{"id":859,"date":"2013-11-25T11:19:04","date_gmt":"2013-11-25T03:19:04","guid":{"rendered":"http:\/\/systemsci.org\/jinshanw\/?p=859"},"modified":"2013-11-25T11:19:04","modified_gmt":"2013-11-25T03:19:04","slug":"%e6%89%93%e7%ae%97%e7%bc%96%e5%86%99%e4%b8%80%e6%9c%ac%e3%80%8a%e7%b3%bb%e7%bb%9f%e7%90%86%e8%ae%ba%e5%9f%ba%e7%a1%80%e3%80%8b%ef%bc%88%e5%90%8c%e6%97%b6%e4%b8%80%e6%9c%ac%e7%ae%80%e5%86%99%e6%9c%ac","status":"publish","type":"post","link":"https:\/\/www.systemsci.org\/jinshanw\/2013\/11\/25\/%e6%89%93%e7%ae%97%e7%bc%96%e5%86%99%e4%b8%80%e6%9c%ac%e3%80%8a%e7%b3%bb%e7%bb%9f%e7%90%86%e8%ae%ba%e5%9f%ba%e7%a1%80%e3%80%8b%ef%bc%88%e5%90%8c%e6%97%b6%e4%b8%80%e6%9c%ac%e7%ae%80%e5%86%99%e6%9c%ac\/","title":{"rendered":"\u6253\u7b97\u7f16\u5199\u4e00\u672c\u300a\u7cfb\u7edf\u7406\u8bba\u57fa\u7840\u300b\uff08\u540c\u65f6\u4e00\u672c\u7b80\u5199\u672c\u300a\u7cfb\u7edf\u79d1\u5b66\u5bfc\u8bba\u300b\uff09\u7684\u4e66"},"content":{"rendered":"

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\u4f5c\u4e3a\u6559\u6750,\u5c24\u5176\u662f\u65e8\u5728\u4fc3\u8fdb\u4e00\u4e2a\u5b66\u79d1\u7684\u53d1\u5c55\u7684\u6559\u6750,\u5e94\u8be5\u5c3d\u53ef\u80fd\u7684\u6765\u56de\u7b54\u8fd9\u4e2a\u9886\u57df\u72ec\u7acb\u6210\u4e3a\u4e00\u4e2a\u5b66\u79d1\u7684\u7406\u7531\u662f\u4ec0\u4e48,\u7814\u7a76\u5bf9\u8c61\u7684\u5171\u540c\u7279\u70b9\u662f\u4ec0\u4e48,\u6700\u57fa\u672c\u7684\u6982\u5ff5\u3001\u65b9\u6cd5\u4e0e\u6838\u5fc3\u516c\u5f0f\u662f\u4ec0\u4e48\u3002\u8fd9\u4e5f\u662f\u672c\u4e66\u7684\u4efb\u52a1\u3002\u4f46\u662f,\u6211\u4eec\u6ca1\u6709\u628a\u63e1\u6765\u56de\u7b54\u597d\u8fd9\u4e2a\u95ee\u9898\u3002\u5728\u8fd9\u91cc\u6211\u4eec\u4ec5\u4ec5\u6765\u629b\u4e00\u5757\u7816\u3002<\/p>\n

\u7cfb\u7edf\u79d1\u5b66\u7684\u57fa\u672c\u7814\u7a76\u76ee\u6807\u6709\u4e24\u4e2a\u5c42\u9762\u3002\u7b2c\u4e00\u3001\u5982\u4f55\u5904\u7406\u5728\u5404\u79cd\u5404\u6837\u7684\u7cfb\u7edf\u4e4b\u4e2d\u7684\u591a\u4e2a\u4e2a\u4f53\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528,\u8ba8\u8bba\u5176\u5bf9\u7cfb\u7edf\u7684\u6027\u8d28\u548c\u529f\u80fd\u7684\u5f71\u54cd;\u7b2c\u4e8c\u3001\u5982\u4f55\u628a\u5bf9\u4e00\u79cd\u7cfb\u7edf\u7684\u7814\u7a76\u65b9\u6cd5\u62bd\u8c61\u51fa\u6765\u5e94\u7528\u4e8e\u66f4\u591a\u7684\u7cfb\u7edf\u3002\u4e24\u8005\u90fd\u662f\u65b9\u6cd5\u8bba\u5c42\u6b21\u7684\u76ee\u6807,\u524d\u8005\u6bd4\u540e\u8005\u7a0d\u5fae\u5177\u4f53\u4e00\u4e9b\u3002\u5982\u679c\u6211\u4eec\u628a\u76f8\u4e92\u4f5c\u7528\u5c40\u9650\u5728\u56db\u79cd\u57fa\u672c\u76f8\u4e92\u4f5c\u7528(\u5f15\u529b\u3001\u7535\u78c1\u3001\u5f3a\u3001\u5f31)\u7684\u6846\u67b6\u5185,\u90a3\u4e48\u6211\u4eec\u8ba8\u8bba\u7684\u5c31\u662f\u7edf\u8ba1\u7269\u7406\u5b66\u4e0e\u573a\u8bba\u7684\u57fa\u672c\u5bf9\u8c61\u548c\u76ee\u6807\u3002\u7cfb\u7edf\u79d1\u5b66\u53ef\u4ee5\u5305\u542b\u66f4\u5e7f\u4e49\u7684\u76f8\u4e92\u4f5c\u7528,\u4f8b\u5982\u4eba\u7fa4\u4e4b\u95f4\u7684\u610f\u89c1\u5f62\u6210\u4e0e\u4f20\u64ad,\u5176\u76f8\u4e92\u4f5c\u7528\u5f62\u5f0f\u5c31\u4e0d\u80fd\u76f4\u63a5\u8fd8\u539f\u6210\u4e3a\u56db\u79cd\u57fa\u672c\u76f8\u4e92\u4f5c\u7528\u3002\u6cbf\u7740\u8fd9\u4e2a\u601d\u8def\u3002\u5728\u6bcf\u4e00\u4e2a\u5c42\u6b21,\u6709\u8fd9\u4e2a\u5c42\u6b21\u81ea\u5df1\u7684\u76f8\u4e92\u4f5c\u7528,\u8fd9\u79cd\u5f62\u5f0f\u7684\u76f8\u4e92\u4f5c\u7528\u5982\u4f55\u4ece\u66f4\u5e95\u5c42\u66f4\u57fa\u672c\u7684\u76f8\u4e92\u4f5c\u7528\u4e2d\u6d8c\u73b0\u51fa\u6765,\u4e5f\u662f\u7cfb\u7edf\u79d1\u5b66\u7814\u7a76\u7684\u4e00\u4e2a\u7814\u7a76\u5bf9\u8c61\u3002\u540e\u8005\u5176\u5b9e\u662f\u6240\u6709\u7684\u81ea\u7136\u79d1\u5b66(\u4ee5\u53ca\u90e8\u5206\u793e\u4f1a\u79d1\u5b66)\u7684\u7814\u7a76\u76ee\u6807,\u60f3\u529e\u6cd5\u5904\u7406\u4e00\u4e2a\u7cfb\u7edf,\u63a5\u7740\u62bd\u8c61\u4e00\u822c\u6982\u5ff5\u4e0e\u65b9\u6cd5\u6765\u5904\u7406\u66f4\u591a\u7684\u7cfb\u7edf\u3002\u90a3\u4e48\u4e3a\u4ec0\u4e48\u8981\u5355\u72ec\u63d0\u51fa\u6765\u4f5c\u4e3a\u7cfb\u7edf\u79d1\u5b66\u7684\u4e00\u4e2a\u6709\u7279\u70b9\u7684\u7814\u7a76\u76ee\u6807\u5462?