An Introduction to Essential Algebraic Structures

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118459822
Total Pages : 240 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis An Introduction to Essential Algebraic Structures by : Martyn R. Dixon

Download or read book An Introduction to Essential Algebraic Structures written by Martyn R. Dixon and published by John Wiley & Sons. This book was released on 2014-11-24 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reader-friendly introduction to modern algebra with important examples from various areas of mathematics Featuring a clear and concise approach, An Introduction to Essential Algebraic Structures presents an integrated approach to basic concepts of modern algebra and highlights topics that play a central role in various branches of mathematics. The authors discuss key topics of abstract and modern algebra including sets, number systems, groups, rings, and fields. The book begins with an exposition of the elements of set theory and moves on to cover the main ideas and branches of abstract algebra. In addition, the book includes: Numerous examples throughout to deepen readers’ knowledge of the presented material An exercise set after each chapter section in an effort to build a deeper understanding of the subject and improve knowledge retention Hints and answers to select exercises at the end of the book A supplementary website with an Instructors Solutions manual An Introduction to Essential Algebraic Structures is an excellent textbook for introductory courses in abstract algebra as well as an ideal reference for anyone who would like to be more familiar with the basic topics of abstract algebra.

An Introduction to Algebraic Structures

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486150410
Total Pages : 275 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Introduction to Algebraic Structures by : Joseph Landin

Download or read book An Introduction to Algebraic Structures written by Joseph Landin and published by Courier Corporation. This book was released on 2012-08-29 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Physicists Introduction to Algebraic Structures

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1108492207
Total Pages : 717 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis A Physicists Introduction to Algebraic Structures by : Palash B. Pal

Download or read book A Physicists Introduction to Algebraic Structures written by Palash B. Pal and published by Cambridge University Press. This book was released on 2019-05-23 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic structures including vector space, groups, topological spaces and more, all covered in one volume, showing the mutual connections.

Fundamental Structures of Algebra and Discrete Mathematics

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Publisher : John Wiley & Sons
ISBN 13 : 1118031431
Total Pages : 362 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Fundamental Structures of Algebra and Discrete Mathematics by : Stephan Foldes

Download or read book Fundamental Structures of Algebra and Discrete Mathematics written by Stephan Foldes and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples.

An Introduction to Algebraic Structures

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Publisher :
ISBN 13 : 9780582352186
Total Pages : 136 pages
Book Rating : 4.3/5 (521 download)

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Book Synopsis An Introduction to Algebraic Structures by : F. J. Budden

Download or read book An Introduction to Algebraic Structures written by F. J. Budden and published by . This book was released on 1975 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Algebraic Structures

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Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to Algebraic Structures by : Azriel Rosenfeld

Download or read book An Introduction to Algebraic Structures written by Azriel Rosenfeld and published by . This book was released on 1968 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Formal Moduli of Algebraic Structures

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Author :
Publisher : Springer
ISBN 13 : 3540385320
Total Pages : 165 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Formal Moduli of Algebraic Structures by : O. A. Laudal

Download or read book Formal Moduli of Algebraic Structures written by O. A. Laudal and published by Springer. This book was released on 2006-11-15 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Structures and Applications

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Publisher : Springer
ISBN 13 : 9783030418526
Total Pages : 0 pages
Book Rating : 4.4/5 (185 download)

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Book Synopsis Algebraic Structures and Applications by : Sergei Silvestrov

Download or read book Algebraic Structures and Applications written by Sergei Silvestrov and published by Springer. This book was released on 2021-06-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Abstract Algebra

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Publisher : Springer
ISBN 13 : 3319044982
Total Pages : 194 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Abstract Algebra by : David R. Finston

Download or read book Abstract Algebra written by David R. Finston and published by Springer. This book was released on 2014-08-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numbers and Symmetry

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Publisher : CRC Press
ISBN 13 : 1000153371
Total Pages : 276 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Numbers and Symmetry by : Bernard L. Johnston

Download or read book Numbers and Symmetry written by Bernard L. Johnston and published by CRC Press. This book was released on 2020-07-25 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents modern algebra from the ground up using numbers and symmetry. The idea of a ring and of a field are introduced in the context of concrete number systems. Groups arise from considering transformations of simple geometric objects. The analysis of symmetry provides the student with a visual introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate course in modern algebra, it provides a gentle introduction to the subject by allowing students to see the ideas at work in accessible examples, rather than plunging them immediately into a sea of formalism. The student is involved at once with interesting algebraic structures, such as the Gaussian integers and the various rings of integers modulo n, and is encouraged to take the time to explore and become familiar with those structures. In terms of classical algebraic structures, the text divides roughly into three parts:

Elementary Overview Of Mathematical Structures, An: Algebra, Topology And Categories

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Publisher : World Scientific
ISBN 13 : 9811220336
Total Pages : 393 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Elementary Overview Of Mathematical Structures, An: Algebra, Topology And Categories by : Marco Grandis

