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Author : Roger Penrose
Publisher :
ISBN 13 : 9780224080378
Total Pages : pages
Book Rating : 4.0/5 (83 download)
Download or read book Eschermatics written by Roger Penrose and published by . This book was released on 2009-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger Penrose
Publisher : Princeton University Press
ISBN 13 : 1400880289
Total Pages : 520 pages
Book Rating : 4.4/5 (8 download)
Download or read book Fashion, Faith, and Fantasy in the New Physics of the Universe written by Roger Penrose and published by Princeton University Press. This book was released on 2016-09-13 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the world's leading physicists questions some of the most fashionable ideas in physics today, including string theory What can fashionable ideas, blind faith, or pure fantasy possibly have to do with the scientific quest to understand the universe? Surely, theoretical physicists are immune to mere trends, dogmatic beliefs, or flights of fancy? In fact, acclaimed physicist and bestselling author Roger Penrose argues that researchers working at the extreme frontiers of physics are just as susceptible to these forces as anyone else. In this provocative book, he argues that fashion, faith, and fantasy, while sometimes productive and even essential in physics, may be leading today's researchers astray in three of the field's most important areas—string theory, quantum mechanics, and cosmology. Arguing that string theory has veered away from physical reality by positing six extra hidden dimensions, Penrose cautions that the fashionable nature of a theory can cloud our judgment of its plausibility. In the case of quantum mechanics, its stunning success in explaining the atomic universe has led to an uncritical faith that it must also apply to reasonably massive objects, and Penrose responds by suggesting possible changes in quantum theory. Turning to cosmology, he argues that most of the current fantastical ideas about the origins of the universe cannot be true, but that an even wilder reality may lie behind them. Finally, Penrose describes how fashion, faith, and fantasy have ironically also shaped his own work, from twistor theory, a possible alternative to string theory that is beginning to acquire a fashionable status, to "conformal cyclic cosmology," an idea so fantastic that it could be called "conformal crazy cosmology." The result is an important critique of some of the most significant developments in physics today from one of its most eminent figures.
Author : Allan McRobie
Publisher : Princeton University Press
ISBN 13 : 0691175330
Total Pages : 168 pages
Book Rating : 4.6/5 (911 download)
Download or read book The Seduction of Curves written by Allan McRobie and published by Princeton University Press. This book was released on 2017-09-19 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this large-format book, lavishly illustrated in color throughout, Allan McRobie takes the reader on an alluring exploration of the beautiful curves that shape our world--from our bodies to Salvador Dalí's paintings and the space-time fabric of the universe itself. The book focuses on seven curves--the fold, cusp, swallowtail, and butterfly, plus the hyperbolic, elliptical, and parabolic "umbilics"--and describes the surprising origins of their taxonomy in the catastrophe theory of mathematician René Thom.
Author : Robin Wilson
Publisher : Oxford University Press
ISBN 13 : 0192514067
Total Pages : 200 pages
Book Rating : 4.1/5 (925 download)
Download or read book Euler's Pioneering Equation written by Robin Wilson and published by Oxford University Press. This book was released on 2018-02-22 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a 'score for beauty'. While there were many worthy competitors, the winner was 'Euler's equation'. In 2004 Physics World carried out a similar poll of 'greatest equations', and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as "like a Shakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence". What is it that makes Euler's identity, eiπ + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a major development in mathematics, and opened up the idea of negative numbers; π an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Following a chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula.
Author : Frank Harary
Publisher : Courier Dover Publications
ISBN 13 : 0486796841
Total Pages : 129 pages
Book Rating : 4.4/5 (867 download)
Download or read book A Seminar on Graph Theory written by Frank Harary and published by Courier Dover Publications. This book was released on 2015-07-15 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures given in F. Harary's seminar course, University College of London, Dept. of Mathematics, 1962-1963.
