The Infinite Book: A Short Guide to the Boundless, Timeless and Endless (Google eBook)For a thousand years, infinity has proven to be a difficult and illuminating challenge for mathematicians and theologians. It certainly is the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Is matter infinitely divisible into eversmaller pieces? But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the Universe. Now Infinity is the darling of cutting edge research, the measuring stick used by physicists, cosmologists, and mathematicians to determine the accuracy of their theories. From the paradox of Zeno’s arrow to string theory, Cambridge professor John Barrow takes us on a grand tour of this most elusive of ideas and describes with clarifying subtlety how this subject has shaped, and continues to shape, our very sense of the world in which we live. The Infinite Book is a thoroughly entertaining and completely accessible account of the biggest subject of them all–infinity. From the Trade Paperback edition. 
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Review: The Infinite Book: A Short Guide to the Boundless, Timeless and Endless
User Review  Anish  GoodreadsPopular form of Math book. Read full review
Review: The Infinite Book: A Short Guide to the Boundless, Timeless and Endless
User Review  Trever  GoodreadsReally like the book, great history and anthology of infinity. I could have done without all of the philosophy and astronomy, I was looking for more of a mathematical book. Great book in all. Read full review
Contents
chapter two Infinity Almost and Actual Fictitious and Factual  
chapter three Welcome to the Hotel Infinity  
Common terms and phrases
accelerating actual infinities argued argument Aristotle Aristotle’s astronomical become believe Big Crunch bigger black hole bubble C.S. Lewis Cantor centre complete constants of Nature contain cosmic cosmological cosmologists countable create curved dark matter decimal Earth Einstein’s theory energy eternal eventually everything example exist expansion Figure finite future galaxies geometry Georg Cantor God’s gravity guest happen helium4 horizon Hotel Hotel Infinity human idea imagine infinite number infinite Universe infinity machine inflation inflationary universe J.D. Barrow Kronecker laws of Nature Leopold Kronecker living forever look Luca Ronconi mathematicians mathematics means Mixmaster Universe motion move never neverending Newton’s observations particles philosopher physical infinities physicists planets possible predictions problem properties radiation sequence simple simulated realities singularity space speed of light stars supertasks surface Theory of Everything things topology Universe’s University Press visible Universe whole numbers Zeno’s zero