A Second Course in Algebra

The aim of this book is to equip learners with further tools in abstract algebra. That is once they know what groups and rings are then group action orbits and stabilzers construction of groups via products both internal and external. Understanding groups through Sylow theorems. For rings domains are of interest especially Gaussian integers and rationals. These are studied under Euclidean domain Principal Ideal domains and Unique Factorization domains.