\u5728\u8fd9\u91cc,\u6211\u4eec\u5f3a\u8c03,\u4f20\u7edf\u7684\u5b66\u79d1\u662f\u6309\u7167\u7814\u7a76\u5bf9\u8c61\u7684\u67d0\u79cd\u5171\u6027\u6765\u533a\u5206\u7684,\u800c\u7cfb\u7edf\u79d1\u5b66\u7684\u7814\u7a76\u5bf9\u8c61\u53ef\u4ee5\u6ca1\u6709\u4efb\u4f55\u5171\u6027,\u53ef\u4ee5\u6765\u81ea\u4e8e\u4efb\u4f55\u4e00\u4e2a\u4f20\u7edf\u5b66\u79d1,\u53ea\u8981\u800c\u4e14\u5e0c\u671b,\u8fd9\u6837\u7684\u8de8\u5b66\u79d1\u7684\u7814\u7a76\u5bf9\u8c61\u7684\u7814\u7a76\u65b9\u6cd5\u4e0a\u5b58\u5728\u8fd9\u5171\u6027\u3002\u4f8b\u5982\u76f8\u53d8\u4e0e\u4e34\u754c\u73b0\u8c61\u539f\u6765\u662f\u6765\u81ea\u4e8e\u7269\u7406\u5b66,\u5c24\u5176\u662f\u7edf\u8ba1\u7269\u7406\u5b66,\u7684\u7814\u7a76\u5bf9\u8c61,\u540e\u6765\u4eba\u4eec\u53d1\u73b0\u5728\u5730\u7406\u5b66\u3001\u751f\u6001\u5b66\u3001\u793e\u4f1a\u5b66\u751a\u81f3\u795e\u7ecf\u79d1\u5b66\u4e2d\u90fd\u5927\u91cf\u5b58\u5728\u8fd9\u591a\u4e2a\u4f53\u7ec4\u6210\u7684\u7cfb\u7edf\u6574\u4f53\u72b6\u6001\u51fa\u73b0\u5b9a\u6027\u53d8\u5316,\u4e5f\u5c31\u662f\u76f8\u53d8\u8fd9\u6837\u7684\u73b0\u8c61,\u56e0\u6b64\u4ece\u7269\u7406\u5b66\u53d1\u5c55\u8d77\u6765\u7684\u4e34\u754c\u73b0\u8c61\u7684\u7814\u7a76\u65b9\u6cd5(\u4f8b\u5982\u5e8f\u53c2\u91cf\u3001\u76f8\u53d8\u70b9\u9644\u8fd1\u7684\u957f\u7a0b\u5173\u8054\u3001\u91cd\u6574\u5316\u7fa4\u3001Metropolis \u6a21\u62df\u65b9\u6cd5)\u81ea\u7136\u4e5f\u5c31\u5728\u4ee5\u4e0a\u8fd9\u4e9b\u5b66\u79d1\u7684\u76f8\u5e94\u7814\u7a76\u4e2d\u7684\u5230\u4e86\u5e94\u7528\u3002\u901a\u8fc7\u672c\u4e66\u7684\u4f8b\u5b50,\u591a\u5927\u7a0b\u5ea6\u4e0a\u6211\u4eec\u80fd\u591f\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898,\u591a\u5927\u7a0b\u5ea6\u4e0a\u6211\u4eec\u80fd\u591f\u6309\u7167\u8fd9\u4e2a\u601d\u8def\u6765\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898,\u53ea\u80fd\u591f\u7559\u5f85\u672c\u4e66\u4f7f\u7528\u8005\u7684\u68c0\u9a8c\u4e86\u3002<\/p>\n

\u7531\u4e8e\u524d\u9762\u63d0\u5230\u7684\u672c\u5b66\u79d1\u57fa\u672c\u6982\u5ff5\u4e0e\u65b9\u6cd5\u4e4b\u95f4\u7684\u8054\u7cfb\u7684\u7d27\u5bc6\u548c\u4e00\u81f4\u6027\u7a0b\u5ea6\u8fd8\u4e0d\u9ad8,\u6211\u4eec\u53c8\u5e0c\u671b\u901a\u8fc7\u672c\u4e66\u80fd\u591f\u7ed9\u51fa\u4e00\u4e2a\u6bd4\u8f83\u6e05\u6670\u7684\u7cfb\u7edf\u79d1\u5b66\u7684\u56fe\u50cf,\u5728\u672c\u4e66\u4e2d\u6211\u4eec\u5c1d\u8bd5\u4f7f\u7528\u4e86\u4e00\u4e2a\u6bd4\u8f83\u65b0\u7684\u5b66\u4e60\u6280\u672f:\u6982\u5ff5\u5730\u56fe\u3002\u6982\u5ff5\u5730\u56fe\u5c31\u662f\u628a\u6982\u5ff5\u4e0e\u6982\u5ff5\u4e4b\u95f4\u7684\u8fde\u63a5\u753b\u6210\u4e00\u5f20\u56fe,\u7528\u6765\u6574\u7406\u5236\u4f5c\u8005\u7684\u601d\u8def,\u6307\u5f15\u5b66\u4e60\u8005\u5bf9\u6982\u5ff5\u7684\u7406\u89e3\u3002<\/p>\n

