An Introduction To Essential Algebraic Structures
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An Introduction To Essential Algebraic Structures
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Author : Martyn R. Dixon
language : en
Publisher: John Wiley & Sons
Release Date : 2014-11-24
An Introduction To Essential Algebraic Structures written by Martyn R. Dixon and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-24 with Mathematics categories.
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.
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.
An Introduction To Algebraic Structures
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Author : F. J. Budden
language : en
Publisher:
Release Date : 1975
An Introduction To Algebraic Structures written by F. J. Budden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Algebra categories.
An Introduction To Algebraic Structures
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Author : Azriel Rosenfeld
language : en
Publisher:
Release Date : 1968
An Introduction To Algebraic Structures written by Azriel Rosenfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.
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.
N Algebraic Structures
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2005-01-01
N Algebraic Structures written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.
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.
Numbers Rings And Fields
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Author : Angel Victor Oneto
language : en
Publisher:
Release Date : 2018-12-18
Numbers Rings And Fields written by Angel Victor Oneto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-18 with categories.
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.
Numbers And Symmetry
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Author : Bernard L. Johnston
language : en
Publisher: CRC Press
Release Date : 2020-07-25
Numbers And Symmetry written by Bernard L. Johnston and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-25 with Mathematics categories.
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:
Fundamental Structures Of Algebra And Discrete Mathematics
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Author : Stephan Foldes
language : en
Publisher: John Wiley & Sons
Release Date : 1994-03-31
Fundamental Structures Of Algebra And Discrete Mathematics written by Stephan Foldes and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-31 with Mathematics categories.
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.
Elementary Overview Of Mathematical Structures An Algebra Topology And Categories
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Author : Marco Grandis
language : en
Publisher: World Scientific
Release Date : 2020-08-12
Elementary Overview Of Mathematical Structures An Algebra Topology And Categories written by Marco Grandis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-12 with Mathematics categories.
'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.