Is contemporary abstract algebra a good book?
Top positive review Gallian’s Contemporary Abstract Algebra is a decent text for the topic, and is one of the few texts out there which manages to be a the standard for many universities, but also manages to remain accessible, readable, and enjoyable for students at all levels.
Is abstract algebra easier than real analysis?
Originally Answered: What is harder: abstract algebra or analysis? It depends on the person, but most students find analysis to be significantly more challenging to learn than abstract algebra, at the introductory level.
Should I learn abstract algebra?
Abstract algebra is useful because it provides another way to look at the same problems of classical algebra. That could always provide different insights to the same problems. But abstract or classical are all relative terms, after you familiar with the concepts abstract will become concrete too.
How do you read an abstract in math?
There are a number of ways for that:
- Attend some courses in university (what you are doing) do all the exercises. Do independent search.
- Try to find other ways to see a subject. Any course or book will present one or two viewpoints.
- Realize that abstract mathematics always rely on some simple system.
- Work hard.
What are the prerequisites for real analysis?
The only pre-requisite is a knowledge of Calculus at high school level so students of the Sciences or Engineering who want a deeper understanding of Calculus or want to pursue subjects such as Theoretical Physics, Computational Complexity, Statistics, etc. would also benefit from this course.
Can you learn abstract algebra without calculus?
The answer to your question is certainly yes. Pre-calculus is a must for abstract algebra.
Is abstract algebra useful?
Abstract algebra is largely useful only for people who intend to major in mathematics and do further work in a mathematics-intensive area (such as physics, some parts of computer science, and some parts of chemistry).