh h\u00f9ng c\u1ee7a to\u00e1n h\u1ecdc, ch\u1ec9 c\u1ea7n \u00e1p d\u1ee5ng ki\u1ebfn th\u1ee9c n\u00e0y v\u00e0o cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y c\u1ee7a b\u1ea1n – t\u1eeb vi\u1ec7c t\u00ednh ti\u1ec1n khi \u0111i shopping cho \u0111\u1ebfn vi\u1ec7c t\u00ednh chu vi c\u1ee7a chi\u1ebfc b\u00e1nh pizza y\u00eau th\u00edch! H\u00e3y \u0111\u1ec3 to\u00e1n h\u1ecdc tr\u1edf th\u00e0nh ng\u01b0\u1eddi b\u1ea1n \u0111\u1ed3ng h\u00e0nh vui nh\u1ed9n c\u1ee7a b\u1ea1n v\u00e0 kh\u00e1m ph\u00e1 nh\u1eefng \u0111i\u1ec1u th\u00fa v\u1ecb m\u00e0 n\u00f3 mang l\u1ea1i! \u2014 To\u00e1n h\u1ecdc – m\u00f4n h\u1ecdc khi\u1ebfn nhi\u1ec1u ng\u01b0\u1eddi \u0111au \u0111\u1ea7u v\u00e0 m\u1ea5t ng\u1ee7 t\u1eeb th\u1eddi c\u1ed5 \u0111\u1ea1i. Nh\u01b0ng xin l\u1ed7i, to\u00e1n h\u1ecdc kh\u00f4ng ph\u1ea3i l\u00e0 m\u1ed9t b\u00e0i t\u1eadp gi\u1ebft th\u1eddi gian c\u1ee7a c\u00e1c nh\u00e0 khoa h\u1ecdc ch\u1ec9 \u0111\u1ec3 tr\u00eau \u0111\u00f9a ch\u00fang ta. To\u00e1n h\u1ecdc l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc v\u00f4 c\u00f9ng th\u00fa v\u1ecb v\u00e0 quan tr\u1ecdng. N\u00f3 nghi\u00ean c\u1ee9u v\u1ec1 c\u00e1c con s\u1ed1, c\u00e1c h\u00ecnh d\u1ea1ng v\u00e0 c\u1ea5u tr\u00fac. Nh\u01b0ng kh\u00f4ng ch\u1ec9 d\u1eebng l\u1ea1i \u1edf vi\u1ec7c t\u00ednh to\u00e1n nh\u1eefng ph\u00e9p t\u00ednh kh\u00f3 kh\u0103n, to\u00e1n h\u1ecdc c\u00f3 \u1ea3nh h\u01b0\u1edfng r\u1ea5t l\u1edbn trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y c\u1ee7a ch\u00fang ta. V\u1edbi to\u00e1n h\u1ecdc, ch\u00fang ta c\u00f3 th\u1ec3 hi\u1ec3u r\u00f5 \u0111\u01b0\u1ee3c s\u1ef1 t\u01b0\u01a1ng quan gi\u1eefa c\u00e1c y\u1ebfu t\u1ed1 trong t\u1ef1 nhi\u00ean v\u00e0 x\u00e3 h\u1ed9i. N\u00f3 gi\u00fap ch\u00fang ta ph\u00e2n t\u00edch v\u00e0 d\u1ef1 \u0111o\u00e1n hi\u1ec7n t\u01b0\u1ee3ng t\u1eeb vi\u1ec7c di\u1ec5n bi\u1ebfn th\u1eddi ti\u1ebft cho \u0111\u1ebfn xu th\u1ebf kinh t\u1ebf. Kh\u00f4ng ch\u1ec9 c\u00f3 v\u1eady, to\u00e1n h\u1ecdc c\u00f2n l\u00e0 c\u00f4ng c\u1ee5 quan tr\u1ecdng trong k\u1ef9 thu\u1eadt v\u00e0 ngh\u1ec7 thu\u1eadt. T\u1eeb vi\u1ec7c thi\u1ebft k\u1ebf ki\u1ebfn tr\u00fac nh\u00e0 cao t\u1ea7ng cho \u0111\u1ebfn vi\u1ec7c s\u00e1ng t\u00e1c \u00e2m nh\u1ea1c, to\u00e1n h\u1ecdc lu\u00f4n c\u00f3 vai tr\u00f2 kh\u00f4ng th\u1ec3 thi\u1ebfu. V\u1eady n\u00ean, \u0111\u1eebng coi th\u01b0\u1eddng to\u00e1n h\u1ecdc nh\u00e9! N\u00f3 kh\u00f4ng ch\u1ec9 l\u00e0 m\u1ed9t m\u00f4n h\u1ecdc kh\u00f4 khan v\u00e0 tr\u1eebu t\u01b0\u1ee3ng, m\u00e0 c\u00f2n l\u00e0 ngu\u1ed3n