数学
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张益唐 111 页论文攻克朗道 - 西格尔零点猜想
10月15日的一个下午,我正在拜读张益唐的《Bounded Gaps Between Primes》论文,前面正看的入迷的时候,突然传来了一个重磅的消息,张益唐已证明朗道-西格尔零点猜想,当时各大自媒体新闻直接炸了,光是素数的有界间距证明了存在无穷组间距小于七千万的相邻素
![https://static001.geekbang.org/infoq/fa/fadd71a98905ea76920fcd02a0b0cdaf.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/fa/fadd71a98905ea76920fcd02a0b0cdaf.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
举三反一,一通百通的“数学脑”是怎样炼成的?
“举三反一”的“一”其实是花样百出的题目背后所隐藏的基本概念和规律,以及正确的思维范式。掌握基础知识和概念,了解正确的思考方法,我们才能学会从题目中看出本质的东西
![https://static001.geekbang.org/infoq/fa/fadd71a98905ea76920fcd02a0b0cdaf.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/fa/fadd71a98905ea76920fcd02a0b0cdaf.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
举三反一,一通百通的“数学脑”是怎样炼成的?
“举三反一”的“一”其实是花样百出的题目背后所隐藏的基本概念和规律,以及正确的思维范式。掌握基础知识和概念,了解正确的思考方法,我们才能学会从题目中看出本质的东西。
![https://static001.geekbang.org/infoq/3f/3f4391c1b4f19a9deb80df8e2e9109fb.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/3f/3f4391c1b4f19a9deb80df8e2e9109fb.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
![https://static001.geekbang.org/infoq/3f/3f4391c1b4f19a9deb80df8e2e9109fb.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/3f/3f4391c1b4f19a9deb80df8e2e9109fb.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
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![https://static001.geekbang.org/infoq/90/90dfe866ddabd818b593a23f19c410ed.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/90/90dfe866ddabd818b593a23f19c410ed.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
![https://static001.geekbang.org/infoq/ba/baf0d9c29fe39ca6200fed0b15ac0759.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/ba/baf0d9c29fe39ca6200fed0b15ac0759.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
![https://static001.geekbang.org/infoq/ba/baf0d9c29fe39ca6200fed0b15ac0759.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/ba/baf0d9c29fe39ca6200fed0b15ac0759.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
![https://static001.geekbang.org/infoq/5e/5ef2fe132a8d5e9868de543a7fdc9308.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/5e/5ef2fe132a8d5e9868de543a7fdc9308.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
![https://static001.geekbang.org/infoq/5e/5ef2fe132a8d5e9868de543a7fdc9308.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/5e/5ef2fe132a8d5e9868de543a7fdc9308.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
![https://static001.geekbang.org/infoq/c0/c0b62fbe82190ad8bedb0851c8ce1796.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/c0/c0b62fbe82190ad8bedb0851c8ce1796.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
![https://static001.geekbang.org/infoq/c0/c0b62fbe82190ad8bedb0851c8ce1796.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/c0/c0b62fbe82190ad8bedb0851c8ce1796.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
![https://static001.geekbang.org/infoq/2d/2d2bee084dda23c86ef68223d62064da.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/2d/2d2bee084dda23c86ef68223d62064da.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
![https://static001.geekbang.org/infoq/2d/2d2bee084dda23c86ef68223d62064da.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/2d/2d2bee084dda23c86ef68223d62064da.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
![https://static001.geekbang.org/infoq/17/17657127f982a89e3b14b9c8a635690f.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/17/17657127f982a89e3b14b9c8a635690f.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
![https://static001.geekbang.org/infoq/4b/4b1c903d29068f1b4811484d18620699.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/4b/4b1c903d29068f1b4811484d18620699.jpeg?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
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![https://static001.geekbang.org/infoq/fa/fa10b95aaad5709a34ee9f1a8594a373.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234](https://static001.geekbang.org/infoq/fa/fa10b95aaad5709a34ee9f1a8594a373.png?x-oss-process=image%2Fresize%2Cw_416%2Ch_234)
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人工智能从业者需要掌握哪些数学知识
目前的人工智能领域主要有深度学习、自然语言处理、计算机视觉、智能机器人、自动程序设计、数据挖掘等方面,这些领域全部与数据有关,而庞大的数据计算离不开数学的支持,尤其是人工智能赖以发展的大数据,更需要数学理论以及数学理论创新来实现。
《程序员数学:使用 Python 进行 3D 图形,机器学习和仿真》PDF 免费下载
面向程序员的数学:使用Python进行3D图形,机器学习和仿真
经典之作——《数学之美》第二版 - 吴军
几年前,“数学之美”系列文章原刊载于谷歌黑板报,获得上百万次点击,得到读者高度评价。正式出版前,吴军博士几乎把所有文章都重写了一遍,为的是把高深的数学原理讲得更加通俗易懂,让非专业读者也能领略数学的魅力。