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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: Lawrence M. Krauss
Publisher: Simon and Schuster
ISBN: 1451624476
Category : Science
Languages : en
Pages : 240
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Book Description
Bestselling author and acclaimed physicist Lawrence Krauss offers a paradigm-shifting view of how everything that exists came to be in the first place. “Where did the universe come from? What was there before it? What will the future bring? And finally, why is there something rather than nothing?” One of the few prominent scientists today to have crossed the chasm between science and popular culture, Krauss describes the staggeringly beautiful experimental observations and mind-bending new theories that demonstrate not only can something arise from nothing, something will always arise from nothing. With a new preface about the significance of the discovery of the Higgs particle, A Universe from Nothing uses Krauss’s characteristic wry humor and wonderfully clear explanations to take us back to the beginning of the beginning, presenting the most recent evidence for how our universe evolved—and the implications for how it’s going to end. Provocative, challenging, and delightfully readable, this is a game-changing look at the most basic underpinning of existence and a powerful antidote to outmoded philosophical, religious, and scientific thinking.
![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: 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: 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
Author: John D. Barrow
Publisher: Vintage
ISBN: 0307554813
Category : Science
Languages : en
Pages : 386
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Book Description
What conceptual blind spot kept the ancient Greeks (unlike the Indians and Maya) from developing a concept of zero? Why did St. Augustine equate nothingness with the Devil? What tortuous means did 17th-century scientists employ in their attempts to create a vacuum? And why do contemporary quantum physicists believe that the void is actually seething with subatomic activity? You’ll find the answers in this dizzyingly erudite and elegantly explained book by the English cosmologist John D. Barrow. Ranging through mathematics, theology, philosophy, literature, particle physics, and cosmology, The Book of Nothing explores the enduring hold that vacuity has exercised on the human imagination. Combining high-wire speculation with a wealth of reference that takes in Freddy Mercury and Shakespeare alongside Isaac Newton, Albert Einstein, and Stephen Hawking, the result is a fascinating excursion to the vanishing point of our knowledge.
Author: Martin Burckhardt
Publisher: MIT Press
ISBN: 0262534258
Category : Social Science
Languages : en
Pages : 104
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Book Description
Why 1 = presence and 0 = absence and the digital world formula is x = xn: an exploration of meaning in a universe of infinite replication. In the beginning was the Zero, and the Zero was with God, and God was the One. —All and Nothing In 1854, the British mathematician George Boole presented the idea of a universe the elements of which could be understood in terms of the logic of absence and presence: 0 and 1, all and nothing—the foundation of binary code. The Boolean digits 0 and 1 do not designate a quantity. In the Boolean world, x times x always equals x; all and nothing meet in the formula x = xn. As everything becomes digitized, God the clockmaker is replaced by God the programmer. This book–described by its authors as “a theology for the digital world”—explores meaning in a digital age of infinite replication, in a world that has dissolved into information and achieved immortality by turning into a pure sign. All and Nothing compares information that spreads without restraint to a hydra—the mythological monster that grew two heads for every one that was cut off. Information is thousand-headed and thousand-eyed because Hydra's tracks cannot be deleted. It shows that when we sit in front of a screen, we are actually on the other side, looking at the world as an uncanny reminder of the nondigitized. It compares our personal data to our shadows and our souls, envisioning the subconscious laid out on a digital bier like a corpse. The digital world, the authors explain, summons forth fantasies of a chiliastic or apocalyptic nature. The goal of removing the representative from mathematics has now been achieved on a greater scale than Boole could have imagined.
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: Paul Copan
Publisher: Baker Academic
ISBN: 0801027330
Category : Philosophy
Languages : en
Pages : 288
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Book Description
Addresses the biblical, philosophical, and scientific bases for the doctrine of creation out of nothing, while countering contemporary trends that are assailing this doctrine.
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.
