Yitang Zhang has been awarded the Ostrowski Prize for the year 2013

据 Ostrowski 基金会网站 Ostrowski Foundation, 2013 年的 Ostrowski 奖授予张益唐: The Ostrowski Prize for the year 2013 is confered to Yitang Zhang  张益唐从 2014 年开始以访问学者身份加入普林斯顿高等研究院. 他没有任何来自教学或者科研经费的压力, 可以专心的做理论研究. 自1989 年开始, Ostrowski 基金会每两年发一次奖, 奖金 \(100,000\) Swiss francs(瑞士法郎), 奖励 for …

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Geometric Trilogy: Axiomatic, Algebraic and Differential Approaches to Geometry

Spriger 刚刚出版了三卷本的 “Geometric Trilogy: Axiomatic, Algebraic and Differential Approaches to Geometry“, 作者 Francis Borceux. 这三本书的合集厚达 \(1400\) 页. The Trilogy intends to introduce the reader to the multiple complementary aspects of geometry, paying …

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Primes of the Form \(x^2+ny^2\): Fermat, Class Field Theory, and Complex Multiplication

有事外出, 马上要出发了, 下订单已经一个多月的数论书送到了, 就带在路上看吧! Primes of the Form \(x^2+ny^2\): Fermat, Class Field Theory, and Complex Multiplication David A. Cox,  John Wiley & Sons Inc, 2nd Revised edition 这是第二版哦! 这种题材的书, 朕最喜欢了, …

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Elementary Differential Geometry Books

最近好像事情不少, 没有能力来写啥深入的长篇大论. 微分几何最适合的入门书, 首推 Andrew Pressley 的 “Elementary Differential Geometry“!  2010年出版第二版, 不过笔误之类的小错误不少. 2012 年重印版本, 修正了很多. 这书的风格类似 David S. Dummit and Richard M. Foote, Abstract Algebra, 很多别的教科书忽略的细节, 这书都解释的很清晰. 不胜枚举的例子, 可以用来说明这一点. 诸如, 曲线的可允许参数变换, 自交点, …

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Undergraduate Algebraic Geometry Books

真心佩服 Springer! 出版的好书无数: 无数的系列, 每个系列都是几十, 几百. 很多的资讯都很独家, 极具价值! 代数几何最”浅”的书, 大概是 Vladimir I. Arnold 的 “Real Algebraic Geometry“!  Springer 刚刚出来英译本. 六章加一个附录, 刚好 100 页! 本书是面向高中生的讲座. 不过, 不懂一点拓扑学, 微积分, 射影几何, 是不可能完全看懂的! 虽然代数几何有不同的切入路径, 但是想入门代数几何, …

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The 2014 Cole Prize in Number Theory is awarded to Yitang Zhang, Goldston, Pintz and Yildirim

The 2014 Frank Nelson Cole Prize in Number Theory is awarded to Yitang Zhang(张益唐), Daniel Goldston, Janos Pintz and Y. Yildirim. 这是对他们在质数间隙取得的突破的肯定. 2005 年, Goldston, Pintz and Yildirim(GPY) 使用常规手段–Selberg Sieve 与 Bombieri-Vinogradov theorem–结合一些新的想法, …

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