Best Reference Books – Abstract Algebra

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We have compiled the list of Top 10 Best Reference Books on Abstract Algebra subject. These books are used by students of top universities, institutes and colleges. Here is the full list of top 10 best books on Abstract Algebra along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Abstract Algebra subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Abstract Algebra" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

1. “Contemporary Abstract Algebra” by Joseph A Gallian

“Contemporary Abstract Algebra”Whereas many partial solutions and sketches for the odd-numbered exercises appear in the book, the Student Solutions Manual, written by the author, has comprehensive solutions for all odd-numbered exercises and large number of even-numbered exercises. This Manual also offers many alternative solutions to those appearing in the text. These will provide the student with a better understanding of the material. This is the only available student solutions manual prepared by the author of Contemporary Abstract Algebra, Tenth Edition and is designed to supplement that text”.

2. “Abstract Algebra” by David S Dummit

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“Abstract Algebra” Book Review: Abstract Algebra, 4th Edition 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.

3. “Basic Abstract Algebra” by Bhattacharya

“Basic Abstract Algebra” Book Review: 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 odd-numbered 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.

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4. “Topics in Abstract Algebra” by Parthasarathi M

“Topics in Abstract Algebra” Book Review: This book is designed in accordance with the new UGC syllabus for all Indian universities at the undergraduate and advanced honours levels as well as for the first year post-graduate students of many Indian universities. Students appearing for the NET, GATE, SLET or MCA examination will find this book useful too. Moreover, the curriculum requirements of Abstract Algebra offered in engineering courses are also covered in this book. This edition has a complete chapter with worked out examples and exercises on Boolean Algebra. The Chinese remainder theorem and Euler’s Phi function has also been discussed in the appendix. Among the salient features of the book are: A rich collection of numerous examples. Visual illustrations wherever necessary. Explanatory notes in the form of footnotes. Some mind-boggling, relevant problems with their latest developments, in the Appendices. Various references to relevant web sites. Glimpses of relevant history of mathematics and mathematicians. Large number of solved exercises. Well-planned and graded exercises with objective and multiple choice questions. Answers (with hints) to large numbers of exercises.

5. “A Course In Abstract Algebra” by V K Khanna

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“A Course In Abstract Algebra” Book Review: This book is designed in accordance with the new UGC syllabus for all Indian universities at the undergraduate and advanced honours levels as well as for the first year post-graduate students of many Indian universities. Students appearing for the NET, GATE, SLET or MCA examination will find this book useful too. Moreover, the curriculum requirements of Abstract Algebra offered in engineering courses are also covered in this book. This edition has a complete chapter with worked out examples and exercises on Boolean Algebra. The Chinese remainder theorem and Euler?s Phi function have also been discussed in the appendix. Among the salient features of the book are A rich collection of numerous examples Visual illustrations wherever necessary Explanatory notes in the form of footnotes Some mind-boggling, relevant problems with their latest developments, in the Appendices Various references to relevant websites Glimpses of relevant history of mathematics and mathematicians Large number of solved exercises Well-planned and graded exercises with objective and multiple choice questions Answers (with hints) to large number of exercises.

6. “Algebra: Abstract and Modern” by Swamy and Murthy

“Algebra: Abstract and Modern” Book Review: Spread across 16 chapters, this book introduces the readers to the preliminaries of algebra and then explains topics like group theory and field theory in depth. It also features a blend of numerous challenging exercises and examples that further enhance each chapter. Covering all the necessary topics on the subject, this text is an ideal text book for an undergraduate course on mathematics.

7. “Schaum’s Outline of Modern Abstract Algebra” by Frank Ayres

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“Schaum’s Outline of Modern Abstract Algebra” Book Review: This powerful study tool on abstract algebra takes you step-by-step through the subject and gives you sample problems with fully worked solutions, including proofs of all important theorems. You also get additional practice problems to solve on your own, working at your own speed. In addition, this superb study guide gives you chapters on sets, integers, groups, polynomials, and vector spaces.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!

8. “Topics in Algebra” by I N Herstein

“Topics in Algebra” Book Review: This book on algebra includes extensive revisions of the material on finite groups and Galois Theory. Furthermore the book also contains new problems relating to Algebra.

9. “A First Course in Abstract Algebra” by Fraleigh
10. “Abstract Algebra” by Dipak Chatterjee

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“Abstract Algebra” Book Review: This book is 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 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.

People who are searching for Free downloads of books and free pdf copies of these top 10 books on Abstract Algebra – we would like to mention that we don’t have free downloadable pdf copies of these good books and one should look for free pdf copies from these Authors only if they have explicitly made it free to download and read them.

We have created a collection of best reference books on "Abstract Algebra" so that one can readily see the list of top books on "Abstract Algebra" and buy the books either online or offline.

If any more book needs to be added to the list of best books on Abstract Algebra subject, please let us know.

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