\u672c\u4e66\u7684\u903b\u8f91\u4f53\u7cfb\u3001\u5185\u5bb9\u9009\u53d6\u90fd\u4ec5\u4ec5\u662f\u4e00\u4e2a\u5c1d\u8bd5,\u800c\u4e14\u662f\u4e0e\u901a\u5e38\u7684\u6559\u6750\u4e0d\u90a3\u4e48\u4e00\u6837\u7684\u4e00\u4e2a\u5c1d\u8bd5\u3002\u6211\u4eec\u5e0c\u671b\u672c\u4e66\u5177\u4f53\u5185\u5bb9\u53d1\u6325\u4e00\u5b9a\u4f5c\u7528\u7684\u540c\u65f6,\u4e5f\u5e0c\u671b\u5b83\u5c3d\u65e9\u5730\u88ab\u903b\u8f91\u4f53\u7cfb\u548c\u5177\u4f53\u5185\u5bb9\u90fd\u66f4\u597d\u7684\u4e66\u53d6\u4ee3\u3002\u8fd9\u6837\u624d\u80fd\u8868\u660e\u672c\u5b66\u79d1\u7684\u6210\u719f\u5ea6\u7684\u5230\u4e86\u63d0\u9ad8,\u5b66\u79d1\u53d6\u5f97\u4e86\u53d1\u5c55\u3002\u53e6\u4e00\u65b9\u9762,\u6211\u4eec\u4e5f\u5e0c\u671b\u672c\u4e66\u7684\u7f16\u64b0\u539f\u5219\u548c\u7279\u70b9,\u5b83\u4eec\u662f\u5185\u5bb9\u6765\u81ea\u4e8e\u7814\u7a76\u8bba\u6587\u3001\u5927\u91cf\u7684\u6765\u81ea\u4e8e\u7814\u7a76\u8bfe\u9898\u7684\u4e60\u9898\u3001\u5b66\u4e60\u65b9\u6cd5\u65b9\u9762\u7684\u4e00\u5b9a\u7684\u8003\u8651\u3001\u6280\u672f\u548c\u6982\u5ff5\u5e76\u91cd\u538b\u7f29\u5bf9\u601d\u60f3\u7684\u8ba8\u8bba,\u5f97\u5230\u5ef6\u7eed\u3002<\/strong><\/p>\n

\u76ee\u5f55
\n\u7b2c\u4e00\u90e8\u5206 \u7cfb\u7edf\u79d1\u5b66\u5bfc\u8bba:Overview of Systems Science
\n\u7b2c\u4e00\u7ae0 \u5f15 \u8a00: \u7cfb \u7edf \u79d1 \u5b66 \u7684 \u7cfb \u7edf \u79d1 \u5b66 \u7684 \u601d \u60f3\u3001 \u76ee \u6807 \u548c \u5b9a \u4f4d:System
\nThinking, Goals and Scientific Role of Systems Science
\n1.1 \u70ed\u5bc2\u8bf4\u3001\u4f20\u7edf\u7269\u7406\u7cfb\u7edf\u7684\u76f8\u53d8\u4e0e\u5f00\u653e\u7cfb\u7edf\u7ed3\u6784\u7684\u4ea7\u751f . . . . . 13
\n1.2 \u6574\u4f53\u8fd0\u52a8\u7684\u6fc0\u53d1\u6a21\u5f0f . . . . . . . . . . . . . . . . . . . . . . . 14
\n1.3 \u76f8\u53d8\u4e0e\u4e34\u754c\u6027\u7684\u4f8b\u5b50 . . . . . . . . . . . . . . . . . . . . . . . 14
\n1.3.1 \u4f20\u7edf\u76f8\u4e92\u4f5c\u7528\u4e0e\u76f8\u53d8\u3001\u4e34\u754c\u6027:Ising \u6a21\u578b . . . . . . . 14
