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  • An Introduction to Tensors and Group Theory for Physicists

    Series series Mathematics and Statistics (R0)
    An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics. A particular aim is to demystify tensors and provide a unified framework for understanding them in the context of classical and quantum physics. Connecting the component formalism prevalent in physics ... Read more

    $49.99 USD

  • An Introduction to Tensors and Group Theory for Physicists

    Series series Mathematics and Statistics (R0)
    The second edition of this highly praised textbook provides an introduction to tensors, group theory, and their applications in classical and quantum physics. Both intuitive and rigorous, it aims to demystify tensors by giving the slightly more abstract but conceptually much clearer definition found in the math literature, and then connects this formulation to the component formalism of physics ... Read more

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    Series series Mathematics and Statistics (R0)
    This volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory. The author, a leading authority on the subject, sets out numerous results previously unpublished in book form. In addition to outlining ... Read more

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  • Matrix Operations for Engineers and Scientists

    An Essential Guide in Linear Algebra

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    Series series Physics and Astronomy (R0)
    Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of ... Read more

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  • Analytic Tools for Feynman Integrals

    Series series Physics and Astronomy (R0)
    The goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice. This book supersedes the author’s previous Springer book “Evaluating Feynman Integrals” and its textbook version “Feynman Integral Calculus.” Since the publication of these two books, powerful new methods have arisen and conventional methods have been ... Read more

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  • Aspects of Symmetry

    Selected Erice Lectures

    For almost two decades, Sidney Coleman has been giving review lectures on frontier topics in theoretical high-energy physics at the International School of Subnuclear Physics held each year at Erice, Sicily. This volume is a collection of some of the best of these lectures. To this day they have few rivals for clarity of exposition and depth of insight. Although very popular when first published, ... Read more

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  • Perturbative Algebraic Quantum Field Theory

    An Introduction for Mathematicians

    by Kasia Rejzner ...
    Series series Physics and Astronomy (R0)
    Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian manifolds.We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity.pQFT models describe ... Read more

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  • Tensor Categories and Endomorphisms of von Neumann Algebras

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    Series series Physics and Astronomy (R0)
    C* tensor categories are a point of contact where Operator Algebras and Quantum Field Theory meet. They are the underlying unifying concept for homomorphisms of (properly infinite) von Neumann algebras and representations of quantum observables.The present introductory text reviews the basic notions and their cross-relations in different contexts. The focus is on Q-systems that serve as complete ... Read more

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  • Symmetries, Integrable Systems and Representations

    Series series Springer Nature Proceedings excluding Computer Science
    This volume is the result of two international workshops; Infinite Analysis 11 – Frontier of Integrability – held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Université Claude Bernard Lyon 1, France in December 13th to 16th, 2011.Included are research articles based on the talks presented at the workshops, latest results ... Read more

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  • Computational Mathematics, Numerical Analysis and Applications

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    The first part of this volume gathers the lecture notes of the courses of the “XVII Escuela Hispano-Francesa”, held in Gijón, Spain, in June 2016. Each chapter is devoted to an advanced topic and presents state-of-the-art research in a didactic and self-contained way. Young researchers will find a complete guide to beginning advanced work in fields such as High Performance Computing, Numerical ... Read more

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  • Factorization Algebras in Quantum Field Theory: Volume 1

    Series Book 31 - New Mathematical Monographs
    Factorization algebras are local-to-global objects that play a role in classical and quantum field theory which is similar to the role of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examples like associative and vertex algebras; in these examples, their global structure encompasses Hochschild homology and conformal blocks. In this ... Read more

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  • Hadamard States from Light-like Hypersurfaces

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    This book provides a rather self-contained survey of the construction of Hadamard states for scalar field theories in a large class of notable spacetimes, possessing a (conformal) light-like boundary. The first two sections focus on explaining a few introductory aspects of this topic and on providing the relevant geometric background material. The notions of asymptotically flat spacetimes and of ... Read more

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