Book Description
In the tradition of "Longitude, " a small and engagingly written book on the history and meaning of zero--a "tour de force" of science history that takes us through the hollow circle that leads to infinity. 32 illustrations.
Author :
Publisher : Oxford University Press, USA
Page : 238 pages
File Size : 45,30 MB
Release : 2000
Category : Mathematics
ISBN : 0195128427
In the tradition of "Longitude, " a small and engagingly written book on the history and meaning of zero--a "tour de force" of science history that takes us through the hollow circle that leads to infinity. 32 illustrations.
Author :
Publisher : BRILL
Page : 787 pages
File Size : 42,14 MB
Release : 2024-03-11
Category : Philosophy
ISBN : 9004691561
Zero has been axial in human development, but the origin and discovery of zero has never been satisfactorily addressed by a comprehensive, systematic and above all interdisciplinary research program. In this volume, over 40 international scholars explore zero under four broad themes: history; religion, philosophy & linguistics; arts; and mathematics & the sciences. Some propose that the invention/discovery of zero may have been facilitated by the prior evolution of a sophisticated concept of Nothingness or Emptiness (as it is understood in non-European traditions); and conversely, inhibited by the absence of, or aversion to, such a concept of Nothingness in the West. But not all scholars agree. Join the debate.
Author : Charles Seife
Publisher : Souvenir Press
Page : 268 pages
File Size : 43,79 MB
Release : 2019-11-28
Category : Mathematics
ISBN : 1782837329
A NEW YORK TIMES NOTABLE BOOK The Babylonians invented it, the Greeks banned it, the Hindus worshipped it, and the Christian Church used it to fend off heretics. Today it's a timebomb ticking in the heart of astrophysics. For zero, infinity's twin, is not like other numbers. It is both nothing and everything. Zero has pitted East against West and faith against reason, and its intransigence persists in the dark core of a black hole and the brilliant flash of the Big Bang. Today, zero lies at the heart of one of the biggest scientific controversies of all time: the quest for a theory of everything. Within the concept of zero lies a philosophical and scientific history of humanity. Charles Seife's elegant and witty account takes us from Aristotle to superstring theory by way of Egyptian geometry, Kabbalism, Einstein, the Chandrasekhar limit and Stephen Hawking. Covering centuries of thought, it is a concise tour of a world of ideas, bound up in the simple notion of nothing.
Author : Amir D. Aczel
Publisher : Macmillan + ORM
Page : 199 pages
File Size : 36,75 MB
Release : 2015-01-06
Category : Mathematics
ISBN : 1466879106
“A captivating story, not just an intellectual quest but a personal one . . . gripping [and] filled with the passion and wonder of numbers.” —The New York Times Virtually everything in our lives is digital, numerical, or quantified. But the story of how and where we got these numerals, which we so depend on, has for thousands of years been shrouded in mystery. Finding Zero is the saga of Amir Aczel’s lifelong obsession: to find the original sources of our numerals, perhaps the greatest abstraction the human mind has ever created. Aczel has doggedly crisscrossed the ancient world, scouring dusty, moldy texts, cross-examining so-called scholars who offered wildly differing sets of facts, and ultimately penetrating deep into a Cambodian jungle to find a definitive proof. Here, he takes the reader along for the ride. The history begins with Babylonian cuneiform numbers, followed by Greek and Roman letter numerals. Then Aczel asks: Where do the numbers we use today, the so-called Hindu-Arabic numerals, come from? It is this search that leads him to explore uncharted territory on a grand quest into India, Thailand, Laos, Vietnam, and ultimately into the wilds of Cambodia. There he is blown away to find the earliest zero—the keystone of our entire system of numbers—on a crumbling, vine-covered wall of a seventh-century temple adorned with eaten-away erotic sculptures. While on this odyssey, Aczel meets a host of fascinating characters: academics in search of truth, jungle trekkers looking for adventure, surprisingly honest politicians, shameless smugglers, and treacherous archaeological thieves—who finally reveal where our numbers come from. “A historical adventure that doubles as a surprisingly engaging math lesson . . . rip-roaring exploits and escapades.” —Publishers Weekly
