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Calculus of tensors

  • Tensorial Methods and Renormalization in Group Field Theoriesby Sylvain Carrozza

    Springer 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 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 utilized as a mathematical technique to help students, researchers, and engineers analyze and interpret problems where abstract spaces and structures are concerned, and when questions of shape, size, and relative positions are involved. Differential Forms has gained high recognition in the mathematical and scientific community... more...

  • Finite Framesby Peter G. Casazza; Gitta Kutyniok

    Springer 2012; US$ 129.00

    Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications... more...

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

    Taylor and Francis 2012; US$ 104.95

    This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration ? no generalized Riemann integrals of Henstock?Kurzweil variety are involved. In Part I the divergence theorem is established by a combinatorial argument involving dyadic cubes. Only elementary properties of the Lebesgue integral... more...

  • Recent Developments in Vector Optimizationby Qamrul Hasan Ansari; Jen-Chih Yao

    Springer 2011; US$ 189.00

    We always come cross several decision-making problems in our daily life. Such problems are always conflicting in which many different view points should be satisfied. In politics, business, industrial systems, management science, networks, etc. one often encounters such kind of problems. The most important and difficult part in such problems is the... more...

  • Vector Optimization with Infimum and Supremumby Andreas Lohne

    Springer 2011; US$ 169.00

    The theory of Vector Optimization is developed by a systematic usage of infimum and supremum. In order to get existence and appropriate properties of the infimum, the image space of the vector optimization problem is embedded into a larger space, which is a subset of the power set, in fact, the space of self-infimal sets. Based on this idea we establish... more...

  • Visualization and Processing of Tensor Fieldsby David Laidlaw; Joachim Weickert

    Springer 2009; US$ 189.00

    Tensor fields are the natural representation for many physical quantities; they can describe how water moves around in the brain, how gravity varies around the earth, or how materials are stressed and deformed. This book provides researchers a look at how to process and visualize complicated 2D and 3D images known as tensor fields. more...

  • Tensoranalysisby Heinz Schade; Klaus Neemann

    De Gruyter 2009; US$ 560.00

    This textbook represents an extensive and easily understood introduction to tensor analysis, which is to be construed here as the generic term for classical tensor analysis and tensor algebra, and which is a requirement in many physics applications and in engineering sciences. The book is primarily directed at students on various engineering study... more...