The discussion centers on recommendations for undergraduate-level texts in quantum mechanics, highlighting three books that are well-regarded for their mathematical rigor. The user has a solid foundation in classical physics, ordinary and partial differential equations, linear algebra, and multivariable calculus but lacks knowledge in analytical mechanics and quantum mechanics. Zettili is noted for its detailed solved problems and derivations, though it may not cover some important topics thoroughly. Another recommended book features a comprehensive 600-page content with an impressive 200-page appendix, which the user found beneficial alongside Zettili. While Shankar's book is criticized for being overly verbose and dull, it is still acknowledged as a significant resource. Ballentine's book is suggested as an excellent choice for a second text in quantum mechanics. Overall, the conversation emphasizes the importance of selecting texts that balance depth and clarity for effective learning in quantum mechanics.