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Proceedings of the International Congress of Mathematicians
Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account...
Group Theory
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Mathematics across the Iron Curtain
The theory of semigroups is a relatively young branch of mathematics, with most of the major results having appeared after the Second World War. This book describes the evolution of (algebraic) semigroup theory from its earliest origins to the establishment of a full-fledged theory. Semigroup theory might be termed `Cold War mathematics' because of the time during which it developed. There were thriving schools on both sides of the Iron Curtain, although the two sides were not always able to communicate with each other, or even gain access to the other's publications. A major theme of this book is the comparison of the approaches to the subject of mathematicians in East and West, and the study of the extent to which contact between the two sides was possible.
The Climb
In May 1996 a number of expeditions attempted to climb Mount Everest on the Southeast Ridge route. Each group contained world class climbers and relative novices, some of whom had paid tens of thousands of pounds for the climb. As they neared the summit twenty-three men and women, including the expedition leaders, were caught in a ferocious blizzard. Disorientated, out of oxygen and depleted of supplied, the climbers struggled to find their way to safety. Experienced high-altitude guide Anatoli Boukreev led an exhausted and terrified group of climbers back to safety before going back out into the blizzard to help others stranded on the mountain. Rescuing a number of people from certain death, he emerged a hero. The Climb by Anatoli Boukreev is an honest and gripping account of true endurance and contains interviews with most of the surviving climbers, medical personnel, Sherpa guides, and families of the dead who experienced the tragedy. This edition also includes the transcript of the Mountain Madness debriefing, recorded five days after the tragedy, as well as G. Weston de Walt's response to Jon Krakauer.
Fully Nonlinear Elliptic Equations
The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.
