Tag: Tensor

New Developments in the Visualization and Processing of Tensor Fields


Free Download New Developments in the Visualization and Processing of Tensor Fields By Hans Knutsson, Carl-Fredrik Westin, Mats Andersson (auth.), David H. Laidlaw, Anna Vilanova (eds.)
2012 | 384 Pages | ISBN: 3642273424 | PDF | 13 MB
Bringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated this edited volume was the third in the successful Dagstuhl series. Its aim, reflected in the quality and relevance of the papers presented, was to foster collaboration and fresh lines of inquiry in the analysis and visualization of tensor fields, which offer a concise model for numerous physical phenomena. Despite their utility, there remains a dearth of methods for studying all but the simplest ones, a shortage the workshops aim to address.Documenting the latest progress and open research questions in tensor field analysis, the chapters reflect the excitement and inspiration generated by this latest Dagstuhl workshop, held in July 2009. The topics they address range from applications of the analysis of tensor fields to purer research into their mathematical and analytical properties. They show how cooperation and the sharing of ideas and data between those engaged in pure and applied research can open new vistas in the study of tensor fields.

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At the Frontier of Spacetime Scalar-Tensor Theory, Bells Inequality, Machs Principle, Exotic Smoothness


Free Download At the Frontier of Spacetime: Scalar-Tensor Theory, Bells Inequality, Machs Principle, Exotic Smoothness by Torsten Asselmeyer-Maluga
English | PDF (True) | 2016 | 326 Pages | ISBN : 3319312979 | 6.1 MB
In this book, leading theorists present new contributions and reviews addressing longstanding challenges and ongoing progress in spacetime physics.

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Tensor Analysis and Continuum Mechanics


Free Download Tensor Analysis and Continuum Mechanics by Wilhelm Flügge
English | PDF | 1972 | 215 Pages | ISBN : 3642883842 | 16.3 MB
Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added’ a chapter on tensors or wrote a separate book on the subject.

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Tensor Analysis for Engineers (2nd Edition)


Free Download Tensor Analysis for Engineers 2E: Transformations – Mathematics – Applications
English | 2021 | ISBN: 1683926013 | 196 Pages | PDF (True) | 7 MB
Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities. The geometry is limited to the Euclidean space/geometry, where the Pythagorean Theorem applies, with well-defined Cartesian coordinate systems as the reference. Quantities defined in curvilinear coordinate systems, like cylindrical, spherical, parabolic, etc. are discussed and several examples and coordinates sketches with related calculations are presented. In addition, the book has several worked-out examples for helping the readers with mastering the topics provided in the prior sections.

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Tensor Analysis for Engineers (3rd Edition)


Free Download Tensor Analysis for Engineers Third Edition: Transformations – Mathematics – Applications
English | 2023 | ISBN: 1683929640 | 388 Pages | EPUB (True) | 34 MB
Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists with the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities. It includes expanded content on the application of mechanical stress transformation. The geometry is limited to the Euclidean space/geometry, where the Pythagorean Theorem applies, with well-defined Cartesian coordinate systems as the reference. Quantities defined in curvilinear coordinate systems, like cylindrical, spherical, parabolic, etc. are discussed and several examples and coordinates sketches with related calculations are presented. In addition, the book has several worked-out examples for helping the readers with mastering the topics provided in the prior sections.

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Ricci-Calculus An Introduction to Tensor Analysis and Its Geometrical Applications


Free Download Ricci-Calculus: An Introduction to Tensor Analysis and Its Geometrical Applications by J. A. Schouten
English | PDF | 1954 | 535 Pages | ISBN : 364205692X | 42.5 MB
This is an entirely new book. The first edition appeared in 1923 and at that time it was up to date. But in 193 5 and 1938 the author and Prof. D. J. STRUIK published a new book, their Einführung I and li, and this book not only gave the first systematic introduction to the kernel index method but also contained many notions that had come into prominence since 1923. For instance densities, quantities of the second kind, pseudo-quantities, normal Coordinates, the symbolism of exterior forms, the LIE derivative, the theory of variation and deformation and the theory of subprojective connexions were included. Now since 1938 there have been many new developments and so a book on RICCI cal culus and its applications has to cover quite different ground from the book of 1923. Though the purpose remains to make the reader acquainted with RICCI’s famous instrument in its modern form, the book must have quite a different methodical structure and quite different applica tions have to be chosen. The first chapter contains algebraical preliminaries but the whole text is modernized and there is a section on hybrid quantities (quantities with indices of the first and of the second kind) and one on the many abridged notations that have been developed by several authors. In the second chapter the most important analytical notions that come before the introduction of a connexion aredealt with in full.

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