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The first complete proof of Arnold diffusion—one of the most important problems in dynamical systems and mathematical physicsArnold diffusion, which concerns the appearance of …
An authoritative interdisciplinary account of the historic discovery of gravitational wavesIn 1915, Albert Einstein predicted the existence of gravitational waves—ripples in the …
William Thurston (1946–2012) was one of the great mathematicians of the twentieth century. He was a visionary whose extraordinary ideas revolutionized a broad range of areas of …
A pithy yet deep introduction to Einstein’s general theory of relativityOf the four fundamental forces of nature, gravity might be the least understood and yet the one with which …
A graduate-level text that examines the semiclassical approach to quantum mechanicsPhysical systems have been traditionally described in terms of either classical or quantum …
A short, graduate-level synthesis of recent developments in theoretical physics, from a pioneer in the fieldLectures on the Infrared Structure of Gravity and Gauge Theory presents …
Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published …
This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's …
First published in 1973, Gravitation is a landmark graduate-level textbook that presents Einstein's general theory of relativity and offers a rigorous, full-year course on the …
Dive into a mind-bending exploration of the physics of black holes Black holes, predicted by Albert Einstein's general theory of relativity more than a century ago, have long …