\n1.3.2 \u6d8c\u73b0\u3001\u81ea\u7ec4\u7ec7\u4e34\u754c:Bak-Tang-Wiesenfeld \u6c99\u5806 . . . . 14
\n1.4 \u76f8\u4e92\u4f5c\u7528,\u5468\u671f\u5206\u53c9\u4e0e\u6df7\u6c8c\u7684\u4f8b\u5b50 . . . . . . . . . . . . . . . 14
\n1.5 \u76f8\u4e92\u4f5c\u7528\u4e0e\u7f51\u7edc\u79d1\u5b66\u7684\u4f8b\u5b50:\u6c49\u5b57\u7814\u7a76\u3001\u79d1\u5b66\u9886\u57df\u4e4b\u95f4\u7684\u5173\u7cfb 14
\n1.6 \u535a\u5f08\u4e0e\u76f8\u4e92\u4f5c\u7528\u7684\u4f8b\u5b50 . . . . . . . . . . . . . . . . . . . . . . 14
\n1.7 \u6f14\u5316\u4e0e\u5b9a\u6001\u7684\u4f8b\u5b50 . . . . . . . . . . . . . . . . . . . . . . . . 14
\n1.8 \u7ea6\u675f\u4e0b\u5b9a\u6001\u4e0e\u52a8\u6001\u8fc7\u7a0b\u7684\u4f18\u5316\u7684\u4f8b\u5b50 . . . . . . . . . . . . . . 15
\n1.8.1 \u7ea6\u675f\u4e0b\u5b9a\u6001\u4f18\u5316\u7684\u4f8b\u5b50:\u9879\u76ee\u7ba1\u7406 . . . . . . . . . . . 15
\n1.8.2 \u52a8\u6001\u8fc7\u7a0b\u4f18\u5316\u7684\u4f8b\u5b50:\u94f6\u884c\u5b58\u6b3e . . . . . . . . . . . . . 15
\n\u7b2c\u4e8c\u7ae0 \u4e3a\u4ec0\u4e48\u8981\u5b66\u4e60\u6570\u5b66\u7269\u7406\u57fa\u7840:Why math and physics
\n2.1 \u6982\u5ff5\u3001\u6570\u5b66\u6a21\u578b\u7684\u6765\u6e90:\u65b0\u7684\u4f8b\u5b50\u6216\u8005\u524d\u9762\u7684\u4f8b\u5b50\u518d\u9610\u8ff0
\n2.2 \u5904\u7406\u65b9\u6cd5\u7684\u6765\u6e90:\u4f8b\u5b50 . . . . . . . . . . . . . . . . . . . . . . 17
\n2.3 \u7814\u7a76\u5bf9\u8c61\u7684\u6765\u6e90:\u4f8b\u5b50 . . . . . . . . . . . . . . . . . . . . . . 17
\n\u7b2c\u4e8c\u90e8\u5206 \u7cfb\u7edf\u79d1\u5b66\u7684\u6570\u5b66\u7269\u7406\u57fa\u7840:Math and Physics Foundation of Systems Science 19
\n\u7b2c\u4e09\u7ae0 \u7ebf\u6027\u4ee3\u6570 23
\n3.1 \u96c6\u5408\u4e0e\u6620\u5c04\u7684\u8bed\u8a00 . . . . . . . . . . . . . . . . . . . . . . . . 23
\n3.2 \u4ece\u7fa4\u5230\u7ebf\u6027\u7a7a\u95f4 . . . . . . . . . . . . . . . . . . . . . . . . . . 23
\n3.2.1 \u7fa4\u3001\u534a\u7fa4 . . . . . . . . . . . . . . . . . . . . . . . . . 23
\n3.2.2 \u7ebf\u6027\u7a7a\u95f4\u7684\u77e2\u91cf . . . . . . . . . . . . . . . . . . . . . . 23
\n3.2.3 \u77e2\u91cf\u5185\u79ef . . . . . . . . . . . . . . . . . . . . . . . . . 23
