This volume opens in spring 1914 when Einstein takes up a research professorship at the Prussian Academy of Sciences in Berlin and closes with the collapse of the German Empire four and one-half...

A tight-knit, high-powered group of scientists and engineers spent eight years building a satellite designed, in effect, to read the genome of the universe. Launched in 2001, the Wilkinson Microwave...

For hundreds of years, the study of elliptic curves has played a central role in mathematics. The past century in particular has seen huge progress in this study, from Mordell's theorem in 1922 to...

To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to...

Wittgenstein famously remarked in 1923, "Darwin's theory has no more relevance for philosophy than any other hypothesis in natural science." Yet today we are witnessing a major revival of interest in...

The field of astrophysics is in the midst of a technologically driven renaissance, as fundamental discoveries are being made with astonishing frequency. In the last decade, new detectors in space, on...

This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the...

When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully...

Among the many constants that appear in mathematics, π, e, and i are the most familiar. Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a...

Everyone knows the small-world phenomenon: soon after meeting a stranger, we are surprised to discover that we have a mutual friend, or we are connected through a short chain of acquaintances. In his...

High-energy astrophysics involves the study of exceedingly dynamic and energetic phenomena occurring near the most extreme celestial objects known to exist, such as black holes, neutron stars, white...

This text presents extended separation, comparison, and oscillation theorems that replace the classical analysis of Legendre, Jacobi, Hilbert, and others. Its analysis of related quadratic...

Accurate and complete, this classic volume surveys a century of progress in the calculus of variations. In addition to introductions to a variety of treatises and memoirs, the author provides...

This classic work, on the numerical solution of boundary value problems by variational methods with special emphasis on the finite element and collocation methods, is now available in an unabridged...