c\u1ea3m h\u1ee9ng v\u00f4 t\u1eadn cho s\u1ef1 s\u00e1ng t\u1ea1o v\u00e0 kh\u00e1m ph\u00e1 c\u1ee7a con ng\u01b0\u1eddi. \u2014 To\u00e1n h\u1ecdc l\u00e0 m\u1ed9t m\u00f4n khoa h\u1ecdc th\u00fa v\u1ecb, nghi\u00ean c\u1ee9u v\u1ec1 c\u00e1c s\u1ed1, h\u00ecnh d\u1ea1ng v\u00e0 c\u1ea5u tr\u00fac. N\u00f3 gi\u1ed1ng nh\u01b0 m\u1ed9t c\u00e1i kh\u00f3a th\u00f4ng minh, m\u1edf ra c\u00e1nh c\u1eeda t\u1edbi nh\u1eefng hi\u1ec3u bi\u1ebft s\u00e2u s\u1eafc v\u1ec1 th\u1ebf gi\u1edbi xung quanh ch\u00fang ta. D\u00f9 to\u00e1n h\u1ecdc c\u00f3 v\u1ebb tr\u1eebu t\u01b0\u1ee3ng v\u00e0 kh\u00f3 hi\u1ec3u \u0111\u00f4i ch\u00fat, nh\u01b0ng \u0111\u1eebng lo! N\u00f3 c\u00f3 \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau. T\u1eeb vi\u1ec7c gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p trong khoa h\u1ecdc t\u1ef1 nhi\u00ean cho \u0111\u1ebfn vi\u1ec7c ph\u00e2n t\u00edch d\u1eef li\u1ec7u trong khoa h\u1ecdc x\u00e3 h\u1ed9i, t\u1eeb thi\u1ebft k\u1ebf k\u1ef9 thu\u1eadt cho \u0111\u1ebfn s\u00e1ng t\u1ea1o ngh\u1ec7 thu\u1eadt – to\u00e1n h\u1ecdc c\u00f3 m\u1eb7t \u1edf kh\u1eafp m\u1ecdi n\u01a1i! V\u1eady l\u00e0m sao \u0111\u1ec3 y\u00eau th\u00edch to\u00e1n h\u1ecdc? \u0110\u01a1n gi\u1ea3n th\u00f4i! H\u00e3y nh\u00ecn v\u00e0o s\u1ed1 ti\u1ec1n trong v\u00ed c\u1ee7a b\u1ea1n v\u00e0 bi\u1ebft \u0111\u01b0\u1ee3c l\u00e0m sao \u0111\u1ec3 chia \u0111\u1ec1u cho b\u1eefa tr\u01b0a v\u00e0 chi ti\u00eau kh\u00f4ng qu\u00e1 xa hoa. To\u00e1n h\u1ecdc kh\u00f4ng ch\u1ec9 l\u00e0 c\u00f4ng c\u1ee5 \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p, m\u00e0 c\u00f2n l\u00e0 ng\u01b0\u1eddi b\u1ea1n \u0111\u1ed3ng h\u00e0nh th\u00f4ng minh trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y c\u1ee7a ch\u00fang ta. T\u1ea1i sao to\u00e1n h\u1ecdc l\u1ea1i \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 “ng\u00f4n ng\u1eef c\u1ee7a v\u0169 tr\u1ee5”? B\u1edfi v\u00ec to\u00e1n h\u1ecdc l\u00e0 m\u1ed9t c\u00f4ng c\u1ee5 h\u1eefu hi\u1ec7u \u0111\u1ec3 m\u00f4 t\u1ea3 v\u00e0 hi\u1ec3u th\u1ebf gi\u1edbi xung quanh ch\u00fang ta. C\u00e1c quy lu\u1eadt chi ph\u1ed1i s\u1ef1 v\u1eadn h\u00e0nh c\u1ee7a v\u0169 tr\u1ee5, t\u1eeb nh\u1eefng v\u1eadt th\u1ec3 nh\u1ecf b\u00e9 nh\u01b0 nguy\u00ean t\u1eed \u0111\u1ebfn nh\u1eefng thi\u00ean h\u00e0 kh\u1ed5ng l\u1ed3. \u2014 V\u00ec to\u00e1n h\u1ecdc ch\u00ednh l\u00e0 “ng\u00f4n ng\u1eef c\u1ee7a v\u0169 tr\u1ee5”, m\u1ed9t ng\u00f4n ng\u1eef kh\u00f4ng bao gi\u1edd sai ch\u00ednh t\u1ea3 v\u00e0 kh\u00f4ng bao gi\u1edd c\u1ea7n d\u00f9ng t\u1eeb \u0111i\u1ec3n. Khoa