A Course In Abstract Algebra 5th Edition
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A Course In Abstract Algebra 5th Edition
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Author : Khanna V.K. & Bhamri S.K
language : en
Publisher: Vikas Publishing House
Release Date : 2016
A Course In Abstract Algebra 5th Edition written by Khanna V.K. & Bhamri S.K and has been published by Vikas Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
Designed for undergraduate and postgraduate students of mathematics, the book can also be used by those preparing for various competitive examinations. The text starts with a brief introduction to results from Set theory and Number theory. It then goes on to cover Groups, Rings, Fields and Linear Algebra. The topics under groups include subgroups, finitely generated abelian groups, group actions, solvable and nilpotent groups. The course in ring theory covers ideals, embedding of rings, Euclidean domains, PIDs, UFDs, polynomial rings, Noetherian (Artinian) rings. Topics of field include algebraic extensions, splitting fields, normal extensions, separable extensions, algebraically closed fields, Galois extensions, and construction by ruler and compass. The portion on linear algebra deals with vector spaces, linear transformations, Eigen spaces, diagonalizable operators, inner product spaces, dual spaces, operators on inner product spaces etc. The theory has been strongly supported by numerous examples and worked-out problems. There is also plenty of scope for the readers to try and solve problems on their own.New in this Edition• A full section on operators in inner product spaces.• Complete survey of finite groups of order up to 15 and Wedderburn theorem on finite division rings.• Addition of around one hundred new worked-out problems and examples.• Alternate and simpler proofs of some results.• A new section on quick recall of various useful results at the end of the book to facilitate the reader to get instant answers to tricky questions.
A First Course In Abstract Algebra
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Author : John B. Fraleigh
language : en
Publisher:
Release Date : 2004
A First Course In Abstract Algebra written by John B. Fraleigh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Algebra, Abstract categories.
Abstract Algebra
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Author : Abraham P. Hillman
language : en
Publisher: Brooks/Cole
Release Date : 1994
Abstract Algebra written by Abraham P. Hillman and has been published by Brooks/Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Algebra, Abstract categories.
Any topic in Abstract Algebra: A First Undergraduate Course, Fifth Edition, can be reached and covered effectively in a one-quarter or one-semester course. The structure of this book, the text material, and the problem sets have evolved from extensive class testing, accretion, and revision beginning in 1961.
A First Undergraduate Course In Abstract Algebra
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Author : Abraham P. Hillman
language : en
Publisher: Arden Shakespeare
Release Date : 1983-01-01
A First Undergraduate Course In Abstract Algebra written by Abraham P. Hillman and has been published by Arden Shakespeare this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-01 with Algebra, Abstract categories.
A Course On Abstract Algebra
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Author : Minking Eie
language : en
Publisher: World Scientific
Release Date : 2010
A Course On Abstract Algebra written by Minking Eie and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the author's lecture notes at the Department of Mathematics, National Chung Cheng University of Taiwan, it begins with a description of the algebraic structures of the ring and field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange's Theorem and Sylow's Theorems follow as applications of group theory. Ring theory forms the second part of abstract algebra, with the ring of polynomials and the matrix ring as basic examples. The general theory of ideals as well as maximal ideals in the rings of polynomials over the rational numbers are also discussed. The final part of the book focuses on field theory, field extensions and then Galois theory to illustrate the correspondence between the Galois groups and field extensions. This textbook is more accessible and less ambitious than most existing books covering the same subject. Readers will also find the pedagogical material very useful in enhancing the teaching and learning of abstract algebra.
Course In Abstract Algebra
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Author : Vijay K. Khanna
language : en
Publisher:
Release Date : 1998
Course In Abstract Algebra written by Vijay K. Khanna and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Abstract Algebra
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Author : Thomas W. Hungerford
language : en
Publisher: Cengage Learning
Release Date : 2012-07-27
Abstract Algebra written by Thomas W. Hungerford and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-27 with Algebra, Abstract categories.
ABSTRACT ALGEBRA: AN INTRODUCTION, 3E, International Edition is intended for a first undergraduate course in modern abstract algebra. The flexible design of the text makes it suitable for courses of various lengths and different levels of mathematical sophistication, ranging from a traditional abstract algebra course to one with a more applied flavor. The emphasis is on clarity of exposition. The thematic development and organizational overview is what sets this book apart. The chapters are organized around three themes: arithmetic, congruence, and abstract structures. Each theme is developed first for the integers, then for polynomials, and finally for rings and groups. This enables students to see where many abstract concepts come from, why they are important, and how they relate to one another.
A First Course In Abstract Algebra
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Author : Marlow Anderson
language : en
Publisher: CRC Press
Release Date : 2005-01-27
A First Course In Abstract Algebra written by Marlow Anderson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-27 with Mathematics categories.
Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting with something students know and abstracting from there
A First Graduate Course In Abstract Algebra
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Author : William Jennings Wickless
language : en
Publisher: CRC Press
Release Date : 2019-09-27
A First Graduate Course In Abstract Algebra written by William Jennings Wickless and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-27 with Mathematics categories.
Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra-establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.
Abstract Algebra
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Author : Hillman
language : en
Publisher:
Release Date : 1993-01-01
Abstract Algebra written by Hillman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with categories.