A Physicists Introduction To Algebraic Structures
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A Physicist S Introduction To Algebraic Structures
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Author : Palash B. Pal
language : en
Publisher: Cambridge University Press
Release Date : 2024-06-30
A Physicist S Introduction To Algebraic Structures written by Palash B. Pal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-30 with Science categories.
An algebraic structure consists of a set of elements, with some rule of combining them, or some special property of selected subsets of the entire set. Many algebraic structures, such as vector space and group, come to everyday use of a modern physicist. Catering to the needs of graduate students and researchers in the field of mathematical physics and theoretical physics, this comprehensive and valuable text discusses the essential concepts of algebraic structures such as metric space, group, modular numbers, algebraic integers, field, vector space, Boolean algebra, measure space and Lebesgue integral. Important topics including finite and infinite dimensional vector spaces, finite groups and their representations, unitary groups and their representations and representations of the Lorentz group, homotopy and homology of topological spaces are covered extensively. Rich pedagogy includes various problems interspersed throughout the book for better understanding of concepts.
A Physicists Introduction To Algebraic Structures
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Author : Palash B. Pal
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-23
A Physicists Introduction To Algebraic Structures written by Palash B. Pal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-23 with Mathematics categories.
Algebraic structures including vector space, groups, topological spaces and more, all covered in one volume, showing the mutual connections.
An Introduction To Algebraic Structures
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Author : Joseph Landin
language : en
Publisher: Courier Corporation
Release Date : 2012-08-29
An Introduction To Algebraic Structures written by Joseph Landin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-29 with Mathematics categories.
This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
The Structures Of Mathematical Physics
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Author : Steven P. Starkovich
language : en
Publisher: Springer Nature
Release Date : 2021-07-21
The Structures Of Mathematical Physics written by Steven P. Starkovich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-21 with Science categories.
This textbook serves as an introduction to groups, rings, fields, vector and tensor spaces, algebras, topological spaces, differentiable manifolds and Lie groups --- mathematical structures which are foundational to modern theoretical physics. It is aimed primarily at undergraduate students in physics and mathematics with no previous background in these topics. Applications to physics --- such as the metric tensor of special relativity, the symplectic structures associated with Hamilton's equations and the Generalized Stokes's Theorem --- appear at appropriate places in the text. Worked examples, end-of-chapter problems (many with hints and some with answers) and guides to further reading make this an excellent book for self-study. Upon completing this book the reader will be well prepared to delve more deeply into advanced texts and specialized monographs in theoretical physics or mathematics.
Algebraic Structures And Applications
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Author : Sergei Silvestrov
language : en
Publisher: Springer Nature
Release Date : 2020-06-18
Algebraic Structures And Applications written by Sergei Silvestrov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-18 with Mathematics categories.
This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.
Algebraic Structure Of String Field Theory
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Author : Martin Doubek
language : en
Publisher: Springer Nature
Release Date : 2020-11-22
Algebraic Structure Of String Field Theory written by Martin Doubek and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-22 with Science categories.
This book gives a modern presentation of modular operands and their role in string field theory. The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view of homotopy algebras, including A-infinity algebras, loop homotopy (quantum L-infinity) and IBL-infinity algebras governing its structure. Within this framework, the covariant construction of a string field theory naturally emerges as composition of two morphisms of particular odd modular operads. This part is intended primarily for researchers and graduate students who are interested in applications of higher algebraic structures to strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy algebras in a broader context, which should appeal also to mathematicians who are not familiar with string theory.
Some Modern Mathematics For Physicists And Other Outsiders
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Author : Paul Roman
language : en
Publisher: Elsevier
Release Date : 2014-05-09
Some Modern Mathematics For Physicists And Other Outsiders written by Paul Roman and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.
Some Modern Mathematics for Physicists and Other Outsiders: An Introduction to Algebra, Topology, and Functional Analysis, Volume 1 focuses on the operations, principles, methodologies, and approaches employed in algebra, topology, and functional analysis. The publication first offers information on sets, maps, and algebraic composition laws and systems. Discussions focus on morphisms of algebraic systems, sequences and families, cardinal numbers, ordered sets and maps, equivalence relations and maps, composite functions and inverses, operations with sets, and relations in sets. The text then ponders on special algebraic systems, topological spaces, and topological spaces with special properties. Topics include complete metric spaces, compact spaces, separable and connected spaces, homeomorphism and isometry, convergence, continuity, general structure of topological spaces, rings and fields, linear spaces, linear algebras, and nonassociative algebras. The book elaborates on the theory of integration and measure spaces, including measurable spaces, general properties of the integral, and measureable functions. The publication is a valuable reference for theoretical physicists, research engineers, and scientists who are concerned with structural problems.
Quantized Algebra And Physics
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Author : Chengming Bai
language : en
Publisher: World Scientific
Release Date : 2012
Quantized Algebra And Physics written by Chengming Bai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
A note on Brauer-Schur functions / Kazuya Aokage, Hiroshi Mizukawa and Hiro-Fumi Yamada -- [symbol]-operators on associative algebras, associative Yang-Baxter equations and dendriform algebras / Chengming Bai, Li Guo and Xiang Ni -- Irreducible Wakimoto-like modules for the affine Lie algebra [symbol] / Yun Gao and Ziting Zeng -- Verma modules over generic exp-polynomial Lie algebras / Xiangqian Guo, Xuewen Liu and Kaiming Zhao -- A formal infinite dimensional Cauchy problem and its relation to integrable hierarchies / G.F. Helminck, E.A. Panasenko and A.O. Sergeeva -- Partially harmonic tensors and quantized Schur-Weyl duality / Jun Hu and Zhankui Xiao -- Quantum entanglement and approximation by positive matrices / Xiaofen Huang and Naihuan Jing -- 2-partitions of root systems / Bin Li, William Wong and Hechun Zhang -- A survey on weak Hopf algebras / Fang Li and Qinxiu Sun -- The equitable presentation for the quantum algebra Uq(f(k)) / Yan Pan, Meiling Zhu and Libin Li
Geometric Algebra And Applications To Physics
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Author : Venzo de Sabbata
language : en
Publisher: CRC Press
Release Date : 2006-12-07
Geometric Algebra And Applications To Physics written by Venzo de Sabbata and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-07 with Mathematics categories.
Bringing geometric algebra to the mainstream of physics pedagogy, Geometric Algebra and Applications to Physics not only presents geometric algebra as a discipline within mathematical physics, but the book also shows how geometric algebra can be applied to numerous fundamental problems in physics, especially in experimental situations. This
Logic And Algebraic Structures In Quantum Computing
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Author : Jennifer Chubb
language : en
Publisher: Cambridge University Press
Release Date : 2016-02-26
Logic And Algebraic Structures In Quantum Computing written by Jennifer Chubb and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-26 with Computers categories.
Experts in the field explore the connections across physics, quantum logic, and quantum computing.