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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...

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

Springer International Publishing 2015; US$ 50.19C* 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 Tensors

CRC Press 2014; US$ 79.95Illustrating 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...

#### Elementary Vectors

Elsevier Science 2014; US$ 31.95Elementary 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 Tensors

Elsevier Science 2014; US$ 72.95Vector 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 Theories

Springer International Publishing 2014; US$ 105.07The 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 Optimization

Springer Berlin Heidelberg 2014; US$ 99.23This 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 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...

#### Finite Frames

Birkhäuser Boston 2012; US$ 115.47Here 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...

#### Vector Analysis Versus Vector Calculus

Springer New York 2012; US$ 61.87The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables.... more...