## Abstract Algebra

**Author**: David Steven Dummit,Richard M. Foote

**Publisher:**N.A

**ISBN:**9780471452348

**Category:**Algebra, Abstract

**Page:**932

**View:**2310

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Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.

## Abstract Algebra: An Introduction

**Author**: Thomas W. Hungerford

**Publisher:**Cengage Learning

**ISBN:**1111569622

**Category:**Mathematics

**Page:**616

**View:**4747

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Abstract Algebra: An Introduction is set apart by its thematic development and organization. The chapters are organized around two themes: arithmetic and congruence. 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. New to this edition is a groups first option that enables those who prefer to cover groups before rings to do so easily. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

## Abstract Algebra

*Third Edition*

**Author**: John A. Beachy,William D. Blair

**Publisher:**Waveland Press

**ISBN:**1478607998

**Category:**Mathematics

**Page:**484

**View:**423

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Highly regarded by instructors in past editions for its sequencing of topics as well as its concrete approach, slightly slower beginning pace, and extensive set of exercises, the latest edition of Abstract Algebra extends the thrust of the widely used earlier editions as it introduces modern abstract concepts only after a careful study of important examples. Beachy and Blairs clear narrative presentation responds to the needs of inexperienced students who stumble over proof writing, who understand definitions and theorems but cannot do the problems, and who want more examples that tie into their previous experience. The authors introduce chapters by indicating why the material is important and, at the same time, relating the new material to things from the students background and linking the subject matter of the chapter to the broader picture. Instructors will find the latest edition pitched at a suitable level of difficulty and will appreciate its gradual increase in the level of sophistication as the student progresses through the book. Rather than inserting superficial applications at the expense of important mathematical concepts, the Beachy and Blair solid, well-organized treatment motivates the subject with concrete problems from areas that students have previously encountered, namely, the integers and polynomials over the real numbers. Supplementary material for instructors and students available on the books Web site: www.math.niu.edu/~beachy/abstract_algebra/

## ABSTRACT ALGEBRA, THIRD EDITION

**Author**: CHATTERJEE, DIPAK

**Publisher:**PHI Learning Pvt. Ltd.

**ISBN:**8120351495

**Category:**Mathematics

**Page:**408

**View:**6060

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Appropriate for undergraduate courses, this third edition has new chapters on Galois Theory and Module Theory, new solved problems and additional exercises in the chapters on group theory, boolean algebra and matrix theory. The text offers a systematic, well-planned, and elegant treatment of the main themes in abstract algebra. It begins with the fundamentals of set theory, basic algebraic structures such as groups and rings, and special classes of rings and domains, and then progresses to extension theory, vector space theory and finally the matrix theory. The boolean algebra by virtue of its relation to abstract algebra also finds a proper place in the development of the text. The students develop an understanding of all the essential results such as the Cayley’s theorem, the Lagrange’s theorem, and the Isomorphism theorem, in a rigorous and precise manner. Sufficient numbers of examples have been worked out in each chapter so that the students can grasp the concepts, the ideas, and the results of structure of algebraic objects in a comprehensive way. The chapter-end exercises are designed to enhance the student’s ability to further explore and interconnect various essential notions. Besides undergraduate students of mathematics, this text is equally useful for the postgraduate students of mathematics.

## Introduction to Abstract Algebra, Third Edition

**Author**: T.A. Whitelaw

**Publisher:**CRC Press

**ISBN:**9780751401479

**Category:**Mathematics

**Page:**256

**View:**3485

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The first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra.

## Elements of Modern Algebra

**Author**: Linda Gilbert

**Publisher:**Cengage Learning

**ISBN:**1285463234

**Category:**Mathematics

**Page:**528

**View:**8779

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ELEMENTS OF MODERN ALGEBRA, Eighth Edition, with its user-friendly format, provides you with the tools you need to succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem-solving skills. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

## Algebra

*Aus dem Englischen übersetzt von Annette A’Campo*

**Author**: Michael Artin

**Publisher:**Birkhäuser

**ISBN:**9783764359386

**Category:**Mathematics

**Page:**705

**View:**3583

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Important though the general concepts and propositions may be with which the modem and industrious passion for axiomatizing and generalizing has presented us, in algebra perhaps more than anywhere else, nevertheless I am convinced that the special problems in all their complexity constitute the stock and core of mathematics, and that to master their difficulties requires on the whole the harder labor. HERMANN WEYL Die Arbeit an diesem Buch begann vor etwa zwanzig Jahren mit Aufzeichnungen zur Ergänzung meiner Algebravorlesungen. Ich wollte einige konkrete Themen, wie Symmetrie, lineare Gruppen und quadratische Zahlkörper, ausführlicher be handeln als dies im vorgesehenen Text der Fall war, und darüberhinaus wollte ich den Schwerpunkt in der Gruppentheorie von den Permutationsgruppen auf Matrixgruppen verlagern. Ein anderes ständig wiederkehrendes Thema, nämlich Gitter, sind spontan aufgetaucht. Ich hoffte, der konkrete Stoff könne das Interesse der Studenten wecken und gleichzeitig die Abstraktionen verständlicher machen, kurz gesagt, sie sollten weiter kommen, indem sie beides gleichzeitig lernten. Das bewährte sich gut. Es dauerte einige Zeit, bis ich entschieden hatte, welche Themen ich behandeln wollte, und allmählich verteilte ich mehr und mehr Aufzeichnungen und ging schließlich dazu über, die ganze Vorlesung mit diesem Skript zu bestrei ten. Auf diese Weise ist ein Buch entstanden, das, wie ich meine, etwas anders ist als die existierenden Bücher. Allerdings haben mir die Probleme, die ich damit hatte, die einzelnen Teile des Buches zu einem Ganzen zusammenzufügen, einige Kopfschmerzen bereitet; ich kann also nicht empfehlen, auf diese Art anzufangen, ein Buch zu schreiben.