\n3.2.4 \u7ebf\u6027\u7b97\u7b26 . . . . . . . . . . . . . . . . . . . . . . . . . 23
\n3.3 \u7ebf\u6027\u53d8\u6362\u4e0e\u8868\u8c61\u7406\u8bba . . . . . . . . . . . . . . . . . . . . . . . 24
\n3.4 \u6570\u503c\u7ebf\u6027\u4ee3\u6570 . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
\n\u7b2c\u56db\u7ae0 \u6982\u7387\u8bba
\n4.1 \u53e4\u5178\u6982\u578b:\u79bb\u6563\u6982\u7387\u4e0e\u51e0\u4f55\u6982\u7387 . . . . . . . . . . . . . . . . . 25
\n4.2 \u73b0\u4ee3\u6982\u7387\u4e09\u5143\u4f53 . . . . . . . . . . . . . . . . . . . . . . . . . . 25
\n4.3 \u5927\u6570\u5b9a\u5f8b\u4e0e\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406
\n4.4 \u6982\u7387\u8bba\u7684 Dirac \u7b26\u53f7\u5f62\u5f0f . . . . . . . . . . . . . . . . . . . . 25
\n4.5 \u968f\u673a\u8fc7\u7a0b\u521d\u6b65 . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
\n4.6 Monte Carlo \u65b9\u6cd5 . . . . . . . . . . . . . . . . . . . . . . . . . 25
\n4.7 \u968f\u673a\u53d8\u91cf\u7684\u6d4b\u91cf . . . . . . . . . . . . . . . . . . . . . . . . . . 25
\n\u7b2c\u4e94\u7ae0 \u529b\u5b66:Mechanics
\n5.1 \u529b\u5b66\u601d\u60f3:Mechanial Thinking . . . . . . . . . . . . . . . . . 27
\n5.2 \u725b\u987f\u529b\u5b66\u7684\u57fa\u672c\u6982\u5ff5:Newtonian Mechanics . . . . . . . . . . 27
\n5.3 \u5206\u6790\u529b\u5b66\u7684\u6280\u672f:Lagrangian and Hamiltonian Mechanics techniques . . . 27
\n5.4 \u672c\u7ae0\u5c0f\u7ed3
\n\u7b2c\u516d\u7ae0 \u7edf\u8ba1\u529b\u5b66:Statistical Mechanics
\n6.1 \u4ece\u529b\u5b66\u5230\u7edf\u8ba1\u529b\u5b66:from Mechanics to Statistical Mechanics
\n6.2 \u7edf\u8ba1\u529b\u5b66\u7684\u57fa\u672c\u7406\u8bba:Ensemble Theory . . . . . . . . . . . . 32
\n6.3 \u5728\u7269\u7406\u5b66\u4ee5\u53ca\u5176\u4ed6\u5b66\u79d1\u4e2d\u7684\u71b5:Entropy in physics and others 32
\n6.4 \u4e34\u754c\u73b0\u8c61\u4e0e Metropolis \u65b9\u6cd5: Metropolis method and critical phenomena . . . 32
\n6.5 \u672c\u7ae0\u5c0f\u7ed3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
\n6.6 \u672c\u7ae0\u6280\u672f\u6027\u9644\u5f55 . . . . . . . . . . . . . . . . . . . . . . . . . . 32
\n\u7b2c\u4e03\u7ae0 \u91cf\u5b50\u529b\u5b66:Quantum Mechanics