h\u1ecdc gi\u00fap ch\u00fang ta gi\u1ea3i m\u00e3 nh\u1eefng b\u00ed \u1ea9n c\u1ee7a v\u0169 tr\u1ee5, t\u1eeb vi\u1ec7c t\u00ednh to\u00e1n qu\u1ef9 \u0111\u1ea1o c\u1ee7a c\u00e1c h\u00e0nh tinh \u0111\u1ebfn ph\u00e2n t\u00edch c\u1ea5u tr\u00fac c\u1ee7a c\u00e1c t\u1ebf b\u00e0o trong c\u01a1 th\u1ec3 con ng\u01b0\u1eddi. Khi b\u1ea1n nh\u00ecn v\u00e0o m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc, n\u00f3 c\u00f3 th\u1ec3 nh\u01b0 m\u1ed9t c\u00e2u chuy\u1ec7n k\u1ef3 di\u1ec7u \u0111ang \u0111\u01b0\u1ee3c k\u1ec3. N\u00f3 cho b\u1ea1n c\u00e1i nh\u00ecn s\u00e2u s\u1eafc v\u00e0o c\u00e1ch m\u00e0 t\u1ef1 nhi\u00ean ho\u1ea1t \u0111\u1ed9ng v\u00e0 t\u1ea1o ra s\u1ef1 k\u1ebft n\u1ed1i gi\u1eefa c\u00e1c hi\u1ec7n t\u01b0\u1ee3ng kh\u00e1c nhau. V\u1eady n\u00ean, h\u00e3y \u0111\u1ec3 n\u00f3 l\u00e0 ng\u01b0\u1eddi d\u1eabn l\u1ed1i trong cu\u1ed9c phi\u00eau l\u01b0u kh\u00e1m ph\u00e1 v\u0169 tr\u1ee5 n\u00e0y. B\u1ea1n c\u00f3 th\u1ec3 kh\u00f4ng bi\u1ebft r\u00f5 t\u1eeb \u0111i\u1ec3n, nh\u01b0ng ch\u1ec9 c\u1ea7n hi\u1ec3u \u0111\u01b0\u1ee3c “ng\u00f4n ng\u1eef” n\u00e0y, b\u1ea1n \u0111\u00e3 c\u00f3 th\u1ec3 ti\u1ebfn xa trong vi\u1ec7c hi\u1ec3u r\u00f5 v\u1ec1 th\u1ebf gi\u1edbi xung quanh ch\u00fang ta. \u2014 \u00d4i, to\u00e1n h\u1ecdc, ng\u00f4n ng\u1eef c\u1ee7a v\u0169 tr\u1ee5! T\u1ea1i sao l\u1ea1i nh\u01b0 v\u1eady? \u0110\u01a1n gi\u1ea3n th\u00f4i, b\u1edfi v\u00ec \u0111\u00e2y l\u00e0 c\u00f4ng c\u1ee5 tuy\u1ec7t v\u1eddi \u0111\u1ec3 m\u00f4 t\u1ea3 v\u00e0 hi\u1ec3u th\u1ebf gi\u1edbi xung quanh ch\u00fang ta. N\u00f3 gi\u1ed1ng nh\u01b0 c\u00e1i k\u00ednh c\u1eadn cho n\u00e3o b\u1ed9, gi\u00fap ch\u00fang ta nh\u00ecn th\u1ea5y c\u00e1c quy lu\u1eadt \u1ea9n trong m\u1ecdi s\u1ef1 v\u1eadt v\u00e0 hi\u1ec7n t\u01b0\u1ee3ng. C\u00e1c quy lu\u1eadt to\u00e1n h\u1ecdc kh\u00f4ng ch\u1ec9 t\u1ed3n t\u1ea1i trong s\u00e1ch gi\u00e1o tr\u00ecnh hay b\u00e0i gi\u1ea3ng tr\u00ean l\u1edbp. Ch\u00fang chi ph\u1ed1i s\u1ef1 v\u1eadn h\u00e0nh c\u1ee7a c\u1ea3 v\u0169 tr\u1ee5 n\u00e0y \u0111\u1ea5y! T\u1eeb nh\u1eefng con nguy\u00ean t\u1eed b\u00e9 x\u00edu \u0111\u1ebfn nh\u1eefng thi\u00ean h\u00e0 kh\u1ed5ng l\u1ed3, m\u1ecdi th\u1ee9 \u0111\u1ec1u<\/p>","protected":false},"author":3,"featured_media":9193,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5],"tags":[],"class_list":["post-9224","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-science"],"yoast_head":"\nTo\u00e1n h\u1ecdc: Ng\u00f4n ng\u1eef c\u1ee7a v\u0169 tr\u1ee5 - 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