tensors made easy with solved problems

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Tensors Made Easy With Solved Problems

Author : Giancarlo Bernacchi
ISBN : 9781326292539
Genre : Science
File Size : 83. 11 MB
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-- New March 2019 REVISED EDITION -- A friendly and non-formal approach to a subject of abstract mathematics that has important applications in physics, especially in General Relativity, but also in other fields. The purpose of the book is mainly didactic and requires a minimum of mathematical background (differential calculus, partial derivatives included).

Tensors Made Easy

Author : Giancarlo Bernacchi
ISBN : 9781326230975
Genre : Science
File Size : 75. 96 MB
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--New MARCH 2019 revised edition --A friendly and non-formal approach to a subject of abstract mathematics that has important applications in physics, especially in General Relativity, but also in other fields. The purpose of the book is mainly didactic and requires a minimum of mathematical background (calculus, partial derivatives included). See also enlarged edition ""Tensors made easy with SOLVED PROBLEMS""

Tensor Network States And Effective Particles For Low Dimensional Quantum Spin Systems

Author : Laurens Vanderstraeten
ISBN : 9783319641911
Genre : Science
File Size : 66. 36 MB
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This thesis develops new techniques for simulating the low-energy behaviour of quantum spin systems in one and two dimensions. Combining these developments, it subsequently uses the formalism of tensor network states to derive an effective particle description for one- and two-dimensional spin systems that exhibit strong quantum correlations. These techniques arise from the combination of two themes in many-particle physics: (i) the concept of quasiparticles as the effective low-energy degrees of freedom in a condensed-matter system, and (ii) entanglement as the characteristic feature for describing quantum phases of matter. Whereas the former gave rise to the use of effective field theories for understanding many-particle systems, the latter led to the development of tensor network states as a description of the entanglement distribution in quantum low-energy states.

Tensor Analysis

Author : Liqun Qi
ISBN : 9781611974751
Genre : Mathematics
File Size : 75. 67 MB
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Tensors, or hypermatrices, are multi-arrays with more than two indices. In the last decade or so, many concepts and results in matrix theory?some of which are nontrivial?have been extended to tensors and have a wide range of applications (for example, spectral hypergraph theory, higher order Markov chains, polynomial optimization, magnetic resonance imaging, automatic control, and quantum entanglement problems). The authors provide a comprehensive discussion of this new theory of tensors. Tensor Analysis: Spectral Theory and Special Tensors is unique in that it is the first book on these three subject areas: spectral theory of tensors; the theory of special tensors, including nonnegative tensors, positive semidefinite tensors, completely positive tensors, and copositive tensors; and the spectral hypergraph theory via tensors.

Scripta Mathematica

Author :
ISBN : UOM:39015022295086
Genre : Mathematics
File Size : 40. 82 MB
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Includes section "Book reviews."

Advances In Design Automation 1994 Robust Design Applications Decomposition And Design Optimization Optimization Tools And Applications

Author : Brian J. Gilmore
ISBN : UOM:39015032193768
Genre : Computer-aided design
File Size : 76. 87 MB
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The Electrical Review

Author :
ISBN : UIUC:30112005446502
Genre : Electrical engineering
File Size : 45. 63 MB
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Introduction To Diffusion Tensor Imaging

Author : Susumu Mori
ISBN : 9780123984074
Genre : Medical
File Size : 68. 41 MB
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The concepts behind diffusion tensor imaging (DTI) are commonly difficult to grasp, even for magnetic resonance physicists. To make matters worse, a many more complex higher-order methods have been proposed over the last few years to overcome the now well-known deficiencies of DTI. In Introduction to Diffusion Tensor Imaging: And Higher Order Models, these concepts are explained through extensive use of illustrations rather than equations to help readers gain a more intuitive understanding of the inner workings of these techniques. Emphasis is placed on the interpretation of DTI images and tractography results, the design of experiments, and the types of application studies that can be undertaken. Diffusion MRI is a very active field of research, and theories and techniques are constantly evolving. To make sense of this constantly shifting landscape, there is a need for a textbook that explains the concepts behind how these techniques work in a way that is easy and intuitive to understand—Introduction to Diffusion Tensor Imaging fills this gap. Extensive use of illustrations to explain the concepts of diffusion tensor imaging and related methods Easy to understand, even without a background in physics Includes sections on image interpretation, experimental design, and applications Up-to-date information on more recent higher-order models, which are increasingly being used for clinical applications

The Matrix And Tensor Quarterly

Author :
ISBN : UCSC:32106020192883
Genre : Calculus of tensors
File Size : 60. 34 MB
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Classical Electrodynamics

Author : T. Tsang
ISBN : 9810230419
Genre : Technology & Engineering
File Size : 67. 25 MB
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This is a comprehensive and ?user-friendly? textbook for a two-semester graduate level course in physics and electrical engineering. Many applications are given in the text. Over two hundred problems are also given. Problem solving by simple and direct approaches (with detailed calculations) are included, and hints are provided to solve the more difficult problems. Approaches to choosing suitable diagrams, coordinating systems and to symmetry requirements are discussed. Mathematical reviews are also given, with emphasis on intuition and fundamentals.

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