So I recently finished studying Spivak's calculus (excluding the chapter on construction of the real number system) and I'm almost done with Abbott's understanding analysis, what should my next step be? I had a look at Rudin's book and the topics seem so random to me, as in I feel like there is a gap that needs to be filled before diving into Rudin.
So, I'm after some suggestions in regards to my next step, is there a textbook(s) that can bridge the gap between the textbooks I mentioned above and Rudin's book or should I just 'fight' my way through it? Any advice or suggestions will highly be appreciated.
p.s; please keep in mind that this is for self-studying, I'm talking my first 'official' course in real and complex analysis later next year and I want to have a very good grasp on analysis at an undergraduate level ( or even basic grad level) by then.
Here, I'm referring to Real And Complex analysis by Walter Rudin