## Schaum's Outline of Abstract Algebra

**Author**: Lloyd Jaisingh,Frank Ayres

**Publisher:**McGraw Hill Professional

**ISBN:**9780071403276

**Category:**Study Aids

**Page:**288

**View:**2010

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Tough Test Questions? Missed Lectures? Not Rnough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

## Introduction to Abstract Algebra

**Author**: W. Keith Nicholson

**Publisher:**John Wiley & Sons

**ISBN:**1118135350

**Category:**Mathematics

**Page:**535

**View:**2056

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Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text. The Fourth Edition features important concepts as well as specialized topics, including: The treatment of nilpotent groups, including the Frattini and Fitting subgroups Symmetric polynomials The proof of the fundamental theorem of algebra using symmetric polynomials The proof of Wedderburn's theorem on finite division rings The proof of the Wedderburn-Artin theorem Throughout the book, worked examples and real-world problems illustrate concepts and their applications, facilitating a complete understanding for readers regardless of their background in mathematics. A wealth of computational and theoretical exercises, ranging from basic to complex, allows readers to test their comprehension of the material. In addition, detailed historical notes and biographies of mathematicians provide context for and illuminate the discussion of key topics. A solutions manual is also available for readers who would like access to partial solutions to the book's exercises. Introduction to Abstract Algebra, Fourth Edition is an excellent book for courses on the topic at the upper-undergraduate and beginning-graduate levels. The book also serves as a valuable reference and self-study tool for practitioners in the fields of engineering, computer science, and applied mathematics.

## Abstract algebra

**Author**: David M. Burton

**Publisher:**William C Brown Pub

**ISBN:**N.A

**Category:**Mathematics

**Page:**489

**View:**6626

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Textbook for use by undergraduate mathematics majors.

## Abstract Algebra

*A First Course*

**Author**: Dan Saracino

**Publisher:**Waveland PressInc

**ISBN:**9781577665366

**Category:**Mathematics

**Page:**313

**View:**3269

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## Applied Discrete Structures - Part 2- Algebraic Structures

**Author**: Ken Levasseur,Al Doerr

**Publisher:**Lulu.com

**ISBN:**1105618986

**Category:**Science

**Page:**266

**View:**6002

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Applied Discrete Structures, Part II - Algebraic Structures, is an introduction to groups, monoids, vector spaces, lattices, boolean algebras, rings and fields. It corresponds with the content of Discrete Structures II at UMass Lowell, which is a required course for students in Computer Science. It presumes background contained in Part I - Fundamentals. Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.

## Exam Prep for Abstract Algebra by Herstein, 3rd Ed.

**Author**: Herstein,Mznlnx

**Publisher:**Mznlnx

**ISBN:**9781428869141

**Category:**Education

**Page:**56

**View:**1147

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The MznLnx Exam Prep series is designed to help you pass your exams. Editors at MznLnx review your textbooks and then prepare these practice exams to help you master the textbook material. Unlike study guides, workbooks, and practice tests provided by the texbook publisher and textbook authors, MznLnx gives you all of the material in each chapter in exam form, not just samples, so you can be sure to nail your exam.

## Notes

**Author**: Canadian Mathematical Society

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematics

**Page:**N.A

**View:**5906

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## Lineare Algebra

*Einführung, Grundlagen, Übungen*

**Author**: Howard Anton

**Publisher:**Springer Verlag

**ISBN:**9783827403247

**Category:**Mathematics

**Page:**680

**View:**5910

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In Ihrer Hand liegt ein Lehrbuch - in sieben englischsprachigen Ausgaben praktisch erprobt - das Sie mit groem didaktischen Geschick, zudem angereichert mit zahlreichen Ubungsaufgaben, in die Grundlagen der linearen Algebra einfuhrt. Kenntnisse der Analysis werden fur das Verstandnis nicht generell vorausgesetzt, sind jedoch fur einige besonders gekennzeichnete Beispiele notig. Padagogisch erfahren, behandelt der Autor grundlegende Beweise im laufenden Text; fur den interessierten Leser jedoch unverzichtbare Beweise finden sich am Ende der entsprechenden Kapitel. Ein weiterer Vorzug des Buches: Die Darstellung der Zusammenhange zwischen den einzelnen Stoffgebieten - linearen Gleichungssystemen, Matrizen, Determinanten, Vektoren, linearen Transformationen und Eigenwerten.

## A Course in Abstract Algebra

**Author**: Vijay K. Khanna,S. K. Bhambri

**Publisher:**Vikas Pub

**ISBN:**9780706986754

**Category:**Mathematics

**Page:**614

**View:**8634

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## The Cumulative Book Index

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**American literature

**Page:**N.A

**View:**2120

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## Mathematical Education

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematics

**Page:**N.A

**View:**1785

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## A Course In Abstract Algebra, 3E

**Author**: V K Khanna

**Publisher:**Vikas Publishing House Pvt Ltd

**ISBN:**9788125919117

**Category:**Algebra, Abstract

**Page:**663

**View:**3657

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Designed For Undergraduate And Post Graduate 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 O