
Author 
P. B. Bhattacharya 
ISBN10 
0521466296 
Year 
19941125 
Pages 
487 
Language 
en 
Publisher 
Cambridge University Press 
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This is a selfcontained text on abstract algebra for senior undergraduate and senior graduate students, which gives complete and comprehensive coverage of the topics usually taught at this level. The book is divided into five parts. The first part contains fundamental information such as an informal introduction to sets, number systems, matrices, and determinants. The second part deals with groups. The third part treats rings and modules. The fourth part is concerned with field theory. Much of the material in parts II, III, and IV forms the core syllabus of a course in abstract algebra. The fifth part goes on to treat some additional topics not usually taught at the undergraduate level, such as the WedderburnArtin theorem for semisimple artinian rings, NoetherLasker theorem, the SmithNormal form over a PID, finitely generated modules over a PID and their applications to rational and Jordan canonical forms and the tensor products of modules. Throughout, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. In addition, the book contains many examples fully worked out and a variety of problems for practice and challenge. Solution to the oddnumbered problems are provided at the end of the book to encourage the student in problem solving. This new edition contains an introduction to categories and functors, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated NoetherLasker theorem. In addition, there are over 150 new problems and examples.

Author 
Robert B. Ash 
ISBN10 
9780486318110 
Year 
20130617 
Pages 
432 
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 
Otto Franz Georg Schilling 
ISBN10 
OCLC:21055304 
Year 
1971 
Pages 
342 
Language 
en 
Publisher 

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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 
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 
Israel Kleiner 
ISBN10 
9780817646851 
Year 
20070920 
Pages 
168 
Language 
en 
Publisher 
Springer Science & Business Media 
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This book does nothing less than provide an account of the intellectual lineage of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared insoluble by classical means. A major theme of the book is to show how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference.

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 
Robert B. Ash 
ISBN10 
9780486318110 
Year 
20130617 
Pages 
432 
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 
Rajendra Kumar Sharma 
ISBN10 
9788131797624 
Year 

Pages 
780 
Language 
en 
Publisher 
Pearson Education India 
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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.

Author 
P. B. Bhattacharya 
ISBN10 
052154548X 
Year 
20030101 
Pages 
507 
Language 
en 
Publisher 

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This book represents a complete course in abstract algebra, providing instructors with flexibility in the selection of topics to be taught in individual classes. All the topics presented are discussed in a direct and detailed manner. Throughout the text, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. The book contains many examples fully worked out and a variety of problems for practice and challenge. Solutions to the oddnumbered problems are provided at the end of the book. This new edition contains an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Lasker Noether theorem. In addition, there are over 100 new problems and examples, particularly aimed at relating abstract concepts to concrete situations.

Author 
Paul B. Garrett 
ISBN10 
9781584886891 
Year 
20070925 
Pages 
472 
Language 
en 
Publisher 
CRC Press 
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Designed for an advanced undergraduate or graduatelevel course, Abstract Algebra provides an exampleoriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroomtested, howto manual takes a more narrative approach than the stiff formalism of many other textbooks, presenting coherent storylines to convey crucial ideas in a studentfriendly, accessible manner. An unusual feature of the text is the systematic characterization of objects by universal mapping properties, rather than by constructions whose technical details are irrelevant. Addresses Common Curricular Weaknesses In addition to standard introductory material on the subject, such as Lagrange's and Sylow's theorems in group theory, the text provides important specific illustrations of general theory, discussing in detail finite fields, cyclotomic polynomials, and cyclotomic fields. The book also focuses on broader background, including brief but representative discussions of naive set theory and equivalents of the axiom of choice, quadratic reciprocity, Dirichlet's theorem on primes in arithmetic progressions, and some basic complex analysis. Numerous worked examples and exercises throughout facilitate a thorough understanding of the material.

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 
W. Keith Nicholson 
ISBN10 
9781118135358 
Year 
20120320 
Pages 
535 
Language 
en 
Publisher 
John Wiley & Sons 
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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 . . ."â€”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 WedderburnArtin theorem Throughout the book, worked examples and realworld 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 upperundergraduate and beginninggraduate levels. The book also serves as a valuable reference and selfstudy tool for practitioners in the fields of engineering, computer science, and applied mathematics.

Author 
Richard Laatsch 
ISBN10 
PSU:000030526044 
Year 
19680301 
Pages 
224 
Language 
en 
Publisher 
McGrawHill Companies 
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