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# ðŸ“™ Tensors: geometry and applications by J. M. Landsberg â€” epub download

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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

## About book:

## About file:

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- Series:
**Graduate Studies in Mathematics 128** - Author:
**J. M. Landsberg** - Year:
**2012** - Publisher:
**American Mathematical Society** - Language:
**English** - ISBN:
**0821869078,978-0-8218-6907-9**

- File size:
**4 010 964** - Format:
**pdf**

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This treatment of differential geometry and the mathematics required for general relativity makes the subject of this book accessible for the first time to anyone familiar with elementary calculus in one variable and with a knowledge of some vector algebr...

This book provides a broad survey of models and efficient algorithms for Nonnegative Matrix Factorization (NMF). This includes NMFâ€™s various extensions and modifications, especially Nonnegative Tensor Factorizations (NTF) and Nonnegative Tucker Decomposit...

This treatment of differential geometry and the mathematics required for general relativity makes the subject accessible, for the first time, to anyone familiar with elementary calculus in one variable and with some knowledge of vector algebra. The emphas...

The contributions in this volume, made by distinguished statisticians in several frontier areas of research in multivariate analysis, cover a broad field and indicate future directions of research. The topics covered include discriminant analysis, multidi...

This book gives the basic notions of differential geometry, such as the metric tensor, the Riemann curvature tensor, the fundamental forms of a surface, covariant derivatives, and the fundamental theorem of surface theory in a self-contained and accessibl...

Written in easy-to-read style with corresponding examples, this title aims to explain the fundamentals of Tensors and their applications to Mechanics, Elasticity, Theory of Relativity, Electromagnetic, Riemannian Geometry and many other disciplines of sci...

Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry ...

This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in ...

This book gives the basic notions of differential geometry, such as the metric tensor, the Riemann curvature tensor, the fundamental forms of a surface, covariant derivatives, and the fundamental theorem of surface theory in a self-contained and accessibl...

Get your mission-critical messaging and collaboration systems up and running with the essential guide to deploying and managing Exchange Server 2007. This comprehensive administrator's reference covers the full range of server and client deployments, unif...

Arc welding is one of the key processes in industrial manufacturing, with welders using two types of processes - gas metal arc welding (GMAW) and gas tungsten arc welding (GTAW). This new book provides a survey-oriented account of the modeling, sensing,...

This text analyzes the molecular mechanisms, chemical behaviour and regulation of iron transport in biological systems and offers novel methods for the assessment of iron transport across biological membranes. It details the characteristics and consequenc...

The state of the art / Alessandro Gandini and Mohamed Naceur Belgacem -- Terpenes: major sources, properties and applications / Armando J.D. Silvestre and Alessandro Gandini -- Materials from vegetable oils: major sources, properties and applications / Mo...

Monosaccharides Their Chemistry and Their Roles in Natural Products Peter Collins University of London, UK Robin Ferrier Victoria University of Wellington, NZ An in-depth text for students starting their study of carbohydrate chemistry, Monosaccharides re...

This text is designed to introduce laboratory supervisors and managers, who have only a limited knowledge of computer programming, to the use of a relational database for the management of laboratory data. No previous knowledge of a programming language i...

Nanolithography and Patterning Techniques in Microelectronics examines the new range of techniques that have made it possible to develop complex patterns at the nanoscale and explores their industrial applications. This book considers ways of forming and ...

These proceedings of the "Second International Conference on Nanomaterials by Severe Plastic Deformation" review the enormous scientific avalanche that has been developing in the field over recent years. A valuable resource for any scientist and engineer ...

One-dimensional, nanostructured ceramics for healthcare, energy and sensor applications / S. Ramakrishna, Ramakrishnan Ramaseshan, Rajan Jose, Liao Susan, Barhate Rajendrakumar Suresh, Raj Bordia -- What makes a good TiOb2s photocatalyst? / Lars Osterlund...