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.
##an analogy: geometric Langlands abstracted from algebraic Langlands
評分##頭一次看到有關於數學的科普書來解釋Langlands program, 或者準備一點兒說,是關於geometric langlands program的,很喜歡書裏提到的那封A. Weil寫給他妹妹的信,記得原來讀E.Frenkle的那篇lecture note時候就有提到這個,特彆有共鳴
評分##作者毫不猶豫的將自己的研究原汁原味的展現, 因為數學之愛能衝破所有的障礙
評分##Langlands The Grand Unified Theory:基本粒子分類是SU群,辮子群和DNA,歐拉函數和betti數的關係解釋瞭數論和辮子群,從LANGLANDS角度思考共形場論問題,纔能理解場論的本質。黎曼麯麵 數論 有限域上的麯綫三者等價
評分##我沒看懂他怎麼解釋Gelois Group,沒看懂什麼是Langlands Program,但是我想我看懂瞭他想說什麼
評分##A good motivation for studying math.
評分##Frenkel傳奇的半生。這裏麵的科普,行外人是看不懂的吧
評分1. Frenkel 顯然在語言錶達上相當有天賦,作為非英語母語的數學工作者,能夠完成這樣一部清晰而有吸引力的作品的確很棒;但是更為重要的是這本書傳達的核心觀點之一:即應該把數理研究最前沿最震撼人心的部分展現給青年人,大學初期教育甚至中學教育中能夠瞥一眼山峰會是很珍貴的體驗。 2. 這本書也算是 Frenkel 的自傳,瞭解瞭更多他的故事後,原來質疑的方麵(包括對媒體和大眾的過度注意力)消解瞭不少;另一方麵書中提到當初 Frenkel 決定繼續留在哈佛時 Borya Feigin 曾對他說在美國會被很多誘惑分散注意力,應該迴莫斯科。不知Feigin現在作何感想。 3. Langlands Program 真是太吸引人瞭,和 QFT 的對偶也許會成為未來的工作方嚮。
評分##an analogy: geometric Langlands abstracted from algebraic Langlands
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