John Baez's list of books math prerequisites?

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DuctTapePro
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my current skills in math are differential eq and linear algebra...
and I am about to start reading Feynman lectures of physics and planning to read all John Baez's recommended books.. after reading Feynman's, what would be the next best thing to do? learn more math? or jump already to core topics?

and what would be the math prerequisites of these books?

Classical mechanics:
Herbert Goldstein, Charles Poole, and John Safko, Classical Mechanics, Addison Wesley, San Francisco, 2002.

Statistical mechanics:
F. Reif, Fundamentals of Statistical and Thermal Physics, McGraw Hill, New York, 1965.

Electromagnetism:
John David Jackson, Classical Electrodynamics, Wiley, New York, 1975.

Special relativity:
Edwin F. Taylor, John A. Wheeler, Spacetime Physics: Introduction to Special Relativity, W. H. Freeman Press, 1992.

Quantum mechanics:
Anthony Sudbery, Quantum Mechanics and the Particles of Nature: an Outline for Mathematicians, Cambridge University Press, Cambridge, 1986. (Not just for mathematicians!
 
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You should be fine. Jump in into the books, and pick up any additional mathematics along the way.