Matrix Calculus, Kronecker Product, and Tensor Product : A Practical Approach to Linear Algebra, Multilinear Algebra, and Tensor Calculus, with Software Implementations by Yorick Hardy and W. -H. Steeb (2019, Hardcover)

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Matrix Calculus, Kronecker Product and Tensor Product: A Practical Approach to Linear Algebra, Multilinear Algebra and Tensor Calculus with Software I (Hardback or Cased Book). Format: Hardback or Cased Book.

About this product

Product Identifiers

PublisherWorld Industries Scientific Publishing Co Pte LTD
ISBN-109811202516
ISBN-139789811202513
eBay Product ID (ePID)7038691405

Product Key Features

Number of PagesXiv, 373 Pages
LanguageEnglish
Publication NameMatrix Calculus, Kronecker Product, and Tensor Product : A Practical Approach to Linear Algebra, Multilinear Algebra, and Tensor Calculus, with Software Implementations
SubjectMatrices
Publication Year2019
TypeTextbook
AuthorYorick Hardy, W. -H. Steeb
Subject AreaMathematics
FormatHardcover

Dimensions

Item Weight0 Oz

Additional Product Features

Edition Number3
LCCN2019-003179
Dewey Edition23
IllustratedYes
Dewey Decimal512.9/434
SynopsisOur self-contained volume provides an accessible introduction to linear and multilinear algebra as well as tensor calculus. Besides the standard techniques for linear algebra, multilinear algebra and tensor calculus, many advanced topics are included where emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, Hopf algebra, Yang-Baxter relations, computer graphics, fractals, quantum mechanics, quantum computing, entanglement, teleportation and partial trace. All these fields are covered comprehensively. The volume contains many detailed worked-out examples. Each chapter includes useful exercises and supplementary problems. In the last chapter, software implementations are provided for different concepts. The volume is well suited for pure and applied mathematicians as well as theoretical physicists and engineers. New topics added to the third edition are: mutually unbiased bases, Cayley transform, spectral theorem, nonnormal matrices, G teaux derivatives and matrices, trace and partial trace, spin coherent states, Clebsch-Gordan series, entanglement, hyperdeterminant, tensor eigenvalue problem, Carleman matrix and Bell matrix, tensor fields and Ricci tensors, and software implementations., Our self-contained volume provides an accessible introduction to linear and multilinear algebra as well as tensor calculus. Besides the standard techniques for linear algebra, multilinear algebra and tensor calculus, many advanced topics are included where emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, Hopf algebra, Yang-Baxter relations, computer graphics, fractals, quantum mechanics, quantum computing, entanglement, teleportation and partial trace. All these fields are covered comprehensively.The volume contains many detailed worked-out examples. Each chapter includes useful exercises and supplementary problems. In the last chapter, software implementations are provided for different concepts. The volume is well suited for pure and applied mathematicians as well as theoretical physicists and engineers.New topics added to the third edition are: mutually unbiased bases, Cayley transform, spectral theorem, nonnormal matrices, G teaux derivatives and matrices, trace and partial trace, spin coherent states, Clebsch-Gordan series, entanglement, hyperdeterminant, tensor eigenvalue problem, Carleman matrix and Bell matrix, tensor fields and Ricci tensors, and software implementations., Our self-contained volume provides an accessible introduction to linear and multilinear algebra as well as tensor calculus. Besides the standard techniques for linear algebra, multilinear algebra and tensor calculus, many advanced topics are included where emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, Hopf algebra, Yang-Baxter relations, computer graphics, fractals, quantum mechanics, quantum computing, entanglement, teleportation and partial trace. All these fields are covered comprehensively.The volume contains many detailed worked-out examples. Each chapter includes useful exercises and supplementary problems. In the last chapter, software implementations are provided for different concepts. The volume is well suited for pure and applied mathematicians as well as theoretical physicists and engineers.New topics added to the third edition are: mutually unbiased bases, Cayley transform, spectral theorem, nonnormal matrices, G'teaux derivatives and matrices, trace and partial trace, spin coherent states, Clebsch-Gordan series, entanglement, hyperdeterminant, tensor eigenvalue problem, Carleman matrix and Bell matrix, tensor fields and Ricci tensors, and software implementations.
LC Classification NumberQA188.S662 2019
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