Algebraic Structures And Applications

Author : Sergei Silvestrov,Anatoliy Malyarenko,Milica Rančić
Publisher : Springer Nature
Page : 976 pages
File Size : 45,5 Mb
Release : 2020-06-18
Category : Mathematics
ISBN : 9783030418502

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Algebraic Structures and Applications by Sergei Silvestrov,Anatoliy Malyarenko,Milica Rančić Pdf

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.

Author : Stephen Lovett
Publisher : CRC Press
Page : 720 pages
File Size : 55,9 Mb
Release : 2015-07-13
Category : Mathematics
ISBN : 9781482248913

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Abstract Algebra by Stephen Lovett Pdf

A Discovery-Based Approach to Learning about Algebraic Structures Abstract Algebra: Structures and Applications helps students understand the abstraction of modern algebra. It emphasizes the more general concept of an algebraic structure while simultaneously covering applications. The text can be used in a variety of courses, from a one-semester introductory course to a full two-semester sequence. The book presents the core topics of structures in a consistent order: Definition of structure Motivation Examples General properties Important objects Description Subobjects Morphisms Subclasses Quotient objects Action structures Applications The text uses the general concept of an algebraic structure as a unifying principle and introduces other algebraic structures besides the three standard ones (groups, rings, and fields). Examples, exercises, investigative projects, and entire sections illustrate how abstract algebra is applied to areas of science and other branches of mathematics. "Lovett (Wheaton College) takes readers through the variegated landscape of algebra, from elementary modular arithmetic through groups, semigroups, and monoids, past rings and fields and group actions, beyond modules and algebras, to Galois theory, multivariable polynomial rings, and Gröbner bases." Choice Reviewed: Recommended

Author : David R. Finston,Patrick J. Morandi
Publisher : Springer
Page : 194 pages
File Size : 54,8 Mb
Release : 2014-08-29
Category : Mathematics
ISBN : 9783319044989

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Abstract Algebra by David R. Finston,Patrick J. Morandi Pdf

This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences. Applications include: Identification numbers and modular arithmetic (linear) error-correcting codes, including cyclic codes ruler and compass constructions cryptography symmetry of patterns in the real plane Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.

Author : Jorge Martínez
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 55,5 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475736274

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Ordered Algebraic Structures by Jorge Martínez Pdf

From the 28th of February through the 3rd of March, 2001, the Department of Math ematics of the University of Florida hosted a conference on the many aspects of the field of Ordered Algebraic Structures. Officially, the title was "Conference on Lattice Ordered Groups and I-Rings", but its subject matter evolved beyond the limitations one might associate with such a label. This volume is officially the proceedings of that conference, although, likewise, it is more accurate to view it as a complement to that event. The conference was the fourth in wh at has turned into aseries of similar conferences, on Ordered Algebraic Structures, held in consecutive years. The first, held at the University of Florida in Spring, 1998, was a modest and informal affair. The fifth is in the final planning stages at this writing, for March 7-9, 2002, at Vanderbilt University. And although these events remain modest and reasonably informal, their scope has broadened, as they have succeeded in attracting mathematicians from other, related fields, as weIl as from more distant lands.

Author : W. Charles Holland
Publisher : CRC Press
Page : 214 pages
File Size : 43,9 Mb
Release : 2001-04-01
Category : Mathematics
ISBN : 9056993259

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Ordered Algebraic Structures by W. Charles Holland Pdf

This book is an outcome of the conference on ordered algebraic structures held at Nanjing. It covers a range of topics: lattice theory, ordered semi groups, partially ordered groups, totally ordered groups, lattice-ordered groups, and ordered fields.

Author : Jana, Chiranjibe,Senapati, Tapan,Pal, Madhumangal
Publisher : IGI Global
Page : 439 pages
File Size : 50,9 Mb
Release : 2019-10-25
Category : Mathematics
ISBN : 9781799801924

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Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures by Jana, Chiranjibe,Senapati, Tapan,Pal, Madhumangal Pdf

In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.

Author : Mahouton Norbert Hounkonnou,Melanija Mitrović,Mujahid Abbas,Madad Khan
Publisher : Springer Nature
Page : 600 pages
File Size : 40,5 Mb
Release : 2023-12-01
Category : Mathematics
ISBN : 9783031393341

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Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures by Mahouton Norbert Hounkonnou,Melanija Mitrović,Mujahid Abbas,Madad Khan Pdf

This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications—CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojša Stevanović (1962-2009). The papers cover new trends in the field, focusing on the growing development of applications in other disciplines. These aspects interplay in the same cadence, promoting interactions between theory and applications, and between nonassociative algebraic structures and various fields in pure and applied mathematics. In this volume, the reader will find novel studies on topics such as left almost algebras, logical algebras, groupoids and their generalizations, algebraic geometry and its relations with quiver algebras, enumerative combinatorics, representation theory, fuzzy logic and foundation theory, fuzzy algebraic structures, group amalgams, computer-aided development and transformation of the theory of nonassociative algebraic structures, and applications within natural sciences and engineering. Researchers and graduate students in algebraic structures and their applications can hugely benefit from this book, which can also interest any researcher exploring multi-disciplinarity and complexity in the scientific realm.

