Felix Berezin Life And Death Of The Mastermind Of Supermathematics

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Felix Berezin: Life And Death Of The Mastermind Of Supermathematics

Author : Misha Shifman
Publisher : World Scientific
ISBN 13 : 9814476072
Total Pages : 258 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Felix Berezin: Life And Death Of The Mastermind Of Supermathematics by : Misha Shifman

Download or read book Felix Berezin: Life And Death Of The Mastermind Of Supermathematics written by Misha Shifman and published by World Scientific. This book was released on 2007-04-27 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Field Theory Ii

Author : Misha Shifman
Publisher : World Scientific
ISBN 13 : 9813234202
Total Pages : 319 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Quantum Field Theory Ii by : Misha Shifman

Download or read book Quantum Field Theory Ii written by Misha Shifman and published by World Scientific. This book was released on 2019-03-12 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook grew out of lecture notes the author used in delivering a quantum field theory (QFT) course for students (both in high energy physics and condensed matter) who already had an initial exposure to the subject.It begins with the path integral method of quantization presented in a systematic and clear-cut manner. Perturbation theory is generalized beyond tree level, to include radiative corrections (loops). Renormalization procedures and the Wilsonian renormalization group (RG flow) are discussed, asymptotic freedom of non-Abelian gauge theories is derived, and some applications in Quantum Chromodynamics (QCD) are considered, with a brief digression into the Standard Model (SM). The SM case requires a study of the spontaneous breaking of gauge symmetry, a phenomenon which would be more appropriate to call 'Higgsing of the gauge bosons.' Other regimes attainable in gauge theories are explained as well. In the condensed matter part, the Heisenberg and Ising model are discussed. The present textbook differs from many others in that it is relatively concise and, at the same time, teaches students to carry out actual calculations which they may encounter in QFT-related applications.

Mathematical Cultures

Author : Brendan Larvor
Publisher : Birkhäuser
ISBN 13 : 3319285823
Total Pages : 457 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematical Cultures by : Brendan Larvor

Download or read book Mathematical Cultures written by Brendan Larvor and published by Birkhäuser. This book was released on 2016-05-25 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education. Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.

Toeplitz Matrices and Operators

Author : Nikolaï Nikolski
Publisher : Cambridge University Press
ISBN 13 : 1108187579
Total Pages : 453 pages
Book Rating : 4.1/5 (81 download)

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Book Synopsis Toeplitz Matrices and Operators by : Nikolaï Nikolski

Download or read book Toeplitz Matrices and Operators written by Nikolaï Nikolski and published by Cambridge University Press. This book was released on 2020-01-02 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Toeplitz matrices and operators is a vital part of modern analysis, with applications to moment problems, orthogonal polynomials, approximation theory, integral equations, bounded- and vanishing-mean oscillations, and asymptotic methods for large structured determinants, among others. This friendly introduction to Toeplitz theory covers the classical spectral theory of Toeplitz forms and Wiener–Hopf integral operators and their manifestations throughout modern functional analysis. Numerous solved exercises illustrate the results of the main text and introduce subsidiary topics, including recent developments. Each chapter ends with a survey of the present state of the theory, making this a valuable work for the beginning graduate student and established researcher alike. With biographies of the principal creators of the theory and historical context also woven into the text, this book is a complete source on Toeplitz theory.

Mathematical Analysis and Applications—Plenary Lectures

Author : Luigi G. Rodino
Publisher : Springer
ISBN 13 : 3030008746
Total Pages : 212 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Mathematical Analysis and Applications—Plenary Lectures by : Luigi G. Rodino

Download or read book Mathematical Analysis and Applications—Plenary Lectures written by Luigi G. Rodino and published by Springer. This book was released on 2018-11-11 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Växjö, Sweden, on 14-18 August, 2017. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional analysis, and function theory. With this objective, ISAAC organizes international Congresses for the presentation and discussion of research on analysis. The plenary lectures in the present volume, authored by eminent specialists, are devoted to some exciting recent developments, topics including: local solvability for subprincipal type operators; fractional-order Laplacians; degenerate complex vector fields in the plane; lower bounds for pseudo-differential operators; a survey on Morrey spaces; localization operators in Signal Theory and Quantum Mechanics. Thanks to the accessible style used, readers only need a basic command of Calculus. This book will appeal to scientists, teachers, and graduate students in Mathematics, in particular Mathematical Analysis, Probability and Statistics, Numerical Analysis and Mathematical Physics.