Author : Sean Carroll
Publisher : Penguin
ISBN 13 : 0593186583
Total Pages : 305 pages
Book Rating : 4.5/5 (931 download)
Download or read book The Biggest Ideas in the Universe written by Sean Carroll and published by Penguin. This book was released on 2022-09-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.
Author : Hannah Fry
Publisher : Simon and Schuster
ISBN 13 : 1476784884
Total Pages : 128 pages
Book Rating : 4.4/5 (767 download)
Download or read book The Mathematics of Love written by Hannah Fry and published by Simon and Schuster. This book was released on 2015-02-03 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uses math as a tool for explaining the complicated patterns of love, tackling such common questions as the chance of finding love that will last, how online dating works, and when to compromise.
Author : David H. Steel
Publisher :
ISBN 13 : 9780882599045
Total Pages : pages
Book Rating : 4.5/5 (99 download)
Download or read book The Worlds of M.C. Escher written by David H. Steel and published by . This book was released on 2015-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marcus Du Sautoy
Publisher : Fourth Estate
ISBN 13 : 9780007576661
Total Pages : 0 pages
Book Rating : 4.5/5 (766 download)
Download or read book What We Cannot Know written by Marcus Du Sautoy and published by Fourth Estate. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Britain's most famous mathematician takes us to the edge of knowledge to show us what we cannot know. Is the universe infinite? Do we know what happened before the Big Bang? Where is human consciousness located in the brain? And are there more undiscovered particles out there, beyond the Higgs boson? In the modern world, science is king: weekly headlines proclaim the latest scientific breakthroughs and numerous mathematical problems, once indecipherable, have now been solved. But are there limits to what we can discover about our physical universe? In this very personal journey to the edges of knowledge, Marcus du Sautoy investigates how leading experts in fields from quantum physics and cosmology, to sensory perception and neuroscience, have articulated the current lie of the land. In doing so, he travels to the very boundaries of understanding, questioning contradictory stories and consulting cutting edge data. Is it possible that we will one day know everything? Or are there fields of research that will always lie beyond the bounds of human comprehension? And if so, how do we cope with living in a universe where there are things that will forever transcend our understanding? In What We Cannot Know, Marcus du Sautoy leads us on a thought-provoking expedition to the furthest reaches of modern science. Prepare to be taken to the edge of knowledge to find out if there's anything we truly cannot know.
Author : Barbara Ryden
Publisher : Cambridge University Press
ISBN 13 : 1107154839
Total Pages : 277 pages
Book Rating : 4.1/5 (71 download)
Download or read book Introduction to Cosmology written by Barbara Ryden and published by Cambridge University Press. This book was released on 2017 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: A substantial update of this award-winning and highly regarded cosmology textbook, for advanced undergraduates in physics and astronomy.
Author : Ian Naismith Sneddon
Publisher :
ISBN 13 :
Total Pages : 327 pages
Book Rating : 4.:/5 (11 download)
Download or read book Elements of Partial Differential Equations written by Ian Naismith Sneddon and published by . This book was released on 1986 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger Penrose
Publisher : Cambridge University Press
ISBN 13 : 9780521347860
Total Pages : 516 pages
Book Rating : 4.3/5 (478 download)
Download or read book Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry written by Roger Penrose and published by Cambridge University Press. This book was released on 1984 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.
Author : Roger Penrose
Publisher : Cambridge University Press
ISBN 13 : 9780521785723
Total Pages : 228 pages
Book Rating : 4.7/5 (857 download)
Download or read book The Large, the Small and the Human Mind written by Roger Penrose and published by Cambridge University Press. This book was released on 2000-04-28 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author of the provocative works The Emperor's New Mind and Shadows of the Mind now presents a masterful summary of the complex ideas presented in those books, highlighting areas of research where he perceives there are major unsolved problems that strike at the heart of our understanding of the laws of physics. Illustrated with cartoons & diagrams. 3 tables. Copyright © Libri GmbH. All rights reserved.