Author : William Gibson
Publisher : Penguin
Page : 544 pages
File Size : 50,23 MB
Release : 2010-09-07
Category : Fiction
ISBN : 1101443316
Hollis Henry never intended to work for global marketing magnate Hubertus Bigend again. But now she’s broke, and Bigend has just the thing to get her back in the game... Milgrim can disappear in almost any setting, and his Russian is perfectly idiomatic—so much so that he spoke it with his therapist in the secret Swiss clinic where Bigend paid for him to be cured of his addiction... Garreth doesn't owe Bigend a thing. But he does have friends from whom he can call in the kinds of favors powerful people need when things go sideways... They all have something Bigend wants as he finds himself outmaneuvered and adrift, after a Department of Defense contract for combat-wear turns out to be the gateway drug for arms dealers so shadowy they can out-Bigend Bigend himself. “Zero History is [Gibson’s] best yet, a triumph of science fiction as social criticism and adventure.”—BoingBoing.net
Author : Jacob Klein
Publisher : Courier Corporation
Page : 246 pages
File Size : 17,76 MB
Release : 2013-04-22
Category : Mathematics
ISBN : 0486319814
Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Author : Robert Axelrod
Publisher : Basic Books
Page : 258 pages
File Size : 49,90 MB
Release : 2009-04-29
Category : Business & Economics
ISBN : 0786734884
A famed political scientist's classic argument for a more cooperative world We assume that, in a world ruled by natural selection, selfishness pays. So why cooperate? In The Evolution of Cooperation, political scientist Robert Axelrod seeks to answer this question. In 1980, he organized the famed Computer Prisoners Dilemma Tournament, which sought to find the optimal strategy for survival in a particular game. Over and over, the simplest strategy, a cooperative program called Tit for Tat, shut out the competition. In other words, cooperation, not unfettered competition, turns out to be our best chance for survival. A vital book for leaders and decision makers, The Evolution of Cooperation reveals how cooperative principles help us think better about everything from military strategy, to political elections, to family dynamics.
Author : Ekkehard Kopp
Publisher : Open Book Publishers
Page : 280 pages
File Size : 26,8 MB
Release : 2020-10-23
Category : Mathematics
ISBN : 1800640978
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Author : Terence Tao
Publisher : American Mathematical Soc.
Page : 206 pages
File Size : 20,16 MB
Release : 2021-09-03
Category : Education
ISBN : 1470466406
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Author : Hillel Cohen
Publisher : Brandeis University Press
Page : 314 pages
File Size : 34,74 MB
Release : 2015-10-22
Category : History
ISBN : 1611688124
In late summer 1929, a countrywide outbreak of Arab-Jewish-British violence transformed the political landscape of Palestine forever. In contrast with those who point to the wars of 1948 and 1967, historian Hillel Cohen marks these bloody events as year zero of the Arab-Israeli conflict that persists today. The murderous violence inflicted on Jews caused a fractious - and now traumatized - community of Zionists, non-Zionists, Ashkenazim, and Mizrachim to coalesce around a unified national consciousness arrayed against an implacable Arab enemy. While the Jews unified, Arabs came to grasp the national essence of the conflict, realizing that Jews of all stripes viewed the land as belonging to the Jewish people. Through memory and historiography, in a manner both associative and highly calculated, Cohen traces the horrific events of August 23 to September 1 in painstaking detail. He extends his geographic and chronological reach and uses a non-linear reconstruction of events to call for a thorough reconsideration of cause and effect. Sifting through Arab and Hebrew sources - many rarely, if ever, examined before - Cohen reflects on the attitudes and perceptions of Jews and Arabs who experienced the events and, most significantly, on the memories they bequeathed to later generations. The result is a multifaceted and revealing examination of a formative series of episodes that will intrigue historians, political scientists, and others interested in understanding the essence - and the very beginning - of what has been an intractable conflict.