\n7.1 \u91cf\u5b50\u7cfb\u7edf\u7684\u5b9e\u9a8c:Behaviours of Quantum Systems . . . . . . 33
\n7.2 \u91cf\u5b50\u7684\u57fa\u672c\u7406\u8bba:Mathematical Theory of Quantum Systems 33
\n\u7b2c\u4e09\u90e8\u5206 \u7cfb\u7edf\u79d1\u5b66\u7684\u57fa\u672c\u7406\u8bba 35
\n\u7b2c\u516b\u7ae0 \u7ebf\u6027\u4e0e\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u7b80\u8bba 37
\n8.1 \u7ebf\u6027\u7cfb\u7edf\u7684\u6f14\u5316 . . . . . . . . . . . . . . . . . . . . . . . . . . 37
\n8.2 \u975e\u7ebf\u6027\u7cfb\u7edf\u7684\u7ebf\u6027\u5316:\u5b9a\u6001\u4e0e\u7ebf\u6027\u7a33\u5b9a\u6027
\n8.3 \u6df7\u6c8c\u4e0e\u5206\u652f . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
\n8.4 \u66f4\u591a\u7684\u5177\u4f53\u7cfb\u7edf\u4e0a\u7684\u7814\u7a76\u5b9e\u4f8b . . . . . . . . . . . . . . . . . . 37
\n\u7b2c\u4e5d\u7ae0 \u76f8\u53d8\u3001\u4e34\u754c\u6027\u4e0e\u81ea\u7ec4\u7ec7\u4e34\u754c\u6027 . . . . . . . . . . . 37
\n9.1 \u76f8\u53d8\u7684\u7814\u7a76\u65b9\u6cd5 . . . . . . . . . . . . . . . . . . . . . . . . . . 39
\n9.2 \u4e34\u754c\u884c\u4e3a
\n9.3 \u81ea\u7ec4\u7ec7\u4e34\u754c\u6027 . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
\n9.4 \u66f4\u591a\u7684\u5177\u4f53\u7cfb\u7edf\u4e0a\u7684\u7814\u7a76\u5b9e\u4f8b . . . . . . . . . . . . . . . . . . 39
\n\u7b2c\u5341\u7ae0 \u590d\u6742\u7f51\u7edc\u6982\u8bba
\n10.1 \u590d\u6742\u7f51\u7edc\u7684\u63cf\u8ff0\u65b9\u6cd5 . . . . . . . . . . . . . . . . . . . . . . . 41
\n10.2 \u57fa\u672c\u9759\u6001\u91cf . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
\n10.3 \u7f51\u7edc\u6f14\u5316 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
\n10.4 \u7f51\u7edc\u4e0a\u7684\u52a8\u529b\u5b66 . . . . . . . . . . . . . . . . . . . . . . . . . . 41
\n10.5 \u7f51\u7edc\u79d1\u5b66\u5e94\u7528 . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
\n\u7b2c\u5341\u4e00\u7ae0 \u535a\u5f08\u8bba\u4e0e\u6f14\u5316\u535a\u5f08\u6982\u8bba
\n11.1 \u535a\u5f08\u3001\u535a\u5f08\u8bba\u4e0e Nash \u5747\u8861 . . . . . . . . . . . . . . . . . . . 43
\n11.2 \u7406\u8bba\u4e0e\u5b9e\u9645\u7684\u5bf9\u6bd4:Nash \u5747\u8861\u7684\u63cf\u8ff0\u80fd\u529b . . . . . . . . . . . 43
