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...
String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missin...
In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard's mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics--in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who...
In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard's mathemati...
The 2012 discovery of the Higgs boson was a sensational triumph-the culmination of a 48-year-long search that put the finishing touches on the so-called "Standard Model" of particle physics. While the celebrations were still underway, researchers in China were making plans to continue the centuries-old quest to identify the fundamental building blocks of nature. More specifically, they began laying the groundwork for a giant accelerator-up to 100 kilometers in circumference-that would transport physics into a previously inaccessible, high-energy realm where a host of new particles, and...
The 2012 discovery of the Higgs boson was a sensational triumph-the culmination of a 48-year-long search that put the finishing touches on the so-call...