Love and Math pdf epub mobi txt 电子书 下载 2024


Love and Math

简体网页||繁体网页
Edward Frenkel
Basic Books
2013-10-1
304
USD 27.99
Hardcover
9780465050741

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   


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发表于2024-05-14

Love and Math epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Love and Math epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Love and Math pdf epub mobi txt 电子书 下载 2024



图书描述

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.

Love and Math 下载 mobi epub pdf txt 电子书

著者简介

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.


图书目录


Love and Math pdf epub mobi txt 电子书 下载
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用户评价

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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

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It is a book about how to appreciate the art of math.

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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。

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an analogy: geometric Langlands abstracted from algebraic Langlands

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1. Frenkel 显然在语言表达上相当有天赋,作为非英语母语的数学工作者,能够完成这样一部清晰而有吸引力的作品的确很棒;但是更为重要的是这本书传达的核心观点之一:即应该把数理研究最前沿最震撼人心的部分展现给青年人,大学初期教育甚至中学教育中能够瞥一眼山峰会是很珍贵的体验。 2. 这本书也算是 Frenkel 的自传,了解了更多他的故事后,原来质疑的方面(包括对媒体和大众的过度注意力)消解了不少;另一方面书中提到当初 Frenkel 决定继续留在哈佛时 Borya Feigin 曾对他说在美国会被很多诱惑分散注意力,应该回莫斯科。不知Feigin现在作何感想。 3. Langlands Program 真是太吸引人了,和 QFT 的对偶也许会成为未来的工作方向。

读后感

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与其说这本书讲述的是作者的成长经历,不如说是弗伦克尔对数学的深爱。 刚看书名,爱跟数学有什么关系呢?尽管我知道一些爱的方程式,比如笛卡尔之心,三维之心等,但依旧好奇,看完才知道,这个爱是作者对于数学那份深爱:莫斯科大学不喜欢犹太人,即使他们再优秀,但是弗伦克...  

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作者是个很会讲故事的人。作者的的个人经历的故事线以及介绍朗兰兹纲领的线巧妙地嵌在了一起,数学之美跃然纸上。书中的内容对于自己的研究也有许多有价值的启发。全书表述很清晰,但限于自己的水平,有的地方不甚了然。日后有机会可以再细细参详。 印象最深刻的就是作者善于利...  

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作者是个很会讲故事的人。作者的的个人经历的故事线以及介绍朗兰兹纲领的线巧妙地嵌在了一起,数学之美跃然纸上。书中的内容对于自己的研究也有许多有价值的启发。全书表述很清晰,但限于自己的水平,有的地方不甚了然。日后有机会可以再细细参详。 印象最深刻的就是作者善于利...  

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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...  

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