图书标签: 数学 數學
发表于2025-02-12
Is God a Mathematician? pdf epub mobi txt 电子书 下载 2025
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.
Mario Livio 1945年出生于罗马尼亚,1950年定居以色列,耶路撒冷希伯莱大学本科毕业,魏兹曼科学院硕士,特拉维夫大学博士。多年来从事天体物理研究,1981 年~1991年任以色列理工学院物理学教授,而后加入美国马里兰州巴尔的摩市的哈勃太空望远镜研究所,现任该所外展服务部门负责人。他所著的The Golden Ratio曾获国际毕达哥拉斯奖和佩亚诺奖,The Equation That Couldn’t Be Solved和The Accelerating Universe等著作也都在《自然》、《经济学家》、《科学》等权威期刊上得到极高的评价。
相当一般。无论是深度、广度还是作者想给读者的哲学提示,都远不如克莱因的《数学:确定性的丧失》一书。如果真想对数学的本质有所了解,这本书虽说不上是误人子弟,但是绝对太过流于表面了。 豆瓣怎么也这么不地道了,已经写了很多了,还说简短,不给发表!!! 对一本好书...
评分对于学过微积分随机过程各种代数几何的学生而言,一直没读过像这种讲数学的big picture的书。当我看到笛卡尔坐标系把代数和几何完美地结合在一起的时候,心里真的很是激动。就感觉从小到大学的数学那些点点都被连接成了线,很好的结合在了一起。 这本我觉得挺难的,尤其是最后...
评分引言以罗素的一段话开始总结此书: 因此,如果要总结哲学价值的话,可以说,哲学是用来研究的,而不是用以寻找它所提问题的确切答案,因为没有一种确定的答案可以被视为亘古不变的真理,相反,哲学本身就是寻找问题。正是这些问题拓展了我们对可能性的这种概念的理解,丰富了我...
评分这本书简直解答了我的许多困惑。数学无理由的有效性究竟从何而来,数学既是发明又是发现,比如数学里面一些发明,竟然可以在其他领域里,被应用,比如研究随机现象的布朗运动竟然可以无缝衔接金融里面的随机现象,一个是人类研究物理世界时的发明和创造,一个是人类经济活动,...
评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...
Is God a Mathematician? pdf epub mobi txt 电子书 下载 2025