The most refined structure, where you can add, subtract, multiply, and divide (except by zero). The real numbers ( Rthe real numbers ) and rational numbers ( Qthe rational numbers ) are the classic examples.
If you can't find a legal copy of the Gilbert text, these highly-regarded textbooks are open-source and free to download: Elements of Modern Algebra free ebook download
by Charles Pinter (Available very cheaply or through many university libraries). To help you get the exact material you need: The specific edition or author (if not Gilbert & Gilbert) The most refined structure, where you can add,
Modern algebra (or abstract algebra) moves away from solving for To help you get the exact material you
you're struggling with (e.g., Sylow Theorems, Galois Theory)
and into the study of mathematical structures. An essay on its elements typically focuses on four major areas: