Mario Livio 1945年齣生於羅馬尼亞,1950年定居以色列,耶路撒冷希伯萊大學本科畢業,魏茲曼科學院碩士,特拉維夫大學博士。多年來從事天體物理研究,1981 年~1991年任以色列理工學院物理學教授,而後加入美國馬裏蘭州巴爾的摩市的哈勃太空望遠鏡研究所,現任該所外展服務部門負責人。他所著的The Golden Ratio曾獲國際畢達哥拉斯奬和佩亞諾奬,The Equation That Couldn’t Be Solved和The Accelerating Universe等著作也都在《自然》、《經濟學傢》、《科學》等權威期刊上得到極高的評價。
Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that -- mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is "a product of human thought that is independent of experience," how can it so accurately describe and even predict the world around us? Mathematicians themselves often insist that their work has no practical effect. The British mathematician G. H. Hardy went so far as to describe his own work this way: "No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world." He was wrong. The Hardy-Weinberg law allows population geneticists to predict how genes are transmitted from one generation to the next, and Hardy's work on the theory of numbers found unexpected implications in the development of codes. Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.
柏拉图原本不是个数学家而是个科技哲学家,柏拉图其实没什么可圈可点的数学成果,但他推崇数学并能对数学做出有见地的评论,柏拉图学院的石碑上书“不懂几何者勿入”。柏拉图的哲学观念在数学家中影响深远,彪炳史册的G.H.哈代、保罗·埃尔德什、罗杰·彭罗斯等数学家或物理学...
評分春节间各种饭局与赶路的间隙读完的书。 一个很有意思的问题:数学是客观存在的还是人类发明。但论述远不如标题吸引人。花了近半篇幅在古希腊与中世纪,而近现代数学部分篇幅太少。最后一章总结更是有种“哥裤子都脱了你就给我说这个?”的感觉。 没读过《古今数学思想》(大...
評分这本书中,作者想澄清这两个问题:数学的本质,以及数学和物质世界、人类思维之间关系的本质。它不是一本包罗万象的数学史,而是按照数学中的一些关键概念的演化过程来组织结构,这些概念可以有效帮助我们认识数学的本质,同时作者引经据典,传奇的历史人物和神秘的古老传...
評分著名的英国牛津大学数学物理学家罗杰·彭罗斯(Roger Penrose)意识到,人类周围不仅有一个世界,而应该有三个神秘世界。 按彭罗斯的划分,这三个世界是:意识感知的世界、物理现实的世界和数学形式的柏拉图世界。 第一个世界是我们所有精神影像的家园,包括我们看到自己孩子笑...
評分著名的英国牛津大学数学物理学家罗杰·彭罗斯(Roger Penrose)意识到,人类周围不仅有一个世界,而应该有三个神秘世界。 按彭罗斯的划分,这三个世界是:意识感知的世界、物理现实的世界和数学形式的柏拉图世界。 第一个世界是我们所有精神影像的家园,包括我们看到自己孩子笑...
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