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One of the preeminent mathematicians of the past half century shows how physics and math were combined to give us the theory of gravity and the dizzying array of ideas and insights that has come from it Mathematics is far more than just the language of science. It is a critical underpinning of nature. The famed physicist Albert Einstein demonstrated this in 1915 when he showed that gravity—long considered an attractive force between massive objects—was actually a manifestation of the curvature, or geometry, of space and time. But in making this towering intellectual leap, Einstein needed the help of several mathematicians, including Marcel Grossmann, who introduced him to the geometrical...
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer 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. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi ...
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 shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixt...
The essays next look at abortion from a variety of angles. One contends that killing fetuses is not murder; others emphasize the moral importance of access to abortion. Purdy considers the conflicting interests of women and men regarding abortion, and argues against requiring a husband's consent. The book concludes with a consideration of new reproductive technologies and arrangements, including the controversial issue of surrogacy, or contract pregnancy. Throughout, Purdy combines traditional utilitarianism with some of the most powerful insights of contemporary feminist ethics. Her provocative essays create guidelines for approaching new topics and inspire fresh thinking about old ones.
Popular Science gives our readers the information and tools to improve their technology and their world. The core belief that Popular Science and our readers share: The future is going to be better, and science and technology are the driving forces that will help make it better.
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Popular Science gives our readers the information and tools to improve their technology and their world. The core belief that Popular Science and our readers share: The future is going to be better, and science and technology are the driving forces that will help make it better.
For the last 150 years, chemicals have been tested on animals for the alleged purpose of protecting the public from their dangerous effects. Lethal Laws reveals that using animals as human surrogates is not only unethical, it is bad science. Alix Fano provides a meticulous analysis of the technical and scientific problems that have plagued animal tests for decades, but which have not been forcefully challenged until now. She shows how animal testing has been used as an alibi to allow the continued use of thousands of toxic chemicals. In a field dominated by male voices, this is a pioneering work by a woman that effectively demonstrates the causal link between animal testing and environmental degradation, and the subsequent deterioration of human health.
Does truth change? How can we determine fact from fiction? Travel through history and science, religion and the mind, as we search to make sense of the world around us.