Physics In A Mad World

Author : Misha Shifman
Publisher : World Scientific
ISBN 13 : 9814619310
Total Pages : 555 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Physics In A Mad World by : Misha Shifman

Download or read book Physics In A Mad World written by Misha Shifman and published by World Scientific. This book was released on 2015-08-28 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book tells captivating stories of misadventures of two renowned theoretical physicists in the Soviet Union. The first part is devoted to Friedrich (Fritz) Houtermans, an outstanding Dutch-Austrian-German physicist who was the first to suggest that the source of stars' energy is thermonuclear fusion, and also made a number of other important contributions to cosmochemistry and geochemistry. In 1935, Houtermans, a German communist, in an attempt to save his life from Hilter's Gestapo, fled to the Soviet Union. He took up an appointment at the Kharkov Physico-Technical Institute, working there for two years with the Russian physicist Valentin P Fomin. In the Great Purge of 1937, Houtermans was arrested in December by the NKVD (Soviet Secret Police, KGB's predecessor). He was tortured, and confessed to being a Trotskyist plotter and German spy, out of fear of threats against his wife Charlotte. However, Charlotte had already escaped from the Soviet Union to Denmark, after which she went to England and finally the USA. As a result of the Hilter-Stalin Pact of 1939, Houtermans was turned over to the Gestapo in May 1940 and imprisoned in Berlin.The second part consists of two essays that narrate the life story of Yuri Golfand, one of the codiscoverers of supersymmetry, a major discovery in theoretical physics in the 20th century. In 1973, just two years after the publication of his seminal paper, he was fired from the Lebedev Physics Institute in Moscow. Because of his Jewish origin he could find no job. Under such circumstances, he applied for an exit visa to Israel, but his application was denied. Yuri Golfand became a refusnik and joined the Human rights movement, along with two other prominent physicists, Andrei Sakharov and Yuri Orlov. To earn his living, he had to do manual work, repeatedly being intimidated by KGB. Only 18 years later, shortly before the demise of the Soviet Union, did he obtain permission to leave the country, emigrating to Israel in 1990.These personal life stories of two outstanding theorists are interwined with the tragedies of the 20th century and make for compelling reading.

Advanced Topics in Quantum Field Theory

Author : M. Shifman
Publisher : Cambridge University Press
ISBN 13 : 0521190843
Total Pages : 641 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Advanced Topics in Quantum Field Theory by : M. Shifman

Download or read book Advanced Topics in Quantum Field Theory written by M. Shifman and published by Cambridge University Press. This book was released on 2012-01-19 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted specifically to modern field theory, this is an indispensable book for graduate students and researchers in theoretical physics. It emphasizes nonperturbative phenomena and supersymmetry, and discusses various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective.

Advanced Topics in Quantum Field Theory

Author : Mikhail Shifman
Publisher : Cambridge University Press
ISBN 13 : 1108882080
Total Pages : 740 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Advanced Topics in Quantum Field Theory by : Mikhail Shifman

Download or read book Advanced Topics in Quantum Field Theory written by Mikhail Shifman and published by Cambridge University Press. This book was released on 2022-04-28 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is the basis of our modern description of physical phenomena at the fundamental level. This systematic and comprehensive text emphasizes nonperturbative phenomena and supersymmetry. It includes a thorough discussion of various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective. This Second Edition is revised to include topics developed in the last decade, including higher-form global symmetries and their applications, anomalies in supersymmetric theories beyond Ferrara–Zumino, and non-Abelian supersymmetric vortex strings. A new final part is added, presenting more than 90 problems with detailed solutions, allowing students to check their understanding of the acquired knowledge and providing extra details to supplement the main text descriptions. This an indispensable book for graduate students and researchers in theoretical physics.

Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications

Author : Pavel Mnev
Publisher : American Mathematical Soc.
ISBN 13 : 1470452715
Total Pages : 200 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications by : Pavel Mnev

Download or read book Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications written by Pavel Mnev and published by American Mathematical Soc.. This book was released on 2019-08-20 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originated from lecture notes for the course given by the author at the University of Notre Dame in the fall of 2016. The aim of the book is to give an introduction to the perturbative path integral for gauge theories (in particular, topological field theories) in Batalin–Vilkovisky formalism and to some of its applications. The book is oriented toward a graduate mathematical audience and does not require any prior physics background. To elucidate the picture, the exposition is mostly focused on finite-dimensional models for gauge systems and path integrals, while giving comments on what has to be amended in the infinite-dimensional case relevant to local field theory. Motivating examples discussed in the book include Alexandrov–Kontsevich–Schwarz–Zaboronsky sigma models, the perturbative expansion for Chern–Simons invariants of 3-manifolds given in terms of integrals over configurations of points on the manifold, the BF theory on cellular decompositions of manifolds, and Kontsevich's deformation quantization formula.

