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Are Numbers Real

Author: Brian Clegg
Publisher: St. Martin's Press
ISBN: 146689296X
Size: 17.14 MB
Format: PDF, ePub, Docs
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Have you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them? Numbers began as simple representations of everyday things, but mathematics rapidly took on a life of its own, occupying a parallel virtual world. In Are Numbers Real?, Brian Clegg explores the way that math has become more and more detached from reality, and yet despite this is driving the development of modern physics. From devising a new counting system based on goats, through the weird and wonderful mathematics of imaginary numbers and infinity, to the debate over whether mathematics has too much influence on the direction of science, this fascinating and accessible book opens the reader’s eyes to the hidden reality of the strange yet familiar entities that are numbers.

Are Numbers Real

Author: Brian Clegg
Publisher: Macmillan
ISBN: 1250081041
Size: 24.89 MB
Format: PDF
View: 3771
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Have you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them? Numbers began as simple representations of everyday things, but mathematics rapidly took on a life of its own, occupying a parallel virtual world. In Are Numbers Real?, Brian Clegg explores the way that math has become more and more detached from reality, and yet despite this is driving the development of modern physics. From devising a new counting system based on goats, through the weird and wonderful mathematics of imaginary numbers and infinity, to the debate over whether mathematics has too much influence on the direction of science, this fascinating and accessible book opens the reader’s eyes to the hidden reality of the strange yet familiar entities that are numbers.

Are Numbers Real

Author: Brian Clegg
Publisher: Hachette UK
ISBN: 1472139771
Size: 13.29 MB
Format: PDF
View: 6591
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Have you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them? Numbers began as simple representations of everyday things, but mathematics rapidly took on a life of its own, occupying a parallel virtual world. In Are Numbers Real? Brian Clegg explores the way that maths has become more and more detached from reality, yet despite this is driving the development of modern physics. From devising a new counting system based on goats, through the weird and wonderful mathematics of imaginary numbers and infinity to the debate over whether mathematics has too much influence on the direction of science, this fascinating and accessible book opens the reader's eyes to the hidden reality of the strange yet familiar world of numbers.

Ten Billion Tomorrows

Author: Brian Clegg
Publisher: St. Martin's Press
ISBN: 1466861924
Size: 28.57 MB
Format: PDF, Docs
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Science fiction is a vital part of popular culture, influencing the way we all look at the world. TV shows like Star Trek and movies from Forbidden Planet to Inception have influenced scientists to enter the profession and have shaped our futures. Science fiction doesn't set out to predict what will happen - it's far more about how human beings react to "What if?..." - but it is fascinating to see how science fiction and reality sometimes converge, sometimes take extraordinarily different paths. Ten Billion Tomorrows brings to life a whole host of science fiction topics, from the virtual environment of The Matrix and the intelligent computer HAL in 2001, to force fields, ray guns and cyborgs. We discover how science fiction has excited us with possibilities, whether it is Star Trek's holodeck inspiring makers of iconic video games Doom and Quake to create the virtual interactive worlds that transformed gaming, or the strange physics that has made real cloaking devices possible. Mixing remarkable science with the imagination of our greatest science fiction writers, Ten Billion Tomorrows will delight science fiction lovers and popular science devotees alike.

Our Mathematical Universe

Author: Max Tegmark
Publisher: Vintage
ISBN: 038535049X
Size: 75.32 MB
Format: PDF, Docs
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Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

A Brief History Of Infinity

Author: Brian Clegg
Publisher: Robinson
ISBN: 1472107640
Size: 78.31 MB
Format: PDF
View: 845
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'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.

Infinity

Author: Michael Heller
Publisher: Cambridge University Press
ISBN: 1139495569
Size: 17.56 MB
Format: PDF, Kindle
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This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.

Dice World

Author: Brian Clegg
Publisher: Icon Books Ltd
ISBN: 1848315643
Size: 22.65 MB
Format: PDF
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LONGLISTED FOR THE 2014 WINTON ROYAL SOCIETY PRIZE FOR SCIENCE BOOKS As troubling as we pattern-seeking humans may find it, modern science has repeatedly shown us that randomness is the underlying heartbeat of nature. In Dice World, acclaimed science writer Brian Clegg takes readers on an incredible trip around our random universe, uncovering the truths and lies behind probability and statistics, explaining how chaotic intervention is behind every great success in business, and demonstrating the possibilities quantum mechanics has given us for creating unbreakable ciphers and undergoing teleportation. He explores how the ‘clockwork universe’ imagined by Newton, in which everything could be predicted given enough data, was disproved bit by bit, to be supplanted by chaos theory and quantum physics. Clegg reveals a world in which not only is accurate forecasting often impossible but probability is the only way for us to understand the fundamental nature of things. Forget the clockwork universe. Welcome to Dice World, a unique portrait of a startlingly complex cosmos, from the bizarre microscopic world of the quantum to the unfathomable mechanics of planetary movements, where very little is as it seems...

The Reality Frame

Author: Brian Clegg
Publisher: Icon Books
ISBN: 1785782142
Size: 68.19 MB
Format: PDF
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Weaving together the great ideas of science, The Reality Frame takes us on a thrilling journey from empty space all the way to the human mind. Acclaimed science writer Brian Clegg builds up reality piece by piece, from space, to time, to matter, movement, the fundamental forces, life, and the massive transformation that life itself has wrought on the natural world. He reveals that underlying it all is not, as we might believe, a system of immovable absolutes, but the ever-shifting, amorphous world of relativity. From religion to philosophy, humanity has traditionally sought out absolutes to explain the world around us, but as science has developed, relativity has swept away many of these certainties, leaving only a handful of unchangeable essentials – such as absolute zero, nothingness, light – leading to better science and a new understanding of the essence of being human. This is an Ascent of Man for the 21st century, the gripping story of modern science that will fill you with wonder and give you a new insight into our place in the universe.

Beautiful Simple Exact Crazy

Author: Apoorva Khare
Publisher: Yale University Press
ISBN: 0300190891
Size: 26.73 MB
Format: PDF, Kindle
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In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are similar to knights serving as messengers for their traveling prince. Ideal for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska s enlightening mathematics tour will appeal to a wide audience."