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 ...(展开全部)

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 ...(展开全部)

How should a democracy choose its representatives? How does disease spread? How do computers teach themselves chess, and why is chess easier for them than analyzing a sentence? What should your kids study in school if they really want to learn to think? All of these are questions about geometry. Jordan Ellenberg reveals the mathematics behind some of the most important scientif...(展开全部)

How should a democracy choose its representatives? How does disease spread? How do computers teach themselves chess, and why is chess easier for them than analyzing a sentence? What should your kids study in school if they really want to learn to think? All of these are questions about geometry. Jordan Ellenberg reveals the mathematics behind some of the most important scientif...(展开全部)

The universe has its secrets. It may even hide extra dimensions, different from anything ever imagined. A whole raft of remarkable concepts now rides atop the scientific firmament, including parallel universes, warped geometry, and threedimensional sink-holes. We understand far more about the world than we did just a few short years ago -- and yet we are more uncertain about th...(展开全部)

The universe has many secrets. It may hide additional dimensions of space other than the familier three we recognize. There might even be another universe adjacent to ours, invisible and unattainable . . . for now. Warped Passages is a brilliantly readable and altogether exhilarating journey that tracks the arc of discovery from early twentieth-century physics to the razo...(展开全部)

The universe has its secrets. It may even hide extra dimensions, different from anything ever imagined. A whole raft of remarkable concepts now rides atop the scientific firmament, including parallel universes, warped geometry, and threedimensional sink-holes. We understand far more about the world than we did just a few short years ago -- and yet we are more uncertain about th...(展开全部)

The universe has many secrets. It may hide additional dimensions of space other than the familier three we recognize. There might even be another universe adjacent to ours, invisible and unattainable . . . for now. Warped Passages is a brilliantly readable and altogether exhilarating journey that tracks the arc of discovery from early twentieth-century physics to the razo...(展开全部)

A Fields medalist recounts his lifelong transnational effort to uncover the geometric shape--the Calabi-Yau manifold--that may store the hidden dimensions of our universe. Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our univer...(展开全部)

A Fields medalist recounts his lifelong transnational effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe...(展开全部)