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Beyond Infinity: An expedition to the outer limits of the mathematical universe Main [Pehme köide]

  • Formaat: Paperback / softback, 304 pages, kõrgus x laius x paksus: 216x135x22 mm, kaal: 369 g, charts and diagrams throughout
  • Ilmumisaeg: 09-Mar-2017
  • Kirjastus: Profile Books Ltd
  • ISBN-10: 1781252858
  • ISBN-13: 9781781252857
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  • Formaat: Paperback / softback, 304 pages, kõrgus x laius x paksus: 216x135x22 mm, kaal: 369 g, charts and diagrams throughout
  • Ilmumisaeg: 09-Mar-2017
  • Kirjastus: Profile Books Ltd
  • ISBN-10: 1781252858
  • ISBN-13: 9781781252857
Teised raamatud teemal:
SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE

Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity.

What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough?

Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

Arvustused

Beyond Infinity is witty, charming, and crystal clear. Eugenia Cheng's enthusiasm and carefully chosen metaphors and analogies carry us effortlessly through the mathematical landscape of the infinite. A brilliant book! -- Ian Stewart, author of Calculating the Cosmos Praise for How to Bake Pi: 'It would be wonderful if this book attracted a new audience to the field. And there's no better ambassador (or dinner-party host, I'd wager) than Eugenia Cheng. -- Alex Bellos * New York Times * 'A concert pianist, mathematician, polyglot and now YouTube star, Cheng has carved out quite a niche for herself demystifying maths through cake. It's a Beautiful-Mind-meets-Scott-Pilgrim kind of mission, and Cheng brings to it an ebullient enthusiasm that's infectious * Guardian * The new poster girl for maths * Daily Mail *

Muu info

Short-listed for Royal Society Winton Prize for Science Books 2017 (UK).Inside the weird and wonderful world of infinity, from endless hotels to bottomless cookie-jars
Prologue ix
Part One THE JOURNEY
1 What Is Infinity?
3(9)
2 Playing with Infinity
12(16)
3 What Infinity Is Not
28(11)
4 Infinity Slips Away from Us Again
39(16)
5 Counting Up to Infinity
55(23)
6 Some Things Are More Infinite than Others
78(16)
7 Counting Beyond Infinity
94(14)
8 Comparing Infinities
108(16)
9 What Infinity Is
124(17)
Part Two THE SIGHTS
10 Where Is Infinity?
141(6)
11 Things That Are Nearly Infinity
147(12)
12 Infinite Dimensions
159(20)
13 Infinite-Dimensional Categories
179(18)
14 The Infinitesimally Small
197(14)
15 When Infinity Nearly Caused Mathematics to Fall Apart (and Maybe Also Your Brain)
211(35)
16 Weirdness
246(25)
17 Where Infinity Is
271(8)
Acknowledgements 279(2)
Index 281
Eugenia Cheng is Honorary Fellow in Pure Mathematics at the University of Sheffield and Scientist in Residence at the School of the Art Institute of Chicago. She was educated at the University of Cambridge and did post-doctoral work at the Universities of Cambridge, Chicago and Nice. Since 2007 her YouTube lectures and videos have been viewed over a million times. A concert pianist, she also speaks French, English and Cantonese, and her mission in life is to rid the world of maths phobia. She is the author of How to Bake Pi.