The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden Dimensions

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More About This Book

Overview

String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe.

Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.

Editorial Reviews

Publishers Weekly
The invisible shape of space can be revealed via "the sheer force of mathematics.... the surest path to the truth." What it reveals is the Calabi-Yau manifolds, or surfaces, discovered by feted Harvard mathematician Yau in his work on a concept called the Calabi conjecture. With the help of Astronomy magazine contributing editor Nadis, Yau relates the saga of this groundbreaking work, which provided the foundations of string theory. Yau confidently draws readers into a realm of abstract concepts, from multiple dimensions to the exotic spaces called "manifolds," or Calabi-Yau spaces, whose curvature gives space its shape. From here it's a hop, skip, and a jump to the geometry of space around the Big Bang, black holes, and the end of the universe. The authors labor diligently to explain the advanced mathematics behind these abstract ideas, but readers without any grounding in college-level math will be lost. For those who can follow it, this book demonstrates how mysterious physical constructs like space and gravity can yield to the "hammer of geometric analysis." B&w illus. (Sept.)

Product Details

  • ISBN-13: 9780465028375
  • Publisher: Basic Books
  • Publication date: 3/6/2012
  • Edition description: First Trade Paper Edition
  • Pages: 400
  • Sales rank: 566,701
  • Product dimensions: 6.10 (w) x 9.10 (h) x 1.30 (d)

Meet the Author

Shing-Tung Yau has been a professor of mathematics at Harvard since 1987 and is the current department Chair. Yau has won many awards over the course of his career, including the Fields Medal, the National Medal of Science, a MacArthur Fellowship, the Crafoord Prize, the Veblen Prize, and the California Scientist of the Year. In 1993, he was elected to the National Academy of Sciences. He has published more than 250 articles and written and edited more than 20 books. A highly sought-after lecturer, Yau is frequently interviewed for radio, TV, and print media stories. He lives in Cambridge, Massachusetts.

Steve Nadis is a Contributing Editor to Astronomy Magazine. He has published articles in Nature, Science, Scientific American, New Scientist, Sky&Telescope, The Atlantic Monthly, and others. He has written or contributed to more than two dozen books. A former staff researcher for the Union of Concerned Scientists, Nadis has also been a research fellow at MIT and a consultant to the World Resources Institute, the Woods Hole Oceanographic Institution, and WGBH/NOVA. He lives in Cambridge, Massachusetts.

Customer Reviews

Average Rating 4
( 11 )

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Sort by: Showing all of 11 Customer Reviews

  • Posted October 1, 2010

    Highly Recommended

    This book is not only unique for elegantly explaining complicated concepts of geometry, and its `DNA' imprint on physics via string theory, but it is said from the vantage point of the world renowned geometer who has played a major role in all
    these developments. Through
    the collaboration of the two authors, the book is very down to earth and has
    a style which not only explains how different ideas have unfolded in the past
    couple of decades, but how beautifully natural they all fit with one another.
    Black holes, curved space, topology and a human struggle to understand the inner
    workings of nature through beautiful mathematical reasoning shines very clearly
    through the book and provides the reader with a front row seat for an exciting
    journey into the interaction of modern physics and mathematics. I strongly recommend this book to all those interested in seeing the power of elegant mathematics
    applied to the most enigmatic questions in modern physics.

    1 out of 1 people found this review helpful.

    Was this review helpful? Yes  NoThank you for your feedback.   Report this reviewThank you, this review has been flagged.

  • Posted September 14, 2010

    A true gem of popular science!

    Written by one of the world mathematical leaders, together with a science journalist, this books will take you through some of the deepest mathematical and physical discoveries of the past forty years with an unbelievable clarity and a compelling geometric vision. One of the main themes of the book is the link between physical theories for the fundamental forces of nature and the geometry of space. For example, one of the main features of string theory is that our space-time has 6 extra dimensions which are very small and undetectable by the naked eye, and that these 6 dimensions are curled up into a geometric space called a Calabi-Yau space (in honor of the mathematician Calabi who conjectured the existence of these spaces, and of Yau himself who rigorously proved they existed). This unique book, which is written partly as Yau's autobiography, makes all these concept seem easy and natural, and kept me very much engaged throughout the whole reading. Overall a book I will recommend to everyone who has just the slightest curiosity about how our universe and what its underlying structure is, no mathematical background is assumed!

    1 out of 1 people found this review helpful.

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  • Anonymous

    Posted December 6, 2011

    a good book for lay people

    some math knowledge need for some of the terms. but a geat book for novices.

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  • Anonymous

    Posted December 6, 2011

    "Indicates topic well"

    I read this book to learn more about string theory. It was very informative, but string theory itself is a difficult concept to grasp. That is why the book can be difficult to read at times.

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  • Posted October 19, 2010

    Highly Recommended- you must check it out

    A journey into mathematics and physics, a fascinating adventure even for laymen like me.

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    Posted July 3, 2011

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    Posted December 15, 2010

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    Posted May 7, 2011

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    Posted October 18, 2010

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    Posted January 28, 2011

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    Posted April 7, 2011

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