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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.

Sergey Leble· February 3, 2014 at 3:17 pmThe book is very interesting,

Years ago I worked in a direction very closed to yours.

See, for example:

S. Leble, I.A.Terent’ev

Model of Elementary Particles Theory in 6-dimensional Space with Curvature

Theor.Math.Phys

16 (1973) 291

S. Leble

Theory of elementary particles in a six-dimensional space with curvature, and discrete transformations. (Russian. English summary)

Vestnik LGU

22 (1975) 74

How could I obtain a text of your book?

Admin comment by

Author· February 7, 2014 at 6:22 pmHello Sergey and fellow author. 😉

Like most things now, you can find it on Amazon.

Click to view the book.

Fred Chapman· March 25, 2016 at 4:11 pmI just bought a copy of the book on Amazon. Strangely enough, all the page numbers in the table of contents are 000, and the entire index (pp. 359–377) is missing! I’ve purchased many books over the years, but I’ve never seen anything like this. Fortunately, the printing anomalies are limited to the front/back matter; the main content of the book seems fine. To put it more mathematically, the singularities occur on the boundary, not in the interior. 🙂

Fred Chapman· March 25, 2016 at 4:17 pmP.S. I bought the book to commemorate the author’s Everett Pitcher Lecture Series at Lehigh University this week. It was quite a tour de force! I was proud of myself for not getting lost until slide 24 of 59 in the first lecture. 🙂

Fred Chapman· March 25, 2016 at 4:26 pmP.P.S. I’m not a differential geometer, but I play one on TV!