Workflow
偏微分方程
icon
Search documents
高中没毕业直接读博,17岁少女推翻40年数学猜想后的下一步
猿大侠· 2025-08-09 04:33
时令 发自 凹非寺 量子位 | 公众号 QbitAI 汉娜彻底火了,关于她如何解决这一猜想的更多故事细节也逐渐曝光。 今年2月份,年仅17岁的汉娜推翻Mizohata-Takeuchi猜想,震惊数学界。 Mizohata-Takeuchi猜想 ,诞生于上世纪80年代,是连接调和分析、偏微分方程和几何分析的核心桥梁。 如果它被推翻,几十年来关于傅里叶限制、PDE良性等核心问题的思考,也要重新更改思路。 这简直是给整个学术界扔下一枚"重磅炸弹"! 怪不得数学家们接连感叹: 11岁学会微积分,14岁具备大学水平的数学能力,17岁推翻40年前数学猜想。 如今虽未高中毕业,却已获得马里兰大学博士的录取资格。 在北大校友张瑞祥老师的指导下, 汉娜·凯罗 不断突破极限。 数学,带她穿越孤独,走向广阔世界 汉娜在巴哈马的首都拿骚长大,和她的两个兄弟一样,在家接受教育。 她最初接触数学,是通过可汗学院的在线课程,没过多久便完成了全部课程。11岁时,她已经学会了微积分。 很快,现有的网络课程已无法满足她的学习需求。 父母为此给她找了两位数学教授进行远程辅导,先是韦尔斯利学院的Martin Magid,后是克拉克大学的Amir A ...
高中没毕业直接读博,17岁少女推翻40年数学猜想后的下一步
量子位· 2025-08-08 07:23
时令 发自 凹非寺 量子位 | 公众号 QbitAI 11岁学会微积分,14岁具备大学水平的数学能力,17岁推翻40年前数学猜想。 如今虽未高中毕业,却已获得马里兰大学博士的录取资格。 在北大校友张瑞祥老师的指导下, 汉娜·凯罗 不断突破极限。 今年2月份,年仅17岁的汉娜推翻Mizohata-Takeuchi猜想,震惊数学界。 Mizohata-Takeuchi猜想 ,诞生于上世纪80年代,是连接调和分析、偏微分方程和几何分析的核心桥梁。 如果它被推翻,几十年来关于傅里叶限制、PDE良性等核心问题的思考,也要重新更改思路。 这简直是给整个学术界扔下一枚"重磅炸弹"! 怪不得数学家们接连感叹: 汉娜彻底火了,关于她如何解决这一猜想的更多故事细节也逐渐曝光。 数学,带她穿越孤独,走向广阔世界 汉娜在巴哈马的首都拿骚长大,和她的两个兄弟一样,在家接受教育。 她最初接触数学,是通过可汗学院的在线课程,没过多久便完成了全部课程。11岁时,她已经学会了微积分。 很快,现有的网络课程已无法满足她的学习需求。 父母为此给她找了两位数学教授进行远程辅导,先是韦尔斯利学院的Martin Magid,后是克拉克大学的Amir A ...
经典教材《泛函分析》作者逝世,享年99岁:首位获阿贝尔奖的应用数学家
量子位· 2025-05-18 05:20
Core Viewpoint - Peter Lax, the first applied mathematician to receive the Abel Prize, passed away at the age of 99, marking the end of an era in mathematics and science [1][49]. Group 1: Contributions to Mathematics - Lax was a pioneer in applying computer technology to mathematical analysis and made significant contributions that are still widely used in scientific research and engineering practices [4][5]. - His notable works include the classic textbook "Functional Analysis" and other widely appreciated texts such as "Calculus and Its Applications" and "Linear Algebra and Its Applications" [2][6][7]. - Lax's research spanned various fields, including partial differential equations, fluid mechanics, numerical computation, scattering theory, and integrable systems, leading to profound theoretical results and practical algorithms [33]. Group 2: Awards and Recognition - Lax received numerous prestigious awards, including the National Medal of Science in 1986 and the Wolf Prize in 1987, culminating in being the first applied mathematician to win the Abel Prize in 2005 for his foundational work in partial differential equations [35][36]. - The Abel Prize committee described him as "the most versatile mathematician of his generation," highlighting his broad impact on the field [37]. Group 3: Personal Background and Legacy - Born on May 1, 1926, in Budapest, Lax showed exceptional mathematical talent from a young age, influenced by his family and mentors [15][16][17]. - His experiences during World War II, including his work on the Manhattan Project, shaped his understanding of the importance of computation in science [23][24][25]. - Lax's legacy includes not only his research and publications but also his commitment to education and mentorship, having trained over 55 doctoral students [46].