Abstract algebra learning recommendations

Abstract algebra is an important component of undergraduate mathematics that includes group theory, ring theory, field theory, and some advanced aspects of linear algebra (such as the Jordan canonical form and rational canonical form) that rely on some knowledge of ring theory and field theory.

Usefulness

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).
Abstract algebra provides a deeper conceptual foundation for linear algebra, which is quite useful.
The modes of thinking introduced in abstract algebra, particularly the ideas of isomorphism and homomorphism, can be useful for understanding logic, philosophy, and various cognitive science-based subjects. However, the specifics of algebraic structures are not relevant.

Recommendations

Books

A Book of Abstract Algebra (Second Edition, Dover) by Charles Pinter, Amazon: We recommend this book for people who are relatively new to higher mathematics and want a book focused on mastery of basic ideas and formalisms. It does not include too much information that sets a foundation for graduate work in mathematics. The book is also sufficiently cheap that you can buy it, use it, and then move on to more advanced books after extracting value from it.
Abstract Algebra (3rd Edition) by Dummit and Foote, Amazon: We recommend this book for people who are quite comfortable with mathematical abstraction and want to learn the subject in considerable depth, sufficient to be prepared for graduate study in mathematics.

Videos

Math Doctor Bob has some videos on abstract algebra including group theory: See here.
Vipul Naik made videos on some introductory topics in group theory to supplement his guided tour to group theory (the videos can be viewed along with the material in the tour).