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Abstract Algebra: Tensor Products

Mathematics
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Book Synopsis Abstract Algebra: Tensor Products by : N.B. Singh

Download or read book Abstract Algebra: Tensor Products written by N.B. Singh. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: "Abstract Algebra: Tensor Products" provides a comprehensive exploration of tensor products within the framework of abstract algebra. Beginning with foundational definitions and universal properties, the book progresses to elucidate their applications across diverse algebraic structures such as modules, vector spaces, and rings. Emphasizing clarity and depth, it navigates through advanced topics including categorical perspectives, functorial properties, and their relevance in fields like quantum mechanics and topology. Through numerous examples, and theoretical insights, this book equips readers with the tools to understand and leverage tensor products as powerful algebraic tools, fostering a deeper appreciation for their role in modern mathematics.

An Introduction to C*-Algebras and the Classification Program

2020-12-15 Mathematics
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Release : 2020-12-15
Genre : Mathematics
Kind : eBook
Book Rating : 658/5 ( reviews)

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Book Synopsis An Introduction to C*-Algebras and the Classification Program by : Karen R. Strung

Download or read book An Introduction to C*-Algebras and the Classification Program written by Karen R. Strung. This book was released on 2020-12-15. Available in PDF, EPUB and Kindle. Book excerpt: This book is directed towards graduate students that wish to start from the basic theory of C*-algebras and advance to an overview of some of the most spectacular results concerning the structure of nuclear C*-algebras. The text is divided into three parts. First, elementary notions, classical theorems and constructions are developed. Then, essential examples in the theory, such as crossed products and the class of quasidiagonal C*-algebras, are examined, and finally, the Elliott invariant, the Cuntz semigroup, and the Jiang-Su algebra are defined. It is shown how these objects have played a fundamental role in understanding the fine structure of nuclear C*-algebras. To help understanding the theory, plenty of examples, treated in detail, are included. This volume will also be valuable to researchers in the area as a reference guide. It contains an extensive reference list to guide readers that wish to travel further.

Tensor Analysis on Manifolds

2012-04-26 Mathematics
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Release : 2012-04-26
Genre : Mathematics
Kind : eBook
Book Rating : 239/5 ( reviews)

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Book Synopsis Tensor Analysis on Manifolds by : Richard L. Bishop

Download or read book Tensor Analysis on Manifolds written by Richard L. Bishop. This book was released on 2012-04-26. Available in PDF, EPUB and Kindle. Book excerpt: DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div

Central Simple Algebras and Galois Cohomology

2017-08-10 Mathematics
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Release : 2017-08-10
Genre : Mathematics
Kind : eBook
Book Rating : 378/5 ( reviews)

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Book Synopsis Central Simple Algebras and Galois Cohomology by : Philippe Gille

Download or read book Central Simple Algebras and Galois Cohomology written by Philippe Gille. This book was released on 2017-08-10. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results.

An Introduction to Linear Algebra and Tensors

2012-07-25 Mathematics
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Release : 2012-07-25
Genre : Mathematics
Kind : eBook
Book Rating : 785/5 ( reviews)

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Book Synopsis An Introduction to Linear Algebra and Tensors by : M. A. Akivis

Download or read book An Introduction to Linear Algebra and Tensors written by M. A. Akivis. This book was released on 2012-07-25. Available in PDF, EPUB and Kindle. Book excerpt: Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.

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