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I have recently started reading Quantum Mechanics from R. Shankar's book and I find the math introduced so far(first twenty to thirty pages) in the first chapter to be very engaging; the book makes me want to struggle till I understand and solve the exercises. I want to stick to this book. But before I take a decision, I would like to know if what I already know is enough to continue with the book.
The math I have dealt with so far is just high-school math and Calculus(up to Calculus 3). I am comfortable with complex numbers and matrix operations thanks to Mary L.Boas.
Coming to Physics; Classical Mechanics(up to Rigid Body Motion) as taught by the book Introduction to Mechanics by Kleppner and Kolenkow; Electricity and Magnetism (excluding Electromagnetic waves and optics) as taught by Walter Lewin. University Physics has given me a basic understanding of mechanical waves.
Concurrent with my current study are the following: Mathematical Methods( Mary L.Boas), Lagrangian and Hamiltonian formalisms(Shankar[the first few pages already have my undivided attention]), Electrodynamics(Griffiths); Waves, Thermodynamics, Modern Physics(University Physics); Harmonic Oscillators, Central Motion, Non-inertial systems and Special Relativity(Kleppner and Kolenkow).
Will my existing knowledge be enough for me to keep learning Quantum Mechanics?