Infinity Through The Centuries
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Author | : Chris Waring |
Publisher | : Michael O'Mara Books |
Total Pages | : 170 |
Release | : 2012-09-06 |
Genre | : Mathematics |
ISBN | : 1843179210 |
Do you want to know why the Ancient Greeks knew so much maths? Or, why there was so little maths studied in the Dark Ages? Read this fascinating book to uncover the mysteries of maths ...
Author | : David Deutsch |
Publisher | : Penguin UK |
Total Pages | : 571 |
Release | : 2011-03-31 |
Genre | : Science |
ISBN | : 0141969695 |
'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman
Author | : Paolo Zellini |
Publisher | : Penguin Global |
Total Pages | : 212 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : |
In A Brief History of Infinity, the infinite in all its forms - viewed from the perspective of mathematicians, philosophers, and theologians - is explored, as Zellini strives to explain this fundamental principle. What is the difference between trueand false infinity? How might we explain away the puzzle of Zeno's paradox? And how is the concept of infinity helping us as we wrestle with the fundamental uncertainties of the quantum world? Paolo Zellini shows that the concept of the infinite is a multifaceted one, and eloquently demonstrates the manner in which humanity has attempted to comprehend that concept for millenia.
Author | : Brian Clegg |
Publisher | : Robinson |
Total Pages | : 185 |
Release | : 2013-02-07 |
Genre | : Mathematics |
ISBN | : 1472107640 |
'Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a journey into paradox. Here is a quantity that turns arithmetic on its head, making it feasible that 1 = 0. Here is a concept that enables us to cram as many extra guests as we like into an already full hotel. Most bizarrely of all, it is quite easy to show that there must be something bigger than infinity - when it surely should be the biggest thing that could possibly be. Brian Clegg takes us on a fascinating tour of that borderland between the extremely large and the ultimate that takes us from Archimedes, counting the grains of sand that would fill the universe, to the latest theories on the physical reality of the infinite. Full of unexpected delights, whether St Augustine contemplating the nature of creation, Newton and Leibniz battling over ownership of calculus, or Cantor struggling to publicise his vision of the transfinite, infinity's fascination is in the way it brings together the everyday and the extraordinary, prosaic daily life and the esoteric. Whether your interest in infinity is mathematical, philosophical, spiritual or just plain curious, this accessible book offers a stimulating and entertaining read.
Author | : Loren Graham |
Publisher | : Harvard University Press |
Total Pages | : 252 |
Release | : 2009-03-31 |
Genre | : History |
ISBN | : 0674032934 |
In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.
Author | : Ian Stewart |
Publisher | : Profile Books |
Total Pages | : 468 |
Release | : 2013-03-07 |
Genre | : Mathematics |
ISBN | : 1847653510 |
There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.
Author | : Allen S. Weiss |
Publisher | : Princeton Architectural Press |
Total Pages | : 116 |
Release | : 1995 |
Genre | : Architecture |
ISBN | : 9781568980508 |
Resource added for the Landscape Horticulture Technician program 100014.
Author | : Emma Rothschild |
Publisher | : Princeton University Press |
Total Pages | : 464 |
Release | : 2021-01-26 |
Genre | : History |
ISBN | : 0691208174 |
An innovative history of deep social and economic changes in France, told through the story of a single extended family across five generations Marie Aymard was an illiterate widow who lived in the provincial town of Angoulême in southwestern France, a place where seemingly nothing ever happened. Yet, in 1764, she made her fleeting mark on the historical record through two documents: a power of attorney in connection with the property of her late husband, a carpenter on the island of Grenada, and a prenuptial contract for her daughter, signed by eighty-three people in Angoulême. Who was Marie Aymard? Who were all these people? And why were they together on a dark afternoon in December 1764? Beginning with these questions, An Infinite History offers a panoramic look at an extended family over five generations. Through ninety-eight connected stories about inquisitive, sociable individuals, ending with Marie Aymard’s great-great granddaughter in 1906, Emma Rothschild unfurls an innovative modern history of social and family networks, emigration, immobility, the French Revolution, and the transformation of nineteenth-century economic life. Rothschild spins a vast narrative resembling a period novel, one that looks at a large, obscure family, of whom almost no private letters survive, whose members traveled to Syria, Mexico, and Tahiti, and whose destinies were profoundly unequal, from a seamstress living in poverty in Paris to her third cousin, the cardinal of Algiers. Rothschild not only draws on discoveries in local archives but also uses new technologies, including the visualization of social networks, large-scale searches, and groundbreaking methods of genealogical research. An Infinite History demonstrates how the ordinary lives of one family over three centuries can constitute a remarkable record of deep social and economic changes.
Author | : John Stillwell |
Publisher | : CRC Press |
Total Pages | : 202 |
Release | : 2010-07-13 |
Genre | : Mathematics |
ISBN | : 1439865507 |
Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is h
Author | : Judith Veronica Field |
Publisher | : Oxford University Press, USA |
Total Pages | : 264 |
Release | : 1997 |
Genre | : Art |
ISBN | : 0198523947 |
Fully illustrated, this story brings together the histories of arts and mathematics and shows how infinity at last acquired a precise mathematical meaning.