The Shape of Inner Space The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see Full description
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American Journal of Physics
“The Shape of Inner Space is a portrait of a beautiful branch of geometric analysis as seen through the eyes of one of its pioneers, Fields medal winner Shing-Tung Yau... After describing the sequence of events that led him to the United States and to his enamoration with geometry, Yau explains as only a master could the conjecture by Calabi and the subsequent discovery of Calabi-Yau manifolds that are the centerpiece of this book. The reader is thrown into a world of complex manifolds, geometric analysis, and differential equations, yet the book is written so that the persistent layperson could follow all of the main ideas.”
Notes of the Canadian Mathematical Society
“In the fascinating book, The Shape of Inner Space... Shing-Tung Yau, along with coauthor Steve Nadis, describes the exciting development of the theory of what are now called Calabi-Yau manifolds and their relationship to the structure of the universe.”
Philippine Daily Inquirer
“A journey into the mind of a brilliant mathematician, The Shape of Inner Space will delight readers who are not afraid to use their minds.”
BLURBS
Brian Greene, Professor of Mathematics & Physics, Columbia University; author of The Fabric of the Cosmos and The Elegant Universe
“The Shape of Inner Space provides a vibrant tour through the strange and wondrous possibility that the three spatial dimensions we see may not be the only ones that exist. Told by one of the masters of the subject, the book gives an in-depth account of one of the most exciting and controversial developments in modern theoretical physics.”
Joe Polchinski, Professor of Physics, University of California - Santa Barbara; author of String Theory, Vols. 1 & 2
“Einstein’s vision of physical laws emerging from the shape of space has been expanded by the higher dimensions of string theory. This vision has transformed not only modern physics, but also modern mathematics. Shing-Tung Yau has been at the center of these developments. In this ambitious book, written
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see What if you were told that we actually live in a 10-dimensional universe-- that the leading theory of nature posits only 4 out of 10 are accessible to our everyday senses? How do we account for the other 6 dimensions? What do they look like, where are they hiding, and what, if anything at all, do they do? In The Shape of Inner Space, geometer and leading string theorist Shing- Tung Yau unpacks the widely-held belief that these undetected dimensions are tightly curled in elaborate, twisted shapes called "Calabi-Yau manifolds." Yau explains that these spaces are so miniscule that humans will probably never see any of them directly. Amazingly, however, this hidden realm may hold the answers to some of the most profound questions we have about our universe. In examining his life's work, Yau emphasises his most important finding: proof of the manifold's mathematical existence. This discovery has been critical in advancing our understanding of geometry and string theory, and, more broadly, physics and the universe. With this acquired knowledge, string theorists can go beyond the concept of the universe that Einstein left us with, and possibly expose some of nature's greatest mysteries. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we think about mathematics, cosmology, and our quest to learn the shape of the inner universe.
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