Download or read book Elementary Overview Of Mathematical Structures, An: Algebra, Topology And Categories written by Marco Grandis and published by World Scientific. This book was released on 2020-08-12 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The presentation is modeled on the discursive style of the Bourbaki collective, and the coverage of topics is rich and varied. Grandis has provided a large selection of exercises and has sprinkled orienting comments throughout. For an undergraduate library where strong students seek an overview of a significant portion of mathematics, this would be an excellent acquisition. Summing up: Recommended.'CHOICESince the last century, a large part of Mathematics is concerned with the study of mathematical structures, from groups to fields and vector spaces, from lattices to Boolean algebras, from metric spaces to topological spaces, from topological groups to Banach spaces.More recently, these structured sets and their transformations have been assembled in higher structures, called categories.We want to give a structural overview of these topics, where the basic facts of the different theories are unified through the 'universal properties' that they satisfy, and their particularities stand out, perhaps even more.This book can be used as a textbook for undergraduate studies and for self-study. It can provide students of Mathematics with a unified perspective of subjects which are often kept apart. It is also addressed to students and researchers of disciplines having strong interactions with Mathematics, like Physics and Chemistry, Statistics, Computer Science, Engineering.

A Book of Abstract Algebra

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Publisher : Courier Corporation
ISBN 13 : 0486474178
Total Pages : 402 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A Book of Abstract Algebra by : Charles C Pinter

Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Numbers, Rings, and Fields

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Publisher :
ISBN 13 : 9781791663964
Total Pages : 296 pages
Book Rating : 4.6/5 (639 download)

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Book Synopsis Numbers, Rings, and Fields by : Angel Victor Oneto

Download or read book Numbers, Rings, and Fields written by Angel Victor Oneto and published by . This book was released on 2018-12-18 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful both for beginners and advanced students, this rigorous introduction to numbers and algebraic structures provides a solid foundation that's essential for higher studies. The reader, after reviewing set theory and the axiomatic of real numbers (the very foundation of the mathematical language) will progress through residual arithmetic and other fundamental subjects, to arrive at the understanding of the ubiquity of the structures of rings and fields-algebraic structures that provide unity and economy of thought. Equations, polynomials, quaternions, and octonions, complete the contents of this outstanding work, which combines rigor and clarity.

N-Algebraic Structures

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Publisher : Infinite Study
ISBN 13 : 1931233055
Total Pages : 209 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis N-Algebraic Structures by : W. B. Vasantha Kandasamy

Download or read book N-Algebraic Structures written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2005-01-01 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, for the first time we introduce the notions of N-groups, N-semigroups, N-loops and N-groupoids. We also define a mixed N-algebraic structure. The book is organized into six chapters. The first chapter gives the basic notions of S-semigroups, S-groupoids and S-loops thereby making the book self-contained. Chapter two introduces N-groups and their Smarandache analogues. In chapter three, N-loops and Smarandache N-loops are introduced and analyzed. Chapter four defines N-groupoids and S-N-groupoids. Since the N-semigroup structures are sandwiched between groups and groupoids, the study can be carried out without any difficulty. Mixed N-algebraic structures and S-mixed algebraic structures are given in chapter five. Some problems are suggested in chapter six. It is pertinent to mention that several exercises and problems (Some in the form of proof to the theorems are given in all the chapters.) A reader who attempts to solve them will certainly gain a sound knowledge about these concepts. We have given 50 problems for the reader to solve in chapter 6. The main aim of this book is to introduce new concepts and explain them with examples there by encouraging young mathematics to pursue research in this direction. Several theorems based on the definition can be easily proved with simple modification. Innovative readers can take up that job. Also these notions find their applications in automaton theory and coloring problems. The N-semigroups and N-automaton can be applied to construct finite machines, which can perform multitasks, so their capability would be much higher than the usual automaton of finite machines constructed. We have suggested a list of references for further reading.

Fundamentals of Advanced Mathematics 1

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Publisher : Elsevier
ISBN 13 : 0081021127
Total Pages : 268 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Fundamentals of Advanced Mathematics 1 by : Henri Bourles

Download or read book Fundamentals of Advanced Mathematics 1 written by Henri Bourles and published by Elsevier. This book was released on 2017-07-10 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations). The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients. Part of the New Mathematical Methods, Systems, and Applications series Presents the notions, results, and proofs necessary to understand and master the various topics Provides a unified notation, making the task easier for the reader. Includes several summaries of mathematics for engineers

A Physicist's Introduction to Algebraic Structures

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9781108729116
Total Pages : pages
Book Rating : 4.7/5 (291 download)

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Book Synopsis A Physicist's Introduction to Algebraic Structures by : Palash B. Pal

Download or read book A Physicist's Introduction to Algebraic Structures written by Palash B. Pal and published by Cambridge University Press. This book was released on 2019-06-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Algebra and the Rise of Mathematical Structures

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034879172
Total Pages : 463 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Modern Algebra and the Rise of Mathematical Structures by : Leo Corry

Download or read book Modern Algebra and the Rise of Mathematical Structures written by Leo Corry and published by Birkhäuser. This book was released on 2012-12-06 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.