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Calculus of tensors

  • 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...

  • 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...

  • 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...

  • Frames and Basesby Ole Christensen

    Springer 2008; US$ 49.95

    During the last several years, frames have become increasingly popular; they have appeared in a large number of applications, and several concrete constructions of frames of various types have been presented. Most of these constructions were based on quite direct methods rather than the classical sufficient conditions for obtaining a frame. Consequently,... 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...

  • Vectors in Two or Three Dimensionsby Ann Hirst

    Elsevier Science 1995; US$ 49.95

    Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout. Properties of vectors are initially... 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...

  • Tensor Analysisby Leonid P. Lebedev; Michael J. Cloud

    World Scientific Publishing Company 2003; US$ 149.00

    Tensor analysis is an essential tool in any science (e.g. engineering, physics, mathematical biology) that employs a continuum description. This concise text offers a straightforward treatment of the subject suitable for the student or practicing engineer. 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...