God Created the Integers

The Mathematical Breakthroughs that Changed History
Author: Stephen Hawking
Publisher: Running Press
ISBN: 0762430044
Category: Mathematics
Page: 1358
View: 3290
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Looks at landmark mathematical discoveries over the past 2,500 years by such mathematicians as Euclid, Isaac Newton, Pierre Simon de Laplace, Georg Cantor, Alan Turing, and others, offering profiles of twenty-one important mathematical masters, facsimiles of their key works, and commentary on their contributions to the history of mathematics. Original.

The Dreams That Stuff Is Made Of

The Most Astounding Papers of Quantum Physics--and How They Shook the Scientific World
Author: Stephen Hawking
Publisher: Running Press
ISBN: 076244374X
Category: Science
Page: 1176
View: 5813
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“God does not play dice with the universe.” So said Albert Einstein in response to the first discoveries that launched quantum physics, as they suggested a random universe that seemed to violate the laws of common sense. This 20th-century scientific revolution completely shattered Newtonian laws, inciting a crisis of thought that challenged scientists to think differently about matter and subatomic particles. The Dreams That Stuff Is Made Of compiles the essential works from the scientists who sparked the paradigm shift that changed the face of physics forever, pushing our understanding of the universe on to an entirely new level of comprehension. Gathered in this anthology is the scholarship that shocked and befuddled the scientific world, including works by Niels Bohr, Max Planck, Werner Heisenberg, Max Born, Erwin Schrodinger, J. Robert Oppenheimer, Richard Feynman, as well as an introduction by today's most celebrated scientist, Stephen Hawking.

God and the Mathematics of Infinity

What Irreducible Mathematics Says about Godhood
Author: H. Chris Ransford
Publisher: Columbia University Press
ISBN: 3838270193
Category: Religion
Page: 152
View: 6310
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Drawing on the science and mathematics of infinity, H. Chris Ransford analyzes the traditional concept of godhood and reaches surprising conclusions. He addresses humankind's abiding core debate on the meaning of spirituality and God. Using mathematics, he explores key questions within this debate: for instance, why does evil exist if there is a God? The book fastidiously does not take sides nor proffers opinions, it only follows allowable mathematics wherever it leads. By doing so, it makes a major contribution to an understanding of the nature of reality.

Contributions to the Founding of the Theory of Transfinite Numbers


Author: Georg Cantor
Publisher: N.A
ISBN: N.A
Category: Number theory
Page: 211
View: 4749
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A Stubbornly Persistent Illusion

The Essential Scientific Works of Albert Einstein
Author: Stephen Hawking
Publisher: Running Press
ISBN: 076243922X
Category: Science
Page: 480
View: 360
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With commentary by the greatest physicist of our time, Stephen Hawking, this anthology has garnered impressive reviews. PW has called it “a gem of a collection” while New Scientist magazine notes the “thrill of reading Einstein's own words.” From the writings that revealed the famous Theory of Relativity, to other papers that shook the scientific world of the 20th century, A Stubbornly Persistent Illusion belongs in every science fan's library.

Black Holes: The Reith Lectures


Author: Stephen Hawking
Publisher: Random House
ISBN: 1473541980
Category: Science
Page: 80
View: 9839
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“It is said that fact is sometimes stranger than fiction, and nowhere is that more true than in the case of black holes. Black holes are stranger than anything dreamed up by science fiction writers.” In 2016 Professor Stephen Hawking delivered the BBC Reith Lectures on a subject that has fascinated him for decades – black holes. In these flagship lectures the legendary physicist argues that if we could only understand black holes and how they challenge the very nature of space and time, we could unlock the secrets of the universe.

The Large Scale Structure of Space-Time


Author: S. W. Hawking,G. F. R. Ellis
Publisher: Cambridge University Press
ISBN: 1139810952
Category: Science
Page: N.A
View: 8241
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Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

Black Holes and Baby Universes and Other Essays

And Other Essays
Author: Stephen Hawking
Publisher: Bantam
ISBN: 0307790452
Category: Science
Page: 192
View: 6901
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NEW YORK TIMES BESTSELLER THIRTEEN EXTRAORDINARY ESSAYS SHED NEW LIGHT ON THE MYSTERIES OF THE UNIVERSE—AND ON ONE OF THE MOST BRILLIANT THINKERS OF OUR TIME. In his phenomenal bestseller A Brief History of Time, Stephen Hawking literally transformed the way we think about physics, the universe, reality itself. In these thirteen essays and one remarkable extended interview, the man widely regarded as the most brilliant theoretical physicist since Einstein returns to reveal an amazing array of possibilities for understanding our universe. Building on his earlier work, Hawking discusses imaginary time, how black holes can give birth to baby universes, and scientists’ efforts to find a complete unified theory that would predict everything in the universe. With his characteristic mastery of language, his sense of humor and commitment to plain speaking, Stephen Hawking invites us to know him better—and to share his passion for the voyage of intellect and imagination that has opened new ways to understanding the very nature of the cosmos. From the Trade Paperback edition.

A Briefer History of Time


Author: Stephen Hawking,Leonard Mlodinow
Publisher: Bantam
ISBN: 0553385461
Category: Science
Page: 162
View: 6779
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A shorter, more accessible edition of a now-classic survey of the origin and nature of the universe features new full-color illustrations and an expanded, easier to understand treatment of the volume's more important theoretical concepts.

