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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.
A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.
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This journal is devoted to the latest research on physics, publishing articles on everything from elementary particle behavior to black holes and the history of the universe.
Bisogna aver paura della Russia? Eâ tornato il Grande Gioco in Asia Centrale? Qual à ̈ il ruolo di Gazprom? Come ha scritto quella vecchia volpe di Evgeni Primakov, ex capo dello spionaggio russo ed ex primo ministro âla Russia à ̈ stata analizzata, ma non pienamente compresa. Lâignoranza porta direttamente alla distorsioneâ. GazpromNation à ̈ il libro per capire davvero chi e perché comanda oggi a Mosca e quali sono le strategie del Cremlino sullo scacchiere mondiale, con particolare attenzione allo spazio postsovietico e alle repubbliche dellâAsia centrale.
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 BerezinOCOs widow, Elena Karpel, who narrates a remarkable account of BerezinOCOs life and his struggle for survival under the totalitarian Soviet regime. Supplemented with recollections by his close friends and colleagues, BerezinOCOs accomplishments in mathematics, his novel ideas and breakthrough works, are reviewed in two articles written by Andrei Losev and Robert Minlos."