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Struggling with advanced mathematical concepts in a graduate-level textbook

The author, a PhD student in mechanical engineering, is having trouble understanding a graduate-level mathematics textbook, 'Mathematical Foundations of Quantum Mechanics' by George W. Mackey. The author finds the pace of the book to be very fast, covering topics such as differentiable manifolds, Lie algebras, and topological invariants quickly. The author wonders if it's normal to take a long time to understand a small section of the book.

Mathematics & logic, Mathematics, Arithmetic