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Calculus of tensors
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Most popular at the top

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

    World Scientific 2003; US$ 75.40

    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...

  • Tensoranalysisby Heinz Schade; Klaus Neemann

    Walter de Gruyter, Inc. 2006; US$ 49.90

    Representing an introduction to tensor analysis, this book introduces tensors in symbolic notation and in Cartesian and curvilinear co-ordinates, amongst other things, as well as the algebra of second stage tensors. It imparts the required algebraic aids; and is directed at students on various engineering study courses. 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, there is a need for an updated book on frames, which moves the focus from the classical approach to a more constructive one. Based on a streamlined presentation of the author's previous work, An Introduction to Frames and Riesz Bases, this new textbook fills a gap in the literature, developing frame theory as part of a dialogue between mathematicians and engineers. Newly added sections... more...

  • Visualization and Processing of Tensor Fieldsby Joachim Weickert; Hans Hagen

    Springer 2006; US$ 149.00

    Presents information on the visualization and processing of tensor fields. This book serves as an overview for the inquiring scientist, as a basic foundation for developers and practitioners, and as a textbook for specialized classes and seminars for graduate and doctoral students. more...

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

    Springer 2008; US$ 149.00

    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...

  • Theory of Holorsby Parry Hiram Moon; Domina Eberle Spencer

    Cambridge University Press 1986; US$ 66.00

    Establishes a method by which students and teachers can learn vector and tensor analysis by a uniformed treatment. more...

  • Tensoranalysisby Heinz Schade; Klaus Neemann

    Walter de Gruyter 2009; US$ 555.00

    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 courses. It imparts the required algebraic aids and contains numerous exercises with answers, making it eminently suitable for self study. more...

  • Vector Optimization with Infimum and Supremumby Andreas Lohne

    Springer 2011; US$ 139.00

    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 solution concepts, existence and duality results and algorithms for the linear case. The main advantage of this approach is the high degree of analogy to corresponding results of Scalar Optimization. The concepts and results are used to explain and to improve practically relevant algorithms for linear vector optimization problems. more...

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

    Springer 2012; 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 conflict between various objectives and goals. In these problems, one has to find the minimum(or maximum) for several objective functions. Such problems are called vector optimization problems (VOP),multi-criteria optimization problems or multi-objective optimization problems. This volume deals with several different topics / aspects of vector optimization theory ranging from the very beginning to... more...

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

    CRC Press 2012; US$ 99.95

    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 and Hausdorff measures are used. The resulting integration by parts is sufficiently general for many applications. As an example, it is applied to removable singularities of Cauchy--Riemann, Laplace, and minimal surface equations. The sets of finite perimeter are introduced in Part II. Both the geometric and analytic points of view are presented. The equivalence of these viewpoints is obtained via... more...

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