I am interested to know what books one should complete before entering their Ph.D. in mathematics? What topics I should have a strong grip on in order to feel eligible for entering into a Ph.D.
One of my seniors said I must complete Baby Rudin, Munkres's Topology, Conway's Complex Analysis.
I want a complete list of such topics and books. This will help me prepare for my PhD.
Just look at what ppl who got a Ph.D. got to read and found to be insightful instead of asking this. The math sorcerer has book recommendations like this.