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Tropical and Idempotent Mathematics and Applications
This volume contains the proceedings of the International Workshop on Tropical and Idempotent Mathematics, held at the Independent University of Moscow, Russia, from August 26-31, 2012. The main purpose of the conference was to bring together and unite researchers and specialists in various areas of tropical and idempotent mathematics and applications. This volume contains articles on algebraic foundations of tropical mathematics as well as articles on applications of tropical mathematics in various fields as diverse as economics, electroenergetic networks, chemical reactions, representation theory, and foundations of classical thermodynamics. This volume is intended for graduate students and researchers interested in tropical and idempotent mathematics or in their applications in other areas of mathematics and in technical sciences.
The Preobrazhensky Papers
Historians generally recognise E.A. Preobrazhensky as the most famous Soviet economist of the 1920s. English-language readers know him best as author of The New Economics and co-author (with N.I. Bukharin ) of The ABC of Communism. The documents in this volume, many newly discovered and almost all translated into English for the first time, reveal a Preobrazhensky previously unknown, whose interests ranged far beyond economics to include not only party debates and issues affecting the lives of workers and peasants, but also philosophy, world events, and Russian history, culture and politics. Including moments of triumph and tragedy, they tell an intimate story of political awakening and of commitment to socialist revolution as the path to human dignity.
Stalin's Agent
This is the true story behind General Alexander Orlov, the man who never was, now revealed in full for the first time: Stalinist henchman, Soviet spy, celebrated defector to the West, and central character in the greatest KGB deception ever.
Idempotent Mathematics and Mathematical Physics
Idempotent mathematics is a rapidly developing new branch of the mathematical sciences that is closely related to mathematical physics. The existing literature on the subject is vast and includes numerous books and journal papers. A workshop was organized at the Erwin Schrodinger Institute for Mathematical Physics (Vienna) to give a snapshot of modern idempotent mathematics. This volume contains articles stemming from that event. Also included is an introductory paper by G. Litvinov and additional invited contributions. The resulting volume presents a comprehensive overview of the state of the art. It is suitable for graduate students and researchers interested in idempotent mathematics and tropical mathematics.
Tropical and Idempotent Mathematics
This volume is a collection of papers from the International Conference on Tropical and Idempotent Mathematics, held in Moscow, Russia in August 2007. This is a relatively new branch of mathematical sciences that has been rapidly developing and gaining popularity over the last decade. Tropical mathematics can be viewed as a result of the Maslov dequantization applied to 'traditional' mathematics over fields. Importantly, applications in econophysics and statistical mechanics lead to an explanation of the nature of financial crises. Another original application provides an analysis of instabilities in electrical power networks. Idempotent analysis, tropical algebra, and tropical geometry are the building blocks of the subject. Contributions to idempotent analysis are focused on the Hamilton-Jacobi semigroup, the max-plus finite element method, and on the representations of eigenfunctions of idempotent linear operators. Tropical algebras, consisting of plurisubharmonic functions and their germs, are examined. The volume also contains important surveys and research papers on tropical linear algebra and tropical convex geometry.
Idempotent Analysis
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The Grand Strategy of the Russian Empire, 1650-1831
At its height, the Russian empire covered eleven time zones and stretched from Scandinavia to the Pacific Ocean. Arguing against the traditional historical view that Russia, surrounded and threatened by enemies, was always on the defensive, John P. LeDonne contends that Russia developed a long-term strategy not in response to immediate threats but in line with its own expansionist urges to control the Eurasian Heartland. LeDonne narrates how the government from Moscow and Petersburg expanded the empire by deploying its army as well as by extending its patronage to frontier societies in return for their serving the interests of the empire. He considers three theaters on which the Russians exp...
Felix Berezin: Life And Death Of The Mastermind Of Supermathematics
Felix Berezin was an outstanding Soviet mathematician who in the 1960s and 70s was the driving force behind the emergence of the branch of mathematics now known as supermathematics. The integral over the anticommuting Grassmann variables that he introduced in the 1960s laid the foundation for the path integral formulation of quantum field theory with fermions, the heart of modern supersymmetric field theories and superstrings. The Berezin integral is named for him, as is the closely related construction of the Berezinian, which may be regarded as the superanalog of the determinant.This book features a masterfully written memoir by Berezin's widow, Elena Karpel, who narrates a remarkable account of Berezin's life and his struggle for survival under the totalitarian Soviet regime. Supplemented with recollections by his close friends and colleagues, Berezin's accomplishments in mathematics, his novel ideas and breakthrough works, are reviewed in two articles written by Andrei Losev and Robert Minlos.
