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計(jì)算 版權(quán)信息
- ISBN：9787121464997
- 條形碼：9787121464997 ; 978-7-121-46499-7
- 裝幀：平裝-膠訂
- 冊數(shù)：暫無
- 重量：暫無
- 所屬分類：>
計(jì)算 本書特色
1.“計(jì)算”是科技的引擎和所有科技熱點(diǎn)的中心，全球首度以此為線索的硬核科普讀物。 2.作者曾是阿里云初創(chuàng)團(tuán)隊(duì)成員之一，也曾是阿里巴巴杰出青年科學(xué)家中的翹楚，在書中的觀點(diǎn)新銳又深邃，博古通今又主線鮮明，史實(shí)珍稀又富含洞察。 3.科技與互聯(lián)網(wǎng)公司一眾與計(jì)算生態(tài)息息相關(guān)的業(yè)者，可以通過這本書及這個(gè)系列，理解計(jì)算的深邃內(nèi)涵與歷史沿革，以及關(guān)鍵命脈與終極歸宿。
計(jì)算 內(nèi)容簡介
摩爾定律快要走到盡頭，但計(jì)算革命不會(huì)終止。更好的軟件編程、3D芯片和量子計(jì)算等方法應(yīng)運(yùn)而生，其中云計(jì)算將成為業(yè)界應(yīng)對(duì)摩爾定律消亡的很好手段，物聯(lián)網(wǎng)（IoT）的興起將讓我們逼近一個(gè)"消失點(diǎn)”，此前計(jì)算機(jī)的形體從大到小，此后計(jì)算機(jī)將變得"無形”，使計(jì)算無處不在，智能融入日常生活。本書由計(jì)算專業(yè)領(lǐng)域的專家學(xué)者知名吳翰清執(zhí)筆，代表他及背后的阿里公司，對(duì)計(jì)算這個(gè)科技終極命題的感悟、展望和深刻洞察。本書為三卷書中的**卷，著眼于對(duì)計(jì)算非常重要的數(shù)學(xué)，覆蓋了量重要的數(shù)學(xué)家、數(shù)學(xué)成就及相關(guān)史實(shí)及其關(guān)聯(lián)。
計(jì)算 目錄
導(dǎo)論 ....................................................................................................................................1
**部分 計(jì)算的誕生
第 1 章 畢達(dá)哥拉斯的困惑..............................................................................................24
數(shù)的計(jì)算 .......................................................................................................................24
從數(shù)覺到計(jì)數(shù) .......................................................................................................24
文明古國的計(jì)算 ...................................................................................................28
畢達(dá)哥拉斯學(xué)派 ...........................................................................................................30
柏拉圖的理想世界 .......................................................................................................40
**次數(shù)學(xué)危機(jī) ...........................................................................................................44
無理數(shù)的發(fā)現(xiàn) .......................................................................................................44
芝諾悖論：無窮之辯 ...........................................................................................46
演繹推理：邏輯學(xué)和幾何學(xué) .......................................................................................51
亞里士多德的邏輯學(xué) ...........................................................................................51
歐幾里得的《幾何原本》 ...................................................................................55
悖論：推理的暗面 ...............................................................................................59
第 2 章 計(jì)算之術(shù) ............................................................................................................62
代數(shù)：字符的計(jì)算 .......................................................................................................62
符號(hào)與代數(shù) ...................................................................................................................63
零的誕生 ...............................................................................................................63
言辭代數(shù) ...............................................................................................................65
未知量的表示 .......................................................................................................68
還原與對(duì)消 ...........................................................................................................70
代數(shù)符號(hào) ...............................................................................................................73
求解多項(xiàng)式方程 ...........................................................................................................77
從數(shù)值解到代數(shù)解 ...............................................................................................77
三次方程的求根公式 ...........................................................................................81
不可約：復(fù)數(shù)的發(fā)現(xiàn) ...........................................................................................84
數(shù)系的擴(kuò)張 ...........................................................................................................89
代數(shù)基本定理 .......................................................................................................92
代數(shù)的結(jié)構(gòu) ...................................................................................................................94
求解一元五次方程 ...............................................................................................94
方程根的結(jié)構(gòu) .......................................................................................................95
伽羅瓦的遺珠 .....................................................................................................101
計(jì)算工具 .....................................................................................................................108
人類計(jì)算員 .........................................................................................................109
面向機(jī)器的計(jì)算思維 .........................................................................................111
第 3 章 萊布尼茨的計(jì)算之夢 ........................................................................................116
數(shù)理邏輯的創(chuàng)立 .........................................................................................................117
人類思想字母表 .........................................................................................................120
思想的大衍術(shù) .....................................................................................................121
計(jì)算之夢 .....................................................................................................................125
思維規(guī)律的研究 .........................................................................................................127
19 世紀(jì)數(shù)理邏輯的復(fù)興 ....................................................................................127
布爾的邏輯代數(shù) .................................................................................................129
第二部分 計(jì)算的數(shù)學(xué)基礎(chǔ)
第 4 章 數(shù)學(xué)的基礎(chǔ).......................................................................................................136
第二次數(shù)學(xué)危機(jī) .........................................................................................................136
微積分的發(fā)明 .....................................................................................................136
消失的鬼魂：貝克萊悖論 .................................................................................139
分析的嚴(yán)格化 .....................................................................................................140
集合論的誕生 .............................................................................................................142
無窮大有多大 .....................................................................................................142
對(duì)角線方法 .........................................................................................................146
康托爾的超窮數(shù) .........................................................................................................148
超窮基數(shù)與超窮序數(shù) .........................................................................................148
連續(xù)統(tǒng)假設(shè) .........................................................................................................152
算術(shù)的邏輯化 .............................................................................................................156
弗雷格的“概念文字” .....................................................................................156
自然數(shù)的定義 .....................................................................................................159
第 5 章 第三次數(shù)學(xué)危機(jī) ...............................................................................................163
危機(jī)：羅素悖論 .........................................................................................................163
集合論悖論 .........................................................................................................163
自我指涉 .............................................................................................................165
悖論的解決方法 .................................................................................................168
邏輯主義進(jìn)路 .............................................................................................................169
直覺主義進(jìn)路 ...................................................................................................
