
Author 
Charles C Pinter 
ISBN10 
9780486474175 
Year 
20100114 
Pages 
384 
Language 
en 
Publisher 
Courier Corporation 
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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easytoread 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.

Author 
Charles C Pinter 
ISBN10 
9780486134796 
Year 
20120511 
Pages 
400 
Language 
en 
Publisher 
Courier Corporation 
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Accessible but rigorous, this outstanding text encompasses all of elementary abstract algebra's standard topics. Its easytoread treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. 1990 edition.

Author 
W. E. Deskins 
ISBN10 
9780486158464 
Year 
20120524 
Pages 
656 
Language 
en 
Publisher 
Courier Corporation 
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Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.

Author 
Robert B. Ash 
ISBN10 
9780486453569 
Year 
2007 
Pages 
407 
Language 
en 
Publisher 
Courier Corporation 
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Geared toward upperlevel undergraduates and graduate students, this text surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well. Author Robert B. Ash, a Professor of Mathematics at the University of Illinois, focuses on intuitive thinking. He also conveys the intrinsic beauty of abstract algebra while keeping the proofs as brief and clear as possible. The early chapters provide students with background by investigating the basic properties of groups, rings, fields, and modules. Later chapters examine the relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of algebraic number theory, algebraic geometry, noncommutative algebra, and homological algebra, including categories and functors. An extensive supplement to the text delves much further into homological algebra than most introductory texts, offering applicationsoriented results. Solutions to all problems appear in the text.

Author 
Charles C Pinter 
ISBN10 
9780486497082 
Year 
20140723 
Pages 
256 
Language 
en 
Publisher 
Courier Corporation 
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"This accessible approach to set theory for upperlevel undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"

Author 
Iain T. Adamson 
ISBN10 
9780486462660 
Year 
2007 
Pages 
181 
Language 
en 
Publisher 
Courier Corporation 
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Acclaimed by American Mathematical Monthly as "an excellent introduction,"this treatment ranges from basic definitions to important results and applications, introducing both the spirit and techniques of abstract algebra. It develops the elementary properties of rings and fields, explores extension fields and Galois theory, and examines numerous applications. 1982 edition.

Author 
Nathan Carter 
ISBN10 
088385757X 
Year 
20090409 
Pages 
297 
Language 
en 
Publisher 
MAA 
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A fullcolour visual guide for students of group theory.

Author 
Ayman Badawi 
ISBN10 
159033924X 
Year 
20040101 
Pages 
117 
Language 
en 
Publisher 
Nova Publishers 
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This is the most current textbook in teaching the basic concepts of abstract algebra. The author finds that there are many students who just memorise a theorem without having the ability to apply it to a given problem. Therefore, this is a handson manual, where many typical algebraic problems are provided for students to be able to apply the theorems and to actually practice the methods they have learned. Each chapter begins with a statement of a major result in Group and Ring Theory, followed by problems and solutions. Contents: Tools and Major Results of Groups; Problems in Group Theory; Tools and Major Results of Ring Theory; Problems in Ring Theory; Index.

Author 
Thomas Hungerford 
ISBN10 
9781111569624 
Year 
20120727 
Pages 
616 
Language 
en 
Publisher 
Cengage Learning 
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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.

Author 
Allan Clark 
ISBN10 
9780486140353 
Year 
20120706 
Pages 
224 
Language 
en 
Publisher 
Courier Corporation 
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Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.

Author 
Peter Jephson Cameron 
ISBN10 
0198501951 
Year 
1998 
Pages 
295 
Language 
en 
Publisher 
Oxford University Press, USA 
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This book is an undergraduate textbook on abstract algebra, beginning with the theories of rings and groups. As this is the first really abstract material students need, the pace here is gentle, and the basic concepts of subring, homomorphism, ideal, etc are developed in detail. Later, as students gain confidence with abstractions, they are led to further developments in group and ring theory (simple groups and extensions, Noetherian rings, and outline of universal algebra, lattices andcategories) and to applications such as Galois theory and coding theory. There is also a chapter outlining the construction of the number systems from scratch and proving in three different ways that trascendental numbers exist.

Author 
Stephen Lovett 
ISBN10 
1482248905 
Year 
20150804 
Pages 
720 
Language 
en 
Publisher 
Chapman and Hall/CRC 
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A DiscoveryBased Approach to Learning about Algebraic Structures Abstract Algebra: Structures and Applications helps students understand the abstraction of modern algebra. It emphasizes the more general concept of an algebraic structure while simultaneously covering applications. The text can be used in a variety of courses, from a onesemester introductory course to a full twosemester sequence. The book presents the core topics of structures in a consistent order: Definition of structure Motivation Examples General properties Important objects Description Subobjects Morphisms Subclasses Quotient objects Action structures Applications The text uses the general concept of an algebraic structure as a unifying principle and introduces other algebraic structures besides the three standard ones (groups, rings, and fields). Examples, exercises, investigative projects, and entire sections illustrate how abstract algebra is applied to areas of science and other branches of mathematics.

Author 
Jonathan K. Hodge 
ISBN10 
9781466567061 
Year 
20131221 
Pages 
595 
Language 
en 
Publisher 
CRC Press 
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To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An InquiryBased Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think. The book can be used in both ringsfirst and groupsfirst abstract algebra courses. Numerous activities, examples, and exercises illustrate the definitions, theorems, and concepts. Through this engaging learning process, students discover new ideas and develop the necessary communication skills and rigor to understand and apply concepts from abstract algebra. In addition to the activities and exercises, each chapter includes a short discussion of the connections among topics in ring theory and group theory. These discussions help students see the relationships between the two main types of algebraic objects studied throughout the text. Encouraging students to do mathematics and be more than passive learners, this text shows students that the way mathematics is developed is often different than how it is presented; that definitions, theorems, and proofs do not simply appear fully formed in the minds of mathematicians; that mathematical ideas are highly interconnected; and that even in a field like abstract algebra, there is a considerable amount of intuition to be found.

Author 
Ian Stewart 
ISBN10 
9780486134956 
Year 
20120523 
Pages 
352 
Language 
en 
Publisher 
Courier Corporation 
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In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Author 
Thomas W. Judson 
ISBN10 
1944325026 
Year 
20160809 
Pages 
434 
Language 
en 
Publisher 
Orthogonal Publishing L3c 
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Abstract Algebra: Theory and Applications is an opensource textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many nontrivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semesterlong course. The secondhalf is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.