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The principal aim of analysis of tensors is to investigate those relations which remain valid when we change from one coordinate system to another. This book on Tensors requires only a knowledge of elementary calculus, differential equations and classical mechanics as pre-requisites. It provides the readers with all the information about the tensors along with the derivation of all the tensorial relations/equations in a simple manner. The book also deals in detail with topics of importance to the study of special and general relativity and the geometry of differentiable manifolds with a crystal clear exposition. The concepts dealt within the book are well supported by a number of solved examples. A carefully selected set of unsolved problems is also given at the end of each chapter, and the answers and hints for the solution of these problems are given at the end of the book. The applications of tensors to the fields of differential geometry, relativity, cosmology and electromagnetism is another attraction of the present book. This book is intended to serve as text for postgraduate students of mathematics, physics and engineering. It is ideally suited for both students and teachers who are engaged in research in General Theory of Relativity and Differential Geometry.

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Ultralight and super-comfortable, the Nemo Tensor All-Season sleeping pad is an ideal choice for backpacking adventures. Innovative design and materials provide reliable warmth and a super-stable sleeping platform. Spaceframe™ baffles offer unparalleled stability and weight distribution, using low-stretch, die-cut trusses that eliminate springiness. Two layers of floating Thermal Mirror™ metallized film provide quiet insulation with an unprecedented weight-to-warmth ratio. Bluesign®-approved premium nylon fabrics shave grams while offering superior puncture- and tear-resistance. Quiet design for uninterrupted sleep. 3. 5 inches of stable, cushioned loft for incredibly comfortable nights. Improved zero-profile, multifunctional, adjustable Laylow™ valve offers customized inflation control, even in cold temperatures. Included Vortex pump sack, stuff sack, velcro strap and repair kit. Included Vortex™ pump sack provides easy and fast inflation and minimizes moisture entering the pad. Imported. Nemo Tensor All-Season Sleeping Pad Long Multi Color Regular Wide, Nylon/Metal

Ultralight and super-comfortable, the Nemo Tensor All-Season sleeping pad is an ideal choice for backpacking adventures. Innovative design and materials provide reliable warmth and a super-stable sleeping platform. Spaceframe™ baffles offer unparalleled stability and weight distribution, using low-stretch, die-cut trusses that eliminate springiness. Two layers of floating Thermal Mirror™ metallized film provide quiet insulation with an unprecedented weight-to-warmth ratio. Bluesign®-approved premium nylon fabrics shave grams while offering superior puncture- and tear-resistance. Quiet design for uninterrupted sleep. 3. 5 inches of stable, cushioned loft for incredibly comfortable nights. Improved zero-profile, multifunctional, adjustable Laylow™ valve offers customized inflation control, even in cold temperatures. Included Vortex pump sack, stuff sack, velcro strap and repair kit. Included Vortex™ pump sack provides easy and fast inflation and minimizes moisture entering the pad. Imported. Nemo Tensor All-Season Sleeping Pad Long Multi Color Regular, Nylon/Metal

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Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a beautiful subject in its own right. This book has three intended uses: a classroom textbook, a reference work for researchers in the sciences, and an account of classical and modern results in (aspects of) the theory that will be of interest to researchers in geometry. For classroom use, there is a modern introduction to multilinear algebra and to the geometry and representation theory needed to study tensors, including a large number of exercises. For researchers in the sciences, there is information on tensors in table format for easy reference and a summary of the state of the art in elementary language. This is the first book containing many classical results regarding tensors. Particular applications treated in the book include the complexity of matrix multiplication, P versus NP, signal processing, phylogenetics, and algebraic statistics. For geometers, there is material on secant varieties, G-varieties, spaces with finitely many orbits and how these objects arise in applications, discussions of numerous open questions in geometry arising in applications, and expositions of advanced topics such as the proof of the Alexander-Hirschowitz theorem and of the Weyman-Kempf method for computing syzygies.

This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins.  Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world.The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: · General Basis and Bra-Ket Notation· Tensor Analysis· Elementary Differential Geometry· Differential Forms· Applications of Tensors and Differential Geometry· Tensors and Bra-Ket Notation in Quantum MechanicsThe text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics.Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.