**部分 計(jì)算的誕生
第 1 章 畢達(dá)哥拉斯的困惑..............................................................................................24
數(shù)的計(jì)算 .......................................................................................................................24
從數(shù)覺到計(jì)數(shù) .......................................................................................................24
文明古國的計(jì)算 ...................................................................................................28
畢達(dá)哥拉斯學(xué)派 ...........................................................................................................30
柏拉圖的理想世界 .......................................................................................................40
**次數(shù)學(xué)危機(jī) ...........................................................................................................44
無理數(shù)的發(fā)現(xiàn) .......................................................................................................44
芝諾悖論：無窮之辯 ...........................................................................................46
演繹推理：邏輯學(xué)和幾何學(xué) .......................................................................................51
亞里士多德的邏輯學(xué) ...........................................................................................51
歐幾里得的《幾何原本》 ...................................................................................55
悖論：推理的暗面 ...............................................................................................59
第 2 章 計(jì)算之術(shù) ............................................................................................................62
代數(shù)：字符的計(jì)算 .......................................................................................................62
符號(hào)與代數(shù) ...................................................................................................................63
零的誕生 ...............................................................................................................63
言辭代數(shù) ...............................................................................................................65
未知量的表示 .......................................................................................................68
還原與對(duì)消 ...........................................................................................................70
代數(shù)符號(hào) ...............................................................................................................73
求解多項(xiàng)式方程 ...........................................................................................................77
從數(shù)值解到代數(shù)解 ...............................................................................................77
三次方程的求根公式 ...........................................................................................81
不可約：復(fù)數(shù)的發(fā)現(xiàn) ...........................................................................................84
數(shù)系的擴(kuò)張 ...........................................................................................................89
代數(shù)基本定理 .......................................................................................................92
代數(shù)的結(jié)構(gòu) ...................................................................................................................94
求解一元五次方程 ...............................................................................................94
方程根的結(jié)構(gòu) .......................................................................................................95
伽羅瓦的遺珠 .....................................................................................................101
計(jì)算工具 .....................................................................................................................108
人類計(jì)算員 .........................................................................................................109
面向機(jī)器的計(jì)算思維 .........................................................................................111
第 3 章 萊布尼茨的計(jì)算之夢 ........................................................................................116
數(shù)理邏輯的創(chuàng)立 .........................................................................................................117
人類思想字母表 .........................................................................................................120
思想的大衍術(shù) .....................................................................................................121
計(jì)算之夢 .....................................................................................................................125
思維規(guī)律的研究 .........................................................................................................127
19 世紀(jì)數(shù)理邏輯的復(fù)興 ....................................................................................127
布爾的邏輯代數(shù) .................................................................................................129
第二部分 計(jì)算的數(shù)學(xué)基礎(chǔ)
第 4 章 數(shù)學(xué)的基礎(chǔ).......................................................................................................136
第二次數(shù)學(xué)危機(jī) .........................................................................................................136
微積分的發(fā)明 .....................................................................................................136
消失的鬼魂：貝克萊悖論 .................................................................................139
分析的嚴(yán)格化 .....................................................................................................140
集合論的誕生 .............................................................................................................142
無窮大有多大 .....................................................................................................142
對(duì)角線方法 .........................................................................................................146
康托爾的超窮數(shù) .........................................................................................................148
超窮基數(shù)與超窮序數(shù) .........................................................................................148
連續(xù)統(tǒng)假設(shè) .........................................................................................................152
算術(shù)的邏輯化 .............................................................................................................156
弗雷格的“概念文字” .....................................................................................156
自然數(shù)的定義 .....................................................................................................159
第 5 章 第三次數(shù)學(xué)危機(jī) ...............................................................................................163
危機(jī)：羅素悖論 .........................................................................................................163
集合論悖論 .........................................................................................................163
自我指涉 .............................................................................................................165
悖論的解決方法 .................................................................................................168
邏輯主義進(jìn)路 .............................................................................................................169
直覺主義進(jìn)路 ...................................................................................................
展開全部
計(jì)算 作者簡介
吳翰清，畢業(yè)于西安交通大學(xué)少年班。清華大學(xué)創(chuàng)新領(lǐng)軍工程博士（人工智能方向，在讀）。2005年加入阿里，創(chuàng)建了阿里巴巴、淘寶、支付寶的安全體系，也是阿里云初創(chuàng)團(tuán)隊(duì)成員，是阿里安全從無到有、從有到強(qiáng)的親歷者。2017年開始致力于城市大腦的研究與建設(shè)，專注于構(gòu)建機(jī)器智能系統(tǒng)。2017年入選 MIT 全球青年科技創(chuàng)新人才榜，是中國互聯(lián)網(wǎng)安全領(lǐng)域入選 TR35 的第一人。2019年入選「大數(shù)據(jù)文摘」評(píng)選的「30位新生代數(shù)字經(jīng)濟(jì)人才」。2019年當(dāng)選中國青年科技工作者協(xié)會(huì)第六屆理事。公益項(xiàng)目“計(jì)算圖書館”發(fā)起人。目前正致力于人工智能的研究和創(chuàng)業(yè)。
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