Author : Hannah Fry
Publisher : Black Swan Books, Limited
ISBN 13 : 9781784163068
Total Pages : 0 pages
Book Rating : 4.1/5 (63 download)
Download or read book Hello World written by Hannah Fry and published by Black Swan Books, Limited. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: _______________ 'One of the best books yet written on data and algorithms. . .deserves a place on the bestseller charts.' (The Times) You are accused of a crime. Who would you rather determined your fate - a human or an algorithm? An algorithm is more consistent and less prone to error of judgement. Yet a human can look you in the eye before passing sentence. Welcome to the age of the algorithm, the story of a not-too-distant future where machines rule supreme, making important decisions - in healthcare, transport, finance, security, what we watch, where we go even who we send to prison. So how much should we rely on them? What kind of future do we want? Hannah Fry takes us on a tour of the good, the bad and the downright ugly of the algorithms that surround us. In Hello World she lifts the lid on their inner workings, demonstrates their power, exposes their limitations, and examines whether they really are an improvement on the humans they are replacing. A BBC RADIO 4- BOOK OF THE WEEK SHORTLISTED FOR THE 2018 BAILLIE GIFFORD PRIZE AND 2018 ROYAL SOCIETY SCIENCE BOOK PRIZE
Author : Roger Penrose
Publisher : Vintage
ISBN 13 : 0307596745
Total Pages : 307 pages
Book Rating : 4.3/5 (75 download)
Download or read book Cycles of Time written by Roger Penrose and published by Vintage. This book was released on 2011-09-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Nobel prize-winner Roger Penrose, this groundbreaking book is for anyone "who is interested in the world, how it works, and how it got here" (New York Journal of Books). Penrose presents a new perspective on three of cosmology’s essential questions: What came before the Big Bang? What is the source of order in our universe? And what cosmic future awaits us? He shows how the expected fate of our ever-accelerating and expanding universe—heat death or ultimate entropy—can actually be reinterpreted as the conditions that will begin a new “Big Bang.” He details the basic principles beneath our universe, explaining various standard and non-standard cosmological models, the fundamental role of the cosmic microwave background, the paramount significance of black holes, and other basic building blocks of contemporary physics. Intellectually thrilling and widely accessible, Cycles of Time is a welcome new contribution to our understanding of the universe from one of our greatest mathematicians and thinkers.
Author : John Fauvel
Publisher : Oxford University Press, USA
ISBN 13 : 9780199298938
Total Pages : 208 pages
Book Rating : 4.2/5 (989 download)
Download or read book Music and Mathematics written by John Fauvel and published by Oxford University Press, USA. This book was released on 2006 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: From ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This work links these two subjects in a manner that is suitable for students of both subjects, as well as the general reader with an interest in music.
Author : Michael Fitzgerald
Publisher : Johns Hopkins University Press+ORM
ISBN 13 : 0801896894
Total Pages : 289 pages
Book Rating : 4.8/5 (18 download)
Download or read book The Mind of the Mathematician written by Michael Fitzgerald and published by Johns Hopkins University Press+ORM. This book was released on 2007-07-16 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intriguing look at the psychology and personality of mathematicians, with profiles of twenty prominent figures in the field. What makes mathematicians tick? How do their minds process formulas and concepts that, for most of the rest of the world’s population, remain mysterious and beyond comprehension? Is there a connection between mathematical creativity and mental illness? In The Mind of the Mathematician, internationally famous mathematician Ioan James and accomplished psychiatrist Michael Fitzgerald look at the complex world of mathematics and the mind. Together they explore the behavior and personality traits that tend to fit the profile of a mathematician. They discuss mathematics and the arts, savants, gender and mathematical ability, and the impact of autism, personality disorders, and mood disorders. These topics, together with a succinct analysis of some of the great mathematical personalities of the past three centuries, combine to form an eclectic and fascinating blend of story and scientific inquiry. “The authors’ careful treatments are an especially welcome addition to a genre riddled with apocryphal anecdotes and shoddy scholarship.” —Nature
