Through "Euclid's Window" Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.
Mlodinow reveals how geometry's first revolution began with a "little" scheme hatched by Pythagoras: the invention of a system of abstract rules that could model the universe. That modest idea was the basis of scientific civilization. But further advance was halted when the Western mind nodded off into the Dark Ages. Finally in the fourteenth century an obscure bishop in France invented the graph and heralded the next revolution: the marriage of geometry and number. Then, while intrepid mariners were sailing back and forth across the Atlantic to the New World, a fifteen-year-old genius realized that, like the earth's surface, space could be curved. Could parallel lines really meet? Could the angles of a triangle really add up to more -- or less -- than 180 degrees? The curved-space revolution reinvented both mathematics and physics; it also set the stage for a patent office clerk named Einstein to add time to the dimensions of space. His great geometric revolution ushered in the modern era of physics.
Today we are in the midst of a new revolution. At Caltech, Princeton, and universities around the world, scientists are recognizing that all the varied and wondrous forces of nature can be understood through geometry --a weird new geometry. It is a thrilling math of extra, twisted dimensions, in which space and time, matter and energy, are all intertwined and revealed as consequences of a deep, underlying structure of the universe.
Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, "Euclid's Window" is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through "Euclid's Window, " no space, no thing, and no time will ever be quite the same.
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Technology and the Visual Arts in the Nineteenth Century
Is scientific theory really just a matter of persuasion? Do scientists merely invent rather than discover? Do scientists merely invent rather than discover? Indeed, do brute facts of nature gain meaning only within a rhetorical context?
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現代文明最重要、最複雜、最難以述說的一段歷史。 左右人類命運的,不是神,而是科學大轉折! 史詩般壯闊、細膩交錯編織的科學發展史。 ...
C .帕莫( ) ,美國陸軍你戴爾電腦公司( )有什麼點子?菲利絲.麥康奈爾( ) ,如果這些辦法都無效,怎麼辦?接下來怎麼辦?雪莉.賈瑞特( ) ,專業講師及作家我們如何贏得這個顧客的喝采?艾薇.馬修( ) ,考克斯傳播公司( )人力資源公司( )你今天要如何影響組織, ...
恒星照相从 1857年由邦德开始实验以后,在60年代由英国天文爱好者沃伦·德拉鲁(公元1815~1889年)和美国的刘易斯·莫里斯·拉瑟弗德(公元1816~1892年)继续发展着,他们拍到了星团(如昴星团)的优秀照片。但是首先拍得一大批恒星照片的天文学家当推美国的杰.
當時已經以格林威治的皇家天文臺為中心。是無所不通的虎克所計畫的;當時他與雷恩爵士在大火( Great Fire )之後再建倫敦。航海者離岸很遠時,要定出自己的位置(經、緯度) ,就可以把他對星星的讀數與格林威治的讀數比較。
Renaissance diplomat and part-time spy, William Hakluyt was also England's first serious geographer, gathering together a wealth of accounts about the wide-ranging travels and discoveries of the sixteenth-century English.