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Author: Jeremy Gray
Publisher: Springer Science & Business Media
ISBN: 0857290606
Category : Mathematics
Languages : en
Pages : 390
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Book Description
Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.
Author: Jeremy Gray
Publisher: Springer Science & Business Media
ISBN: 0857290606
Category : Mathematics
Languages : en
Pages : 390
Get Book Here
Book Description
Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.
Author: Jeremy Gray
Publisher: Princeton University Press
ISBN: 1400829046
Category : Mathematics
Languages : en
Pages : 528
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Book Description
Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve set theory and the revived axiomatic method—debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.
Author: Jim Holt
Publisher: W. W. Norton & Company
ISBN: 0871404095
Category : Philosophy
Languages : en
Pages : 321
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Book Description
In this astonishing and profound work, an irreverent sleuth traces the riddleof existence from the ancient world to modern times.
Author: Jeremy Gray
Publisher: Oxford University Press on Demand
ISBN: 9780198539353
Category : Mathematics
Languages : en
Pages : 242
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Book Description
The history of the development of Euclidean, non-Euclidean, and relativistic ideas of the shape of the universe, is presented in this lively account by Jeremy Gray. The parallel postulate of Euclidean geometry occupies a unique position in the history of mathematics. In this book, Jeremy Gray reviews the failure of classical attempts to prove the postulate and then proceeds to show how the work of Gauss, Lobachevskii, and Bolyai, laid the foundations ofmodern differential geometry, by constructing geometries in which the parallel postulate fails. These investigations in turn enabled the formulation of Einstein's theories of special and general relativity, which today form the basis of our conception of the universe. The author has made every attempt to keep the pre-requisites to a bare minimum. This immensely readable account, contains historical and mathematical material which make it suitable for undergraduate students in the history of science and mathematics. For the second edition, the author has taken the opportunity to update much of the material, and to add a chapter on the emerging story of the Arabic contribution to this fascinating aspect of the history of mathematics.
Author: Stephen E. Ambrose
Publisher: Simon and Schuster
ISBN: 9780743203173
Category : Business & Economics
Languages : en
Pages : 468
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Book Description
The story of the men who build the transcontinental railroad in the 1860's.
![Out Of Nothing [Graphic Novel] PDF](https://books.google.com/books/content/images/frontcover/lhaREAAAQBAJ?fife=w80-h100)
Author: David Blandy
Publisher: National Geographic Books
ISBN: 1910620289
Category : Science
Languages : en
Pages : 0
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Book Description
Spanning millennia, Daniel Locke's ambitious graphic novel explores humanity's inherent 'dreaming mind and its impact on our world. Surreal sequences take us from Gutenberg's printing press to Tim Berners-Lee's World Wide Web via Picasso, Einstein, Grandmaster Flash and more. Locke shows hour our basic instinct to observe, record and connect has formed the basis for all human invention and progress.
Author: Lawrence Maxwell Krauss
Publisher: Simon and Schuster
ISBN: 145162445X
Category : Science
Languages : en
Pages : 226
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Book Description
This is a provocative account of the astounding new answers to the most basic philosophical question: Where did the universe come from and how will it end?
Author: Jenny Odell
Publisher: Melville House
ISBN: 1612197507
Category : Technology & Engineering
Languages : en
Pages : 257
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Book Description
** A New York Times Bestseller ** NAMED ONE OF THE BEST BOOKS OF THE YEAR BY: Time • The New Yorker • NPR • GQ • Elle • Vulture • Fortune • Boing Boing • The Irish Times • The New York Public Library • The Brooklyn Public Library "A complex, smart and ambitious book that at first reads like a self-help manual, then blossoms into a wide-ranging political manifesto."—Jonah Engel Bromwich, The New York Times Book Review One of President Barack Obama's "Favorite Books of 2019" Porchlight's Personal Development & Human Behavior Book of the Year In a world where addictive technology is designed to buy and sell our attention, and our value is determined by our 24/7 data productivity, it can seem impossible to escape. But in this inspiring field guide to dropping out of the attention economy, artist and critic Jenny Odell shows us how we can still win back our lives. Odell sees our attention as the most precious—and overdrawn—resource we have. And we must actively and continuously choose how we use it. We might not spend it on things that capitalism has deemed important … but once we can start paying a new kind of attention, she writes, we can undertake bolder forms of political action, reimagine humankind’s role in the environment, and arrive at more meaningful understandings of happiness and progress. Far from the simple anti-technology screed, or the back-to-nature meditation we read so often, How to do Nothing is an action plan for thinking outside of capitalist narratives of efficiency and techno-determinism. Provocative, timely, and utterly persuasive, this book will change how you see your place in our world.
Author: Justus D. Doenecke
Publisher: University Press of Kentucky
ISBN: 0813130026
Category : History
Languages : en
Pages : 434
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Book Description
When war broke out in Europe in 1914, political leaders in the United States were swayed by popular opinion to remain neutral; yet less than three years later, the nation declared war on Germany. In Nothing Less Than War: A New History of America's Entry into World War I, Justus D. Doenecke examines the clash of opinions over the war during this transformative period and offers a fresh perspective on America's decision to enter World War I. Doenecke reappraises the public and private diplomacy of President Woodrow Wilson and his closest advisors and explores in great depth the response of Congress to the war. He also investigates the debates that raged in the popular media and among citizen groups that sprang up across the country as the U.S. economy was threatened by European blockades and as Americans died on ships sunk by German U-boats. The decision to engage in battle ultimately belonged to Wilson, but as Doenecke demonstrates, Wilson's choice was not made in isolation. Nothing Less Than War provides a comprehensive examination of America's internal political climate and its changing international role during the seminal period of 1914--1917.
Author: Marco Simionato
Publisher: BoD – Books on Demand
ISBN: 3868385878
Category : Philosophy
Languages : en
Pages : 218
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Book Description
The philosophical question of nothingness has often been controversial. The main core of the question is the use of ‘nothing’ or ‘nothingness’ as a noun phrase rather than a quantifier phrase. This work deals with the question of nothingness and metaphysical nihilism in analytic philosophy. After evaluating an account of nothingness based on the notion of an empty possible world, the present work proposes two original arguments for metaphysical nihilism. With a preface by Graham Priest. “Simionato’s book delivers a welcome deepening of our understanding of nothing.” Graham Priest
