Random Tensors, Gurau, Razvan Gheorghe

Автор: Renteln
Название: Manifolds, Tensors, and Forms
ISBN: 1107042194 ISBN-13(EAN): 9781107042193
Издательство: Cambridge Academ
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Цена: 10771.00 р.
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Описание: Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book`s clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It features over 250 detailed exercises and discusses a variety of applications.

Автор: Emil De Souza Sanchez Filho
Название: Tensor Calculus for Engineers and Physicists
ISBN: 3319315196 ISBN-13(EAN): 9783319315195
Издательство: Springer
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Цена: 13974.00 р.
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Описание:

This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces.

The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors.

Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.

Автор: Hackbusch
Название: Tensor Spaces and Numerical Tensor Calculus
ISBN: 3642280269 ISBN-13(EAN): 9783642280269
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. ?

Автор: Wei, Yimin
Название: Theory and Computation of Tensors
ISBN: 0128039531 ISBN-13(EAN): 9780128039533
Издательство: Elsevier Science
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Цена: 8757.00 р.
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Описание:

Theory and Computation of Tensors: Multi-Dimensional Arrays investigates theories and computations of tensors to broaden perspectives on matrices. Data in the Big Data Era is not only growing larger but also becoming much more complicated. Tensors (multi-dimensional arrays) arise naturally from many engineering or scientific disciplines because they can represent multi-relational data or nonlinear relationships.

Автор: Habib Ammari; Hyeonbae Kang
Название: Polarization and Moment Tensors
ISBN: 1441924493 ISBN-13(EAN): 9781441924490
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. By augmenting the theory with interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material.