\n11.3 \u6f14\u5316\u535a\u5f08:\u5747\u8861\u5b9e\u73b0\u7684\u95ee\u9898 . . . . . . . . . . . . . . . . . . . 43
\n11.4 \u65b0\u7684\u5747\u8861\u7684\u95ee\u9898 . . . . . . . . . . . . . . . . . . . . . . . . . . 43
\n11.5 \u66f4\u591a\u7684\u5177\u4f53\u7cfb\u7edf\u4e0a\u7684\u7814\u7a76\u5b9e\u4f8b . . . . . . . . . . . . . . . . . . 43
\n\u7b2c\u5341\u4e8c\u7ae0 \u4f18\u5316\u7406\u8bba
\n12.1 \u8fd0\u7b79\u5b66\u6982\u8bba . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
\n12.1.1 \u57fa\u672c\u95ee\u9898\u53ca\u5176\u6570\u5b66\u63cf\u8ff0 . . . . . . . . . . . . . . . . . . 45
\n12.1.2 \u95ee\u9898\u7684\u89e3\u51b3\u65b9\u6cd5\u4e3e\u4f8b . . . . . . . . . . . . . . . . . . . 45
\n12.1.3 \u66f4\u591a\u7684\u5177\u4f53\u7cfb\u7edf\u4e0a\u7684\u7814\u7a76\u5b9e\u4f8b . . . . . . . . . . . . . . 45
\n12.2 \u63a7\u5236\u8bba\u6982\u8bba . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
\n12.2.1 \u57fa\u672c\u95ee\u9898\u53ca\u5176\u6570\u5b66\u63cf\u8ff0 . . . . . . . . . . . . . . . . . . 45
\n12.2.2 \u95ee\u9898\u7684\u89e3\u51b3\u65b9\u6cd5\u4e3e\u4f8b . . . . . . . . . . . . . . . . . . . 45
\n12.2.3 \u66f4\u591a\u7684\u5177\u4f53\u7cfb\u7edf\u4e0a\u7684\u7814\u7a76\u5b9e\u4f8b . . . . . . . . . . . . . . 45
\n\u7b2c\u56db\u90e8\u5206 \u9644\u5f55:\u8ba1\u7b97\u6280\u672f
\n\u7b2c\u5341\u4e09\u7ae0 \u8bed\u8a00\u4e0e\u5de5\u5177\u7684\u5b66\u4e60\u8d44\u6e90: Resource for programming language and packages of scientific computation
\n13.1 C \u8bed\u8a00\u3001Python \u4e0e\u7f16\u7a0b\u98ce\u683c . . . . . . . . . . . . . . . . . . 49
\n13.2 BLAS\u3001Lapack\u3001Petsc\u3001Slepc \u4e0e\u5e76\u884c\u8ba1\u7b97\u521d\u6b65 . . . . . . . . 49
\n13.3 xmds2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\n13.4 sage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\n13.5 NetLogo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\n13.6 Swarm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\n13.7 \u6982\u5ff5\u5730\u56fe\u4e0e Cmaptools \u7b80\u4ecb . . . . . . . . . . . . . . . . . . . 49<\/p>\n","protected":false},"excerpt":{"rendered":"

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