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Book A Course in Abstract Algebra  5th Edition

Download or read book A Course in Abstract Algebra 5th Edition written by Khanna V.K. & Bhamri S.K and published by Vikas Publishing House. This book was released on 2016 with total page 869 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Abstract Algebra

    Book Details:
  • Author : Abraham P. Hillman
  • Publisher : Waveland PressInc
  • Release : 1999
  • ISBN : 9781577660828
  • Pages : 480 pages

Download or read book Abstract Algebra written by Abraham P. Hillman and published by Waveland PressInc. This book was released on 1999 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book A First Course in Abstract Algebra

Download or read book A First Course in Abstract Algebra written by John B. Fraleigh and published by Pearson Education India. This book was released on 2003* with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Course in Abstract Algebra

    Book Details:
  • Author : Vijay K. Khanna
  • Publisher :
  • Release : 1998
  • ISBN : 9780706983029
  • Pages : 0 pages

Download or read book Course in Abstract Algebra written by Vijay K. Khanna and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Abstract Algebra

Download or read book Abstract Algebra written by Abraham P. Hillman and published by Brooks/Cole. This book was released on 1994 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book A First Graduate Course in Abstract Algebra

Download or read book A First Graduate Course in Abstract Algebra written by William Jennings Wickless and published by CRC Press. This book was released on 2019-09-27 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book A First Course in Abstract Algebra

Download or read book A First Course in Abstract Algebra written by John B. Fraleigh and published by . This book was released on 2004 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Abstract Algebra

    Book Details:
  • Author : Dan Saracino
  • Publisher : Waveland Press
  • Release : 2008-09-02
  • ISBN : 1478610131
  • Pages : 320 pages

Download or read book Abstract Algebra written by Dan Saracino and published by Waveland Press. This book was released on 2008-09-02 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Undergraduate Algebra

    Book Details:
  • Author : Serge Lang
  • Publisher : Springer Science & Business Media
  • Release : 2013-06-29
  • ISBN : 1475768982
  • Pages : 380 pages

Download or read book Undergraduate Algebra written by Serge Lang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The companion title, Linear Algebra, has sold over 8,000 copies The writing style is very accessible The material can be covered easily in a one-year or one-term course Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group

Book A Book of Abstract Algebra

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.

Book A First Undergraduate Course in Abstract Algebra

Download or read book A First Undergraduate Course in Abstract Algebra written by Abraham P. Hillman and published by Arden Shakespeare. This book was released on 1983-01-01 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Course on Abstract Algebra

Download or read book A Course on Abstract Algebra written by Minking Eie and published by World Scientific Publishing Company. This book was released on 2010-02-26 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the authors' 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.

Book Linear Algebra Done Right

    Book Details:
  • Author : Sheldon Axler
  • Publisher : Springer Science & Business Media
  • Release : 1997-07-18
  • ISBN : 9780387982595
  • Pages : 276 pages

Download or read book Linear Algebra Done Right written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 1997-07-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.

Book A First Course in Abstract Algebra

Download or read book A First Course in Abstract Algebra written by John B. Fraleigh and published by Addison Wesley Publishing Company. This book was released on 1989 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considered a classic by many, A First Course in Abstract Algebra is an in-depth, introductory text which gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. The Sixth Edition continues its tradition of teaching in a classical manner, while integrating field theory and new exercises.

Book A First Course in Abstract Algebra

Download or read book A First Course in Abstract Algebra written by Marlow Anderson and published by CRC Press. This book was released on 2005-01-27 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Book Algebra I

    Book Details:
  • Author : Rajendra Kumar Sharma
  • Publisher : Pearson Education India
  • Release : 2011
  • ISBN : 9788131760864
  • Pages : 788 pages

Download or read book Algebra I written by Rajendra Kumar Sharma and published by Pearson Education India. This book was released on 2011 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra is a compulsory paper offered to the undergraduate students of Mathematics. The majority of universities offer the subject as a two /three year paper or in two/three semesters. Algebra I: A Basic Course in Abstract Algebra covers the topic required for a basic course.

Book A Primer of Abstract Mathematics

Download or read book A Primer of Abstract Mathematics written by Robert B. Ash and published by American Mathematical Soc.. This book was released on 2020-03-02 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to prepare the reader for coping with abstract mathematics. The intended audience is both students taking a first course in abstract algebra who feel the need to strengthen their background and those from a more applied background who need some experience in dealing with abstract ideas. Learning any area of abstract mathematics requires not only ability to write formally but also to think intuitively about what is going on and to describe that process clearly and cogently in ordinary English. Ash tries to aid intuition by keeping proofs short and as informal as possible and using concrete examples as illustration. Thus, it is an ideal textbook for an audience with limited experience in formalism and abstraction. A number of expository innovations are included, for example, an informal development of set theory which teaches students all the basic results for algebra in one chapter.