Author: Khanna V.K. & Bhamri S.K
Publisher: Vikas Publishing House
ISBN: 9352593200
Category : Mathematics
Languages : en
Pages : 869
Book Description
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 Course in Abstract Algebra, 5th Edition
Author: Khanna V.K. & Bhamri S.K
Publisher: Vikas Publishing House
ISBN: 9352593200
Category : Mathematics
Languages : en
Pages : 869
Book Description
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.
Publisher: Vikas Publishing House
ISBN: 9352593200
Category : Mathematics
Languages : en
Pages : 869
Book Description
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.
Abstract Algebra
Author: Abraham P. Hillman
Publisher: Waveland PressInc
ISBN: 9781577660828
Category : Mathematics
Languages : en
Pages : 480
Book Description
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.
Publisher: Waveland PressInc
ISBN: 9781577660828
Category : Mathematics
Languages : en
Pages : 480
Book Description
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.
Course in Abstract Algebra
Author: Vijay K. Khanna
Publisher:
ISBN: 9780706983029
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN: 9780706983029
Category :
Languages : en
Pages : 0
Book Description
A First Course in Abstract Algebra
Author: John B. Fraleigh
Publisher: Pearson Education India
ISBN: 9788177589009
Category : Algebra
Languages : en
Pages : 534
Book Description
Publisher: Pearson Education India
ISBN: 9788177589009
Category : Algebra
Languages : en
Pages : 534
Book Description
A First Course in Abstract Algebra
Author: John B. Fraleigh
Publisher:
ISBN:
Category : Algebra, Abstract
Languages : en
Pages : 540
Book Description
Publisher:
ISBN:
Category : Algebra, Abstract
Languages : en
Pages : 540
Book Description
Abstract Algebra
Author: Abraham P. Hillman
Publisher: Brooks/Cole
ISBN:
Category : Mathematics
Languages : en
Pages : 504
Book Description
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.
Publisher: Brooks/Cole
ISBN:
Category : Mathematics
Languages : en
Pages : 504
Book Description
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.
Abstract Algebra
Author: Dan Saracino
Publisher: Waveland Press
ISBN: 1478610131
Category : Mathematics
Languages : en
Pages : 320
Book Description
The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Proofs of theorems do more than just prove the stated results; Saracino examines them so readers gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. The new edition introduces five new sections on field extensions and Galois theory, increasing its versatility by making it appropriate for a two-semester as well as a one-semester course.
Publisher: Waveland Press
ISBN: 1478610131
Category : Mathematics
Languages : en
Pages : 320
Book Description
The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Proofs of theorems do more than just prove the stated results; Saracino examines them so readers gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. The new edition introduces five new sections on field extensions and Galois theory, increasing its versatility by making it appropriate for a two-semester as well as a one-semester course.
A Book of Abstract Algebra
Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402
Book Description
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.
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402
Book Description
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.
A Course in Linear Algebra
Author: David B. Damiano
Publisher: Courier Corporation
ISBN: 0486469085
Category : Mathematics
Languages : en
Pages : 466
Book Description
"Suitable for advanced undergraduates and graduate students, this text introduces basic concepts of linear algebra. Each chapter contains an introduction, definitions, and propositions, in addition to multiple examples, lemmas, theorems, corollaries, andproofs. Each chapter features numerous supplemental exercises, and solutions to selected problems appear at the end. 1988 edition"--
Publisher: Courier Corporation
ISBN: 0486469085
Category : Mathematics
Languages : en
Pages : 466
Book Description
"Suitable for advanced undergraduates and graduate students, this text introduces basic concepts of linear algebra. Each chapter contains an introduction, definitions, and propositions, in addition to multiple examples, lemmas, theorems, corollaries, andproofs. Each chapter features numerous supplemental exercises, and solutions to selected problems appear at the end. 1988 edition"--
Introduction to Modern Algebra
Author: NEAL H. McCOY
Publisher:
ISBN:
Category :
Languages : en
Pages : 434
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 434
Book Description