Basic Abstract Algebra 2nd Edition by P. B. Bhattacharya (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book will get you there if you believe in it. It has examples with solutions and problems with solutions. The only topic that does not have problems with solutions is categories. For this, I have the Hungerford text, and I am presently in the process of finding a better book for this. Otherwise it is the perfect book for self-study.

⭐This is a well written book..I found it excellent for self-study of topics and modes of thinking new to me

⭐I picked this book up at my students’ society used bookstore for $10, it turned out to be a pretty good bargain. However, there are some theorems where the authors say something is obvious & I didn’t think so. It isn’t very often though, the rest of the book is pretty good, and I was a bit surprised because I had only heard of the well-known authors like Gallian, Herstein, Lang, etc. It covers maybe 3 courses worth of material too, including groups, rings, fields, vector spaces & modules, Galois Theory (complete with every possible application!), and more advanced stuff like a separate chapter on modules (in addition to the section with vector spaces), tensor products and principal ideal domains. There are also complete solutions to the odd-numbered problems. This book is surprisingly good except in certain parts, I like it.

⭐I like this book very much. Pure math, all the proofs are complete and relatively easy to follow. Solutions for the odd numbered problems are provided. If you like math and want to learn the fundamentals of abstract algebra then this book is exactly what you need. It’s written in theorem-proof/corollary style. I think every undergraduate student of mathematics, physics or information sciences should be able to use this book.

⭐I agree this is a very clear and easily readable text but a graduate text it is not. One would need to know most of this material before starting graduate level. Lots of stuff is left out and I think a rather better book that is equally clear and readable etc. but much more comprehensive with more worked examples and historical motivation is Malik et.al. in McGraw-Hill “Fundamentals of A.A.”.

⭐Bhattacharya is very concise and readable for a very difficult subject, if you are new to abstract algebra. His proofs are complete and expert and his outline is great. Also his problems are useful

⭐This is an excellent book containing more than enough examples.And the concepts are explained very very clear.The most improtant is that, although this book is easy to follow, but its content is not simple.

⭐Really an awesome book to have in anyone’s library who wishes to be master of mathematics. Every thing starts from basic and gradually advances to advanced concepts.Beneficial for 2 semester course in Abstract algebra for UG studies.All the basics of groups ,rings and fields covered in elegant manner.After this one you can approach to any other abstract algebra book such as Dummit & Foote. or else whatever you choose.As big billion days were on book was at really nice discount so I bought it ,It is really a great book . Published by Cambridge University Press so page & printing quality Excellent .Book is error free.

⭐If you are a beginner who have no knowledge in abstract algebra then you should 1st go for this book then you go for contemporary abstract algebra by Joseph gallian, or abstract algebra by vijay kumar khanna , or topics in algebra, or abstract algebra by Pearson , or any book . First you have to give time and read this book completely

⭐This is really a great book for abstract algebra, not only it explains Group theory but also ring theory, and modules and other stuff…also the book explains the prerequisities of Group theory (set theory and some linear algebra), if you want to self-study abstract algebra it’s a pretty great book, just a disclaimer that don’t go by the name that includes “Basic”,it has lots of advanced stuff too…

⭐If you have 3 – 4 years to cover the whole undergraduate Abstract Algebra then read the book of Dummit & Foote; otherwise for 1-2 years of abstract algebra study, this book is very good. Specially the field theory and Galois theory.

⭐Great book. If you wanna do elementary algebra than it’s best for you. You should use it along with I.N Herstein’s algebra for best use.

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