Journey through genius

the great theorems of mathematics
Author: William Dunham
Publisher: Egully.com
ISBN: N.A
Category: Mathematics
Page: 300
View: 7517
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A rare combination of the historical, biographical, and mathematicalgenius, this book is a fascinating introduction to a neglected field of human creativity. Dunham places mathematical theorem, along with masterpieces of art, music, and literature and gives them the attention they deserve.

My Brief History


Author: Stephen Hawking
Publisher: Bantam
ISBN: 0345539133
Category: Science
Page: 144
View: 1641
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NATIONAL BESTSELLER Stephen Hawking has dazzled readers worldwide with a string of bestsellers exploring the mysteries of the universe. Now, for the first time, perhaps the most brilliant cosmologist of our age turns his gaze inward for a revealing look at his own life and intellectual evolution. My Brief History recounts Stephen Hawking’s improbable journey, from his postwar London boyhood to his years of international acclaim and celebrity. Lavishly illustrated with rarely seen photographs, this concise, witty, and candid account introduces readers to a Hawking rarely glimpsed in previous books: the inquisitive schoolboy whose classmates nicknamed him Einstein; the jokester who once placed a bet with a colleague over the existence of a particular black hole; and the young husband and father struggling to gain a foothold in the world of physics and cosmology. Writing with characteristic humility and humor, Hawking opens up about the challenges that confronted him following his diagnosis of ALS at age twenty-one. Tracing his development as a thinker, he explains how the prospect of an early death urged him onward through numerous intellectual breakthroughs, and talks about the genesis of his masterpiece A Brief History of Time—one of the iconic books of the twentieth century. Clear-eyed, intimate, and wise, My Brief History opens a window for the rest of us into Hawking’s personal cosmos.

The mathematical universe

an alphabetical journey through the great proofs, problems, and personalities
Author: William Dunham
Publisher: Wiley
ISBN: N.A
Category: Mathematics
Page: 314
View: 7262
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Travels through mathematical concepts from Arithmetic to Zero to explore the wonders of the Fibonacci series, Russell's Paradox, and the theory of Pythagorus, in a witty and enthusiastic investigation of the great proofs, conundrums, disputes, and solutions in mathematics today.

A History of the Concept of God

A Process Approach
Author: Daniel A. Dombrowski
Publisher: SUNY Press
ISBN: 1438459378
Category: Religion
Page: 280
View: 6962
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A history of the concept of God through the lens of process thought.

Number Theory and Its History


Author: Oystein Ore
Publisher: Courier Corporation
ISBN: 0486136434
Category: Mathematics
Page: 400
View: 7786
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Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

Differential and Integral Calculus


Author: Richard Courant
Publisher: John Wiley & Sons
ISBN: 1118031490
Category: Mathematics
Page: 640
View: 7432
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On the Shoulders of Giants

The Great Works of Physics and Astronomy
Author: Stephen W. Hawking
Publisher: Penguin Books
ISBN: 9780141015712
Category: Astronomy
Page: 1264
View: 9968
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Stephen Hawking explains how such great men of science as Copernicus, Galileo, Kepler, Newton and Einstein built on the discoveries of those who came before them, and how these works changed the course of science, ushering astronomy and physics out of the Middle Ages and into the modern world.

The Calculus Gallery

Masterpieces from Newton to Lebesgue
Author: William Dunham
Publisher: Princeton University Press
ISBN: 0691184542
Category: Mathematics
Page: N.A
View: 5751
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More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be.

George and the Unbreakable Code


Author: Stephen Hawking,Lucy Hawking
Publisher: Simon and Schuster
ISBN: 1481466275
Category: Juvenile Fiction
Page: 352
View: 6677
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George and Annie must travel further into space than ever before in order to prevent all computers from being hacked.

Secrets of Mental Math

The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
Author: Arthur Benjamin,Michael Shermer
Publisher: Three Rivers Press
ISBN: 9780307347466
Category: Mathematics
Page: 224
View: 342
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These simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.

A Mathematical Nature Walk


Author: John A. Adam
Publisher: Princeton University Press
ISBN: 140083290X
Category: Nature
Page: 264
View: 9694
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How heavy is that cloud? Why can you see farther in rain than in fog? Why are the droplets on that spider web spaced apart so evenly? If you have ever asked questions like these while outdoors, and wondered how you might figure out the answers, this is a book for you. An entertaining and informative collection of fascinating puzzles from the natural world around us, A Mathematical Nature Walk will delight anyone who loves nature or math or both. John Adam presents ninety-six questions about many common natural phenomena--and a few uncommon ones--and then shows how to answer them using mostly basic mathematics. Can you weigh a pumpkin just by carefully looking at it? Why can you see farther in rain than in fog? What causes the variations in the colors of butterfly wings, bird feathers, and oil slicks? And why are large haystacks prone to spontaneous combustion? These are just a few of the questions you'll find inside. Many of the problems are illustrated with photos and drawings, and the book also has answers, a glossary of terms, and a list of some of the patterns found in nature. About a quarter of the questions can be answered with arithmetic, and many of the rest require only precalculus. But regardless of math background, readers will learn from the informal descriptions of the problems and gain a new appreciation of the beauty of nature and the mathematics that lies behind it.