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Calculus of tensors

  • Tensor Categories and Endomorphisms of von Neumann Algebrasby Marcel Bischoff; Yasuyuki Kawahigashi; Roberto Longo; Karl-Henning Rehren

    Springer International Publishing 2015; US$ 54.99

    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.... more...

  • Physical Components of Tensorsby Wolf Altman; Antonio Marmo De Oliveira

    CRC Press 2014; US$ 139.95

    "This book provides a clear explanation of the mathematical properties of tensors, from a physical perspective. The book is rigorous and concise, yet easy to read and very accessible. The reader will enjoy the wide variety of examples and exercises with solution, which make the book very pedagogical. I believe this can be a very useful book for anyone... more...

  • Elementary Vectorsby E. ?. Wolstenholme

    Elsevier Science 2014; US$ 31.95

    Elementary Vectors, Third Edition serves as an introductory course in vector analysis and is intended to present the theoretical and application aspects of vectors. The book covers topics that rigorously explain and provide definitions, principles, equations, and methods in vector analysis. Applications of vector methods to simple kinematical and... more...

  • Vector Analysis and Cartesian Tensorsby D. E. Bourne; P. C. Kendall

    Elsevier Science 2014; US$ 72.95

    Vector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra,... more...

  • Tensorial Methods and Renormalization in Group Field Theoriesby Sylvain Carrozza

    Springer International Publishing 2014; US$ 129.00

    The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on the one hand, to Loop Quantum Gravity (LQG) and on the other, to matrix- and tensor models. Background material on these topics,... more...

  • Variable Ordering Structures in Vector Optimizationby Gabriele Eichfelder

    Springer Berlin Heidelberg 2014; US$ 109.00

    This book provides an introduction to vector optimization with variable ordering structures, i.e., to optimization problems with a vector-valued objective function where the elements in the objective space are compared based on a variable ordering structure: instead of a partial ordering defined by a convex cone, we see a whole family of convex cones,... more...

  • Differential Formsby Steven H. Weintraub

    Elsevier Science 2014; US$ 119.95

    Differential forms are a powerful mathematical technique to help students, researchers, and engineers solve problems in geometry and analysis, and their applications. They both unify and simplify results in concrete settings, and allow them to be clearly and effectively generalized to more abstract settings. Differential Forms has gained high recognition... more...

  • Finite Framesby

    Birkhäuser Boston 2012; US$ 129.00

    Here is a comprehensive, systematic study of finite frame theory and applications. Coverage includes frame constructions, group frames, fusion frames, pseudo-frames, frames and algebraic geometry, and robustness against erasures. more...

  • The Divergence Theorem and Sets of Finite Perimeterby Washek F. Pfeffer

    CRC Press 2012; US$ 109.95

    DYADIC FIGURES Preliminaries The setting Topology Measures Hausdorff measures Differentiable and Lipschitz maps Divergence Theorem for Dyadic Figures Differentiable vector fields Dyadic partitions Admissible maps Convergence of dyadic figures Removable Singularities Distributions Differential equations Holomorphic functions... more...