I'm going into my 3rd year as a pure math major at UWO. I have completed both second year Real Analysis and Linear Algebra with decent marks. However, I really feel that I didn't take too much from both other than the general concepts, especially second semester of Linear Algebra (due to laziness mostly). We used: Stephen R Lay's "Analyis: with an introduction to proof" Friedberg, Spence, and Insel "Linear Algebra" I was wondering which textbooks I could pick up from the library or amazon that would do a better effort, whether it be more rigour or just more information, at teaching me the more specific concepts. I'll be taking a full course load of math this coming year, including analysis, topology, and algebra oriented courses. So just hoping to expand my grasp on the prerequisite topics. I'm already interested in picking up Spivak's "Calculus" and Artin's "Algebra". Are these the best, or are there better options I could look into?