This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory...(展开全部)

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory...(展开全部)

DON'T WAIT TO READ THIS BOOK: The world's leading expert on procrastination uses his groundbreaking research to offer understanding on a matter that bedevils us all. Writing with humour, humanity and solid scientific information reminiscent of Stumbling on Happiness and Freakonomics , Piers Steel explains why we knowingly and willingly put off a course of action despite reco...(展开全部)

Fritzsch offers readers the opportunity to listen in on a meeting of Isaac Newton, Albert Einstein, and a present-day physicist. While he introduces the theory of relativity, Fritzsch teaches its sources, its workings, and the ways it has revolutionized our view of the physical world. "An Equation That Changed the World" dramatizes the importance of relativity, for the human ra...(展开全部)

Fritzsch offers readers the opportunity to listen in on a meeting of Isaac Newton, Albert Einstein, and a present-day physicist. While he introduces the theory of relativity, Fritzsch teaches its sources, its workings, and the ways it has revolutionized our view of the physical world. "An Equation That Changed the World" dramatizes the importance of relativity, for the human ra...(展开全部)

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Maor shows that the theorem, although attributed to Pythagoras, was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof - if indeed h...(展开全部)

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Maor shows that the theorem, although attributed to Pythagoras, was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof - if indeed h...(展开全部)

At the nexus of high finance and sophisticated computer programming, a terrifying future may be unfolding even now. Dr. Alex Hoffmann’s name is carefully guarded from the general public, but within the secretive inner circles of the ultrarich he is a legend. He has developed a revolutionary form of artificial intelligence that predicts movements in the financial markets with...(展开全部)

At the nexus of high finance and sophisticated computer programming, a terrifying future may be unfolding even now. Dr. Alex Hoffmann’s name is carefully guarded from the general public, but within the secretive inner circles of the ultrarich he is a legend. He has developed a revolutionary form of artificial intelligence that predicts movements in the financial markets with...(展开全部)