CERN Courier

Author : European Organization for Nuclear Research
Publisher :
ISBN 13 :
Total Pages : 576 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis CERN Courier by : European Organization for Nuclear Research

Download or read book CERN Courier written by European Organization for Nuclear Research and published by . This book was released on 2008 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Felix Berezin

Author : Mikhail A. Shifman
Publisher : World Scientific
ISBN 13 : 9812770488
Total Pages : 258 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Felix Berezin by : Mikhail A. Shifman

Download or read book Felix Berezin written by Mikhail A. Shifman and published by World Scientific. This book was released on 2007 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

The Mathematician's Brain

Author : David Ruelle
Publisher : Princeton University Press
ISBN 13 : 9780691129822
Total Pages : 180 pages
Book Rating : 4.1/5 (298 download)

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Book Synopsis The Mathematician's Brain by : David Ruelle

Download or read book The Mathematician's Brain written by David Ruelle and published by Princeton University Press. This book was released on 2007-08-05 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.

I.M. Gelfand Seminar

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (289 download)

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Download or read book I.M. Gelfand Seminar written by and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Freedom's Main Line

Author : Derek Charles Catsam
Publisher : University Press of Kentucky
ISBN 13 : 0813138868
Total Pages : 373 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Freedom's Main Line by : Derek Charles Catsam

Download or read book Freedom's Main Line written by Derek Charles Catsam and published by University Press of Kentucky. This book was released on 2009-01-23 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: “A compelling, spellbinding examination of a pivotal event in civil rights history . . . a highly readable and dramatic account of a major turning point.” —Journal of African-American History Black Americans in the Jim Crow South could not escape the grim reality of racial segregation, whether enforced by law or by custom. In Freedom’s Main Line: The Journey of Reconciliation and the Freedom Rides, author Derek Charles Catsam shows that courtrooms, classrooms, and cemeteries were not the only front lines in African Americans’ prolonged struggle for basic civil rights. Buses, trains, and other modes of public transportation provided the perfect means for civil rights activists to protest the second-class citizenship of African Americans, bringing the reality of the violence of segregation into the consciousness of America and the world. Freedom’s Main Line argues that the Freedom Rides, a turning point in the Civil Rights Movement, were a logical, natural evolution of such earlier efforts as the Journey of Reconciliation, relying on the principles of nonviolence so common in the larger movement. The impact of the Freedom Rides, however, was unprecedented, fixing the issue of civil rights in the national consciousness. Later activists were often dubbed Freedom Riders even if they never set foot on a bus. With challenges to segregated transportation as his point of departure, Catsam chronicles black Americans’ long journey toward increased civil rights. Freedom’s Main Line tells the story of bold incursions into the heart of institutional discrimination, journeys undertaken by heroic individuals who forced racial injustice into the national and international spotlight and helped pave the way for the landmark Civil Rights Act of 1964.

The Geometry of Supermanifolds

Author : C. Bartocci
Publisher : Springer Science & Business Media
ISBN 13 : 9780792314400
Total Pages : 274 pages
Book Rating : 4.3/5 (144 download)

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Book Synopsis The Geometry of Supermanifolds by : C. Bartocci

Download or read book The Geometry of Supermanifolds written by C. Bartocci and published by Springer Science & Business Media. This book was released on 1991-10-31 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi, ...* si favait III mmment en revenir, One service mathematics has rendered the je n'y serais point aile:' human race. It has put CXlUImon sense back Iules Verne where it belongs. on the topmost shelf next to the dUlty canister lahelled 'discarded non- The series i. divergent; therefore we may be able to do something with it. Eric T. Bell O. Hesvi.ide Mathematics is a tool for thOUght. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d't!tre of this series.

ITEP Lectures on Particle Physics and Field Theory

Author : Mikhail A. Shifman
Publisher : World Scientific
ISBN 13 : 9789810239480
Total Pages : 522 pages
Book Rating : 4.2/5 (394 download)

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Book Synopsis ITEP Lectures on Particle Physics and Field Theory by : Mikhail A. Shifman

Download or read book ITEP Lectures on Particle Physics and Field Theory written by Mikhail A. Shifman and published by World Scientific. This book was released on 1999 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Topics in Quantum Field Theory

Author : M. Shifman
Publisher : Cambridge University Press
ISBN 13 : 1139501887
Total Pages : 641 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Advanced Topics in Quantum Field Theory by : M. Shifman

Download or read book Advanced Topics in Quantum Field Theory written by M. Shifman and published by Cambridge University Press. This book was released on 2012-01-19 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the advent of Yang–Mills theories and supersymmetry in the 1970s, quantum field theory - the basis of the modern description of physical phenomena at the fundamental level - has undergone revolutionary developments. This is the first systematic and comprehensive text devoted specifically to modern field theory, bringing readers to the cutting edge of current research. The book emphasizes nonperturbative phenomena and supersymmetry. It includes a thorough discussion of various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective. Featuring extensive cross-referencing from traditional topics to recent breakthroughs in the field, it prepares students for independent research. The side boxes summarizing the main results and over 70 exercises make this an indispensable book for graduate students and researchers in theoretical physics.