图书标签: 数学 科普 传记 Math 朗兰兹纲领 物理 范畴论 英文原版
发表于2024-11-21
Love and Math pdf epub mobi txt 电子书 下载 2024
In "Love and Math," Berkeley professor Edward Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter and unites us across cultures, continents, and centuries. In this heartfelt and passionate book, Frenkel reveals a side of mathematics we've never seen, suffused with all the beauty and wonder of a work of art, appealing not only to the cerebral, but to the human and the spiritual.
"Love and Math" tells two intertwined stories: of amazing mathematics and of the journey of one young man learning and living it. Growing up in Russia, Frenkel was denied entrance to university to study mathematics because of discriminatory policies. Yet with the help of his mentors he circumvented the system to become one of the twenty-first century's leading mathematicians. He now works on one of the biggest ideas to come out of mathematics in the last 50 years: the Langlands Program, considered by many to be a Grand Unified Theory of Mathematics.
While most people are not blocked from studying mathematics, many see it as being impenetrable, or worse, irrelevant to their lives. At its core, "Love and Math" is a story about gaining entry to the previously inaccessible, which can enrich our lives and empower us to understand better the world and our place in it. It is an invitation to discover the wonders of the hidden universe of mathematics.
Edward Frenkel (Russian: Эдвард Френкель, Edvard Frenkel'; born May 2, 1968) is a mathematician working in representation theory, algebraic geometry, and mathematical physics. He is a professor of mathematics at University of California, Berkeley.
Frenkel grew up in Kolomna, Russia to a family of Russian Jews. As a high school student he studied higher mathematics privately with Evgeny Evgenievich Petrov, although his initial interest was in quantum physics rather than mathematics.[1] He was not admitted to Moscow State University because of discrimination against Jews and enrolled instead in the applied mathematics program at the Gubkin University of Oil and Gas. While a student there, he attended the seminar of Israel Gelfand and worked with Boris Feigin and Dmitry Fuchs. After receiving his college degree in 1989, he was first invited to Harvard University as a visiting professor, and a year later he enrolled as a graduate student at Harvard. He received his Ph.D. at Harvard University in 1991, after one year of study, under the direction of Joseph Bernstein. He was a Junior Fellow at the Harvard Society of Fellows from 1991 to 1994, and served as an associate professor at Harvard from 1994 to 1997. He has been a professor of mathematics at University of California, Berkeley since 1997.
Jointly with Boris Feigin, Frenkel constructed the free field realizations of affine Kac–Moody algebras (these are also known as Wakimoto modules), defined the quantum Drinfeld-Sokolov reduction, and described the center of the universal enveloping algebra of an affine Kac–Moody algebra. The last result, often referred to as Feigin–Frenkel isomorphism, has been used by Alexander Beilinson and Vladimir Drinfeld in their work on the geometric Langlands correspondence. Together with Nicolai Reshetikhin, Frenkel introduced deformations of W-algebras and q-characters of representations of quantum affine algebras.
Frenkel's recent work has focused on the Langlands program and its connections to representation theory, integrable systems, geometry, and physics. Together with Dennis Gaitsgory and Kari Vilonen, he has proved the geometric Langlands conjecture for GL(n). His joint work with Robert Langlands and Ngô Bảo Châu suggested a new approach to the functoriality of automorphic representations and trace formulas. He has also been investigating (in particular, in a joint work with Edward Witten) connections between the geometric Langlands correspondence and dualities in quantum field theory.
Frenkel has co-produced, co-directed (with Reine Graves) and played the lead in a short film "Rites of Love and Math", a homage to the film "Rite of Love and Death" (also known as "Yûkoku") by the Japanese writer Yukio Mishima. The film premiered in Paris in April, 2010 and was in the official competition of the Sitges International Film Festival in October, 2010. The screening of "Rites of Love and Math" in Berkeley on December 1, 2010 caused some controversy.
Frenkel's book Love and Math The Heart of Hidden Reality was published in October 2013.
澎湃!
评分Langlands The Grand Unified Theory:基本粒子分类是SU群,辫子群和DNA,欧拉函数和betti数的关系解释了数论和辫子群,从LANGLANDS角度思考共形场论问题,才能理解场论的本质。黎曼曲面 数论 有限域上的曲线三者等价
评分作者毫不犹豫的将自己的研究原汁原味的展现, 因为数学之爱能冲破所有的障碍
评分一半传记一半科普。更喜欢传记的部分,没想到苏联曾经还对犹太人有那么多限制。主题是Langlands program,在科普中也是独一无二的(这东西实在是超级重要)。总体还是挺好的PS:作者怎么说也是这个方向的领军人物之一,结果主页的个人照片搞得像明星似的= =PPS:数学和物理的科普的书一直看得不多,因为总觉得那种用生活语言描述出来的东西,和自己真正严格去学是完全是两个感觉。
评分我没看懂他怎么解释Gelois Group,没看懂什么是Langlands Program,但是我想我看懂了他想说什么
一 总体书评:本书的作者是一位热爱数学的世界级数学家,他从自己探索数学的乐趣出发,结合自己研究数学的经历,介绍了一部分近现代的数学知识。因此,这本书不同于数学教科书,它传播的不仅仅是数学知识,更是数学的本质和魅力,这是我所知的其他任何一本数学类书籍都无法相比...
评分看完了《爱与数学》这本书,其实有点出乎意料。 因为我以为它会是一本数学科普书——像《悖论》之类——给我们介绍一些数学知识的,但是看的时候我发现,它更像作者本人的自传,大部分的内容是在介绍作者的求学经历以及研究经历,而涉及到数学知识的并不多,而且到了后面我都直...
评分看完了《爱与数学》这本书,其实有点出乎意料。 因为我以为它会是一本数学科普书——像《悖论》之类——给我们介绍一些数学知识的,但是看的时候我发现,它更像作者本人的自传,大部分的内容是在介绍作者的求学经历以及研究经历,而涉及到数学知识的并不多,而且到了后面我都直...
评分E.E.Cumming1931年在他的诗中写到: 晶莹剔透的几何学迈着轻盈的步履 从骄傲孤寂的代数王国穿梭而过 却与一母所生的冷冰冰的算术撞了个满怀…… 数学想不到也可以这么的有诗意,可在现实的生活中有太多的人看不起数学了,还有学数学的人一般都比较不懂得浪漫,我...
评分一 总体书评:本书的作者是一位热爱数学的世界级数学家,他从自己探索数学的乐趣出发,结合自己研究数学的经历,介绍了一部分近现代的数学知识。因此,这本书不同于数学教科书,它传播的不仅仅是数学知识,更是数学的本质和魅力,这是我所知的其他任何一本数学类书籍都无法相比...
Love and Math pdf epub mobi txt 电子书 下载 2024