Author : David Finston,Patrick Morandi
Publisher : Unknown
Page : 200 pages
File Size : 40,8 Mb
Release : 2014-09-30
Category : Electronic
ISBN : 3319044990

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Abstract Algebra by David Finston,Patrick Morandi Pdf

Author : Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın
Publisher : Infinite Study
Page : 269 pages
File Size : 51,5 Mb
Release : 2022-08-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Algebraic Structures and Their Applications by Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın Pdf

Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.

Author : O. A. Laudal
Publisher : Springer
Page : 165 pages
File Size : 49,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540385325

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Formal Moduli of Algebraic Structures by O. A. Laudal Pdf

Author : B. Plotkin
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401108201

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Universal Algebra, Algebraic Logic, and Databases by B. Plotkin Pdf

Modern algebra, which not long ago seemed to be a science divorced from real life, now has numerous applications. Many fine algebraic structures are endowed with meaningful contents. Now and then practice suggests new and unexpected structures enriching algebra. This does not mean that algebra has become merely a tool for applications. Quite the contrary, it significantly benefits from the new connections. The present book is devoted to some algebraic aspects of the theory of databases. It consists of three parts. The first part contains information about universal algebra, algebraic logic is the subject of the second part, and the third one deals with databases. The algebraic material of the flI'St two parts serves the common purpose of applying algebra to databases. The book is intended for use by mathematicians, and mainly by algebraists, who realize the necessity to unite theory and practice. It is also addressed to programmers, engineers and all potential users of mathematics who want to construct their models with the help of algebra and logic. Nowadays, the majority of professional mathematicians work in close cooperation with representatives of applied sciences and even industrial technology. It is neces sary to develop an ability to see mathematics in different particular situations. One of the tasks of this book is to promote the acquisition of such skills.

Author : Badri Dvalishvili
Publisher : Elsevier
Page : 430 pages
File Size : 50,9 Mb
Release : 2005-01-20
Category : Mathematics
ISBN : 9780080459462

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Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications by Badri Dvalishvili Pdf

This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced and various relations between two topologies are analyzed on one and the same set; the theory of dimension of bitopological spaces and the theory of Baire bitopological spaces are constructed, and various classes of mappings of bitopological spaces are studied. The previously known results as well the results obtained in this monograph are applied in analysis, potential theory, general topology, and theory of ordered topological spaces. Moreover, a high level of modern knowledge of bitopological spaces theory has made it possible to introduce and study algebra of new type, the corresponding representation of which brings one to the special class of bitopological spaces. It is beyond any doubt that in the nearest future the areas of essential applications will be the theories of linear topological spaces and topological groups, algebraic and differential topologies, the homotopy theory, not to mention other fundamental areas of modern mathematics such as geometry, mathematical logic, the probability theory and many other areas, including those of applied nature. Key Features:- First monograph is "Generalized Lattices" * The first introduction to the theory of bitopological spaces and its applications.

Author : Cyril F. Gardiner
Publisher : Unknown
Page : 280 pages
File Size : 52,9 Mb
Release : 1986
Category : Algebra - Groups
ISBN : 0853127379

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Algebraic Structures by Cyril F. Gardiner Pdf

Author : Phillip Schultz,Cheryl E. Praeger,Robert P. Sullivan
Publisher : Unknown
Page : 190 pages
File Size : 54,6 Mb
Release : 1982
Category : Mathematics
ISBN : UOM:39015053926229

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Algebraic Structures and Applications by Phillip Schultz,Cheryl E. Praeger,Robert P. Sullivan Pdf

Despite the tendency of modern mathematics to fragment into ever more specialized fields, there is a long tradition of the concepts and techniques of one specialty being brought to bear on the outstanding problems of another, or on seemingly unrelated areas of the real world. Nowhere is this truer than in algebra, where in recent years we have seen brilliant applications to physics, chemistry, communications, and economics. The theme of the First Western Australian Conference on Algebra was algebra and its applications, and the papers presented there represent a diversity of topics, some concerned with problems internal to their own branch of algebra, others with applications to other parts of mathematics and science.

Author : Celine Carstensen,Benjamin Fine,Gerhard Rosenberger
Publisher : Walter de Gruyter
Page : 381 pages
File Size : 42,5 Mb
Release : 2011-02-28
Category : Mathematics
ISBN : 9783110250091

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Abstract Algebra by Celine Carstensen,Benjamin Fine,Gerhard Rosenberger Pdf

A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations; also contains topics that cannot be found elsewhere, and also offers a chapter on cryptography. End of chapter problems help readers with accessing the subjects. This work is co-published with the Heldermann Verlag, and within Heldermann's Sigma Series in Mathematics.