Introductory Modern Algebra
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Introductory Modern Algebra
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Author : Elwyn H. Davis
language : en
Publisher: Merrill Publishing Company
Release Date : 1974-01-01
Introductory Modern Algebra written by Elwyn H. Davis and has been published by Merrill Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Algebra categories.
Introduction To Modern Algebra
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Author : Neal Henry McCoy
language : en
Publisher: WCB/McGraw-Hill
Release Date : 1992
Introduction To Modern Algebra written by Neal Henry McCoy and has been published by WCB/McGraw-Hill this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
Introduction To Modern Algebra And Its Applications
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Author : Nadiya Gubareni
language : en
Publisher: CRC Press
Release Date : 2021-06-23
Introduction To Modern Algebra And Its Applications written by Nadiya Gubareni and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Mathematics categories.
The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory of numbers, groups, rings, fields and finite dimensional algebras. The book also provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. In particular, it considers algorithm RSA, secret sharing algorithms, Diffie-Hellman Scheme and ElGamal cryptosystem based on discrete logarithm problem. It also presents Buchberger’s algorithm which is one of the important algorithms for constructing Gröbner basis. Key Features: Covers all major topics of classical theory of modern abstract algebra such as groups, rings and fields and their applications. In addition it provides the introduction to the number theory, theory of finite fields, finite dimensional algebras and their applications. Provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. Presents numerous examples illustrating the theory and applications. It is also filled with a number of exercises of various difficulty. Describes in detail the construction of the Cayley-Dickson construction for finite dimensional algebras, in particular, algebras of quaternions and octonions and gives their applications in the number theory and computer graphics.
Modern Algebra
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Author : John R. Durbin
language : en
Publisher:
Release Date : 1985
Modern Algebra written by John R. Durbin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Algebra, Abstract categories.
Introduction To Modern Algebra
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Author : NEAL H. McCOY
language : en
Publisher:
Release Date : 1968
Introduction To Modern Algebra written by NEAL H. McCOY and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.
Introductory Modern Algebra
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Author : Saul Stahl
language : en
Publisher: Wiley
Release Date : 2013-08-19
Introductory Modern Algebra written by Saul Stahl and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-19 with Mathematics categories.
Praise for the First Edition "Stahl offers the solvability of equations from the historical point of view...one of the best books available to support a one-semester introduction to abstract algebra." —CHOICE Introductory Modern Algebra: A Historical Approach, Second Edition presents the evolution of algebra and provides readers with the opportunity to view modern algebra as a consistent movement from concrete problems to abstract principles. With a few pertinent excerpts from the writings of some of the greatest mathematicians, the Second Edition uniquely facilitates the understanding of pivotal algebraic ideas. The author provides a clear, precise, and accessible introduction to modern algebra and also helps to develop a more immediate and well-grounded understanding of how equations lead to permutation groups and what those groups can inform us about such diverse items as multivariate functions and the 15-puzzle. Featuring new sections on topics such as group homomorphisms, the RSA algorithm, complex conjugation, the factorization of real polynomials, and the fundamental theorem of algebra, the Second Edition also includes: An in-depth explanation of the principles and practices of modern algebra in terms of the historical development from the Renaissance solution of the cubic equation to Dedekind's ideals Historical discussions integrated with the development of modern and abstract algebra in addition to many new explicit statements of theorems, definitions, and terminology A new appendix on logic and proofs, sets, functions, and equivalence relations Over 1,000 new examples and multi-level exercises at the end of each section and chapter as well as updated chapter summaries Introductory Modern Algebra: A Historical Approach, Second Edition is an excellent textbook for upper-undergraduate courses in modern and abstract algebra.
Modern Algebra An Introduction 5th Ed
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Author : John R. Durbin
language : en
Publisher: John Wiley & Sons
Release Date : 2008-12
Modern Algebra An Introduction 5th Ed written by John R. Durbin 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 2008-12 with Algebra, Abstract categories.
This book presents an introduction to modern (abstract) algebra covering the basic ideas of groups, rings, and fields. The first part of the book treats ideas that are important but neither abstract nor complicated, and provides practice in handling mathematical statements - their meaning, quantification, negation, and proof. This edition features a new section to give more substance to the introduction to Galois theory, updated lists of references and discussions of topics such as Fermat's Last Theorem and the finite simple groups.· Mappings and Operations· Introduction to Groups· Equivalence, Congruence, Divisibility· Groups· Group Homomorphisms· Introduction to Rings· The Familiar Number Systems· Polynomials· Quotient Rings· Field Extensions· Galois Theory· Geometric Constructions· Applications of Permutation Groups· Symmetry· Cryptography and Algebraic Coding· Lattices and Boolean Algebras
Modern Algebra
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Author : Ian Connell
language : en
Publisher: North-Holland
Release Date : 1982
Modern Algebra written by Ian Connell and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
A Book Of Abstract Algebra
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Author : Charles C Pinter
language : en
Publisher: Courier Corporation
Release Date : 2010-01-14
A Book Of Abstract Algebra written by Charles C Pinter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-14 with Mathematics categories.
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.
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.