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A Brief History Of Infinity
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Book Synopsis A Brief History of Infinity by : Brian Clegg
Download or read book A Brief History of Infinity written by Brian Clegg and published by Robinson. This book was released on 2013-02-07 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: '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.
Book Synopsis A Brief History of Infinity by : Paolo Zellini
Download or read book A Brief History of Infinity written by Paolo Zellini and published by Penguin Global. This book was released on 2005 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Naming Infinity written by Loren Graham and published by Harvard University Press. This book was released on 2009-03-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Beginning of Infinity by : David Deutsch
Download or read book The Beginning of Infinity written by David Deutsch and published by Penguin UK. This book was released on 2011-03-31 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: '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
Book Synopsis Achilles in the Quantum Universe by : Richard Morris
Download or read book Achilles in the Quantum Universe written by Richard Morris and published by Macmillan. This book was released on 1997 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses how philosophers, logicians, mathematicians, and scientists throughout history have attempted to define infinity, and how each attempt has driven the advancement of physics and mathematics, including the development of relativity and quantum mechanics.
Book Synopsis The Invention of Infinity by : Judith Veronica Field
Download or read book The Invention of Infinity written by Judith Veronica Field and published by Oxford University Press, USA. This book was released on 1997 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fully illustrated, this story brings together the histories of arts and mathematics and shows how infinity at last acquired a precise mathematical meaning.
Book Synopsis Infinity by : Lillian Rosanoff Lieber
Download or read book Infinity written by Lillian Rosanoff Lieber and published by . This book was released on 1966 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Logic of Infinity by : Barnaby Sheppard
Download or read book The Logic of Infinity written by Barnaby Sheppard and published by Cambridge University Press. This book was released on 2014-07-24 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book conveys to the novice the big ideas in the rigorous mathematical theory of infinite sets.
Book Synopsis Roads to Infinity by : John Stillwell
Download or read book Roads to Infinity written by John Stillwell and published by CRC Press. This book was released on 2010-07-13 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The Man Who Knew Infinity by : Robert Kanigel
Download or read book The Man Who Knew Infinity written by Robert Kanigel and published by Simon and Schuster. This book was released on 2016-04-26 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: A biography of the Indian mathematician Srinivasa Ramanujan. The book gives a detailed account of his upbringing in India, his mathematical achievements, and his mathematical collaboration with English mathematician G. H. Hardy. The book also reviews the life of Hardy and the academic culture of Cambridge University during the early twentieth century.
Book Synopsis The Mathematics of Infinity by : Theodore G. Faticoni
Download or read book The Mathematics of Infinity written by Theodore G. Faticoni and published by John Wiley & Sons. This book was released on 2012-04-23 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world. With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics: Logic, sets, and functions Prime numbers Counting infinite sets Well ordered sets Infinite cardinals Logic and meta-mathematics Inductions and numbers Presenting an intriguing account of the notions of infinity, The Mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.
Book Synopsis Everything and More: A Compact History of Infinity by : David Foster Wallace
Download or read book Everything and More: A Compact History of Infinity written by David Foster Wallace and published by W. W. Norton & Company. This book was released on 2010-09-21 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The period from the 5th to the 7th century AD was characterised by far-reaching structural changes that affected the entire west of the Roman Empire. This process used to be regarded by scholars aspart of the dissolution of Roman order, but in current discussions it is nowexamined more critically. The contributions to this volume of conference papers combine approaches from history and literature studies in order to review the changing forms and fields of the establishment of collective identities, and to analyse them in their mutual relationships.
Book Synopsis Infinity and the Mind by : Rudy Rucker
Download or read book Infinity and the Mind written by Rudy Rucker and published by Bantam Books. This book was released on 1983-01-01 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains popular expositions (accessible to readers with no more than a high school mathematics background) on the mathematical theory of infinity, and a number of related topics. These include G?del's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt G?del.An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity."
Book Synopsis From 0 to Infinity in 26 Centuries by : Chris Waring
Download or read book From 0 to Infinity in 26 Centuries written by Chris Waring and published by Michael O'Mara Books. This book was released on 2012-09-06 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ...
Book Synopsis Infinity of Nations by : National Museum of the American Indian
Download or read book Infinity of Nations written by National Museum of the American Indian and published by Harper Collins. This book was released on 2010-10-12 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The National Museum of the American Indian is one of the world's great conservators of cultural heritage, and its collections hold more than 800,000 objects spanning 13,000 years of history of the Native peoples of the Western Hemisphere, from Tierra del Fuego in the south to the Arctic in the north. Drawing on new insights from archaeology, history, and art history, Infinity of Nations uses culturally, historically, and aesthetically significant objects as a point of entry to understanding the people who created them. Following an introduction on the power of objects to engage our imagination, each chapter presents an overview of a region of the Americas and its cultural complexities, written by a noted specialist on that region. Community knowledge-keepers and an impressive new generation of Native scholars contribute highlights on objects that represent important ideas or that capture moments of social change. Together these writers create an extraordinary mosaic. What emerges is a portrait of a complex and dynamic world shaped from its earliest history by contact and exchange among peoples. Illustrated with more than 200 strikingly beautiful photographs published here for the first time, Infinity of Nations opens new avenues that extend well beyond those of conventional cultural studies. Authoritative and accessible, here is an important resource for anyone interested in learning about Native cultures of the Americas.
Book Synopsis The Great Mathematical Problems by : Ian Stewart
Download or read book The Great Mathematical Problems written by Ian Stewart and published by Profile Books. This book was released on 2013-03-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numbers and Infinity by : E. H. Sondheimer
Download or read book Numbers and Infinity written by E. H. Sondheimer and published by Courier Corporation. This book was released on 2006-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fresh overview of numbers and infinity avoids tedium and controversy while maintaining historical accuracy and modern relevance. Perfect for undergraduate mathematics or science history courses. 1981 edition.
