This 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congrue...(展开全部)

This textbook fills a gap in the existing literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most successful and relevant applications of general relativity. Topics covered include congruences of timeli...(展开全部)

Suburban Seattle, the mid-1970s. We learn from the out-set that a strange plague has descended upon the area’s teenagers, transmitted by sexual contact. The disease is manifested in any number of ways — from the hideously grotesque to the subtle (and concealable) — but once you’ve got it, that’s it. There’s no turning back. As we inhabit the heads of several key characters ...(展开全部)

A NEW YORK TIMES EDITOR'S CHOICE Einstein’s Shadow follows a team of elite scientists on their historic mission to take the first picture of a black hole, putting Einstein’s theory of relativity to its ultimate test and helping to answer our deepest questions about space, time, the origins of the universe, and the nature of reality Photographing a black hole sounds impossible, ...(展开全部)

A History of Mathematics, Third Edition, provides students with a solid background in the history of mathematics and focuses on the most important topics for today,s elementary, high school, and college curricula. Students will gain a deeper understanding of mathematical concepts in their historical context, and future teachers will find this book a valuable resource in develop...(展开全部)

The author of The Joy of Mathematics explores the mathematics of nature, literature and art. This fascinating look at the surprising ways mathematics influences the everyday world takes an abstract universe and anchors it to the "real" worlds of science, history and the arts in an intriguing way. Photos and line drawings.

PREFACE TO THE FIRST EDITION This book is intended for readers in transition from school mathematics to the fully-fledged type of thinking used by professional mathematicians. It should prove useful to first-year students in universities and colleges, and to advanced students in school contemplating further study in pure mathematics. It should also be of interest to a wider cla...(展开全部)

Thirty years ago the bond and option markets were dominated by traders who had learned their craft by experience. By the mid-1990s the old school grizzled traders had been replaced by a new breed of quantitative analysts, applying mathematics to the "art" of trading and making of it a science. A similar phenomenon is happening in poker. The grizzled "road gamblers" are being re...(展开全部)

Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used...(展开全部)

This long-awaited book aims at a rigorous mathematical treatment of the theory of pricing and hedging of derivative securities by the principle of 'no arbitrage'. The first part presents a relatively elementary introduction, restricting itself to the case of finite probability spaces. The second part consists of an updated edition of seven original research papers by the author...(展开全部)