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From Algebraic Structures to Tensors

presentation of various concepts and methods, starting from fundamental algebraic structures to advanced tensor-based applications, including recently;

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Physical Components of Tensors

structures imposed on them by the notions of inner products, norms, and metrics Focuses on the main algebraic operations for vectors and tensors and;

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Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor

A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry;

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Tensors

Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a;

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Ordered Algebraic Structures and Related Topics

This volume contains the proceedings of the international conference Ordered Algebraic Structures and Related Topics'', held from October;

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Tensors

perspective to the use of tensors in these areas. It begins with an introduction to the geometry of tensors and provides geometric expositions of the;

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Algebraic Modeling of Topological and Computational Structures and Applications

This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more;

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Abstract Algebra

A Discovery-Based Approach to Learning about Algebraic Structures Abstract Algebra: Structures and Applications helps students;

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Stochastic Processes and Applications

algebraic structures, focusing on mathematical models, structures, concepts, problems and computational methods and algorithms important in modern;

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Irreducible Cartesian Tensors

Clebsch-Gordan coefficients. After this, readers from the physical sciences will find generalizations of the results to spinors and applications;

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Theory and Computation of Tensors

Theory and Computation of Tensors: Multi-Dimensional Arrays investigates theories and computations of tensors to broaden perspectives;

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Numbers and Symmetry

provides the student with a visual introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate;

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Numbers and Symmetry

provides the student with a visual introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate;

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Real Algebraic Geometry and Topology

. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, algebraic structures, topology;

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Tool and Object

relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the;

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A Physicist's Introduction to Algebraic Structures

entire set. Many algebraic structures, such as vector space and group, come to everyday use of a modern physicist. Catering to the needs;

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Abstract Algebra

interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic;

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From Vectors to Tensors

This textbook deals with tensors that are treated as vectors. Coverage details such new tensor conce;...

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Tensor Analysis

by side and offers easy access to techniques in the field by focusing on algorithms in index notation. It explains the required algebraic;

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Algebraic Structures In Automata And Database Theory

The book is devoted to the investigation of algebraic structure. The emphasis is on the algebraic nature of real automation, which appears;

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Algebraic and Geometric Methods in Discrete Mathematics

; applications of representation theory to voting theory and game theory; a study of fixed points of tensors; and exponential random graph models from;

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Susceptibility Tensors for Nonlinear Optics

Susceptibility Tensors for Nonlinear Optics is a unique and invaluable reference book with accompanying software. Starting from basic;

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Collected Works in Ordered Structures and Mathematical Logic

is responsible for some of the most influential research in number theory, mathematical logic, and algebraic structures. Together, these volumes include;

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Collected Works in Ordered Structures and Mathematical Logic

is responsible for some of the most influential research in number theory, mathematical logic, and algebraic structures. Together, these volumes include;

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Tensors for Physics

of material properties. The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to;

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Riemann-Roch Spaces and Computation

The book focuses on the educational perspective of Riemann-Roch spaces and the computation of algebraic structures connected to the Riemann;

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