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#### The Divergence Theorem and Sets of Finite Perimeter

CRC Press 2016; US$ 122.95This 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...

#### Vectors in Two or Three Dimensions

Elsevier Science 1995; US$ 49.95Vectors 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...

#### Physical Components of Tensors

CRC Press 2014; US$ 146.95Illustrating the important aspects of tensor calculus, and highlighting its most practical features, Physical Components of Tensors presents an authoritative and complete explanation of tensor calculus that is based on transformations of bases of vector spaces rather than on transformations of coordinates. Written with graduate students, professors,... more...

#### Tensor Categories and Endomorphisms of von Neumann Algebras

Springer International Publishing 2015; US$ 47.26C* 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...

#### Recent Developments in Vector Optimization

Springer Berlin Heidelberg 2011; US$ 153.89Taking hold of a range of topics in vector optimization, from baseline issues to today?s leading-edge research, this volume?s fourteen chapters have been contributed by recognized experts in their respective sub-fields of multi-criteria optimization. more...

#### Finite Frames

Birkhäuser Boston 2012; US$ 108.72Here 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...

#### Differential Forms

Elsevier Science 2014; US$ 119.95Differential 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...

#### Variable Ordering Structures in Vector Optimization

Springer Berlin Heidelberg 2014; US$ 93.43This 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...

#### Visualization and Processing of Tensor Fields

Springer Berlin Heidelberg 2007; US$ 153.89Matrix-valued data sets ? so-called second order tensor fields ? have gained significant importance in scientific visualization and image processing due to recent developments such as diffusion tensor imaging. This book is the first edited volume that presents the state of the art in the visualization and processing of tensor fields. It contains some... more...

#### Tensorial Methods and Renormalization in Group Field Theories

Springer International Publishing 2014; US$ 98.92The 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...