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Explores the local inversion theorem, demonstrating uniqueness of solutions and continuity of functions.
Covers the movement of a grinding wheel on a non-slip bearing and the physics of a rotating thin disc.
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Explores fixed point theorems, recurrent sequences, and convergence properties, emphasizing the significance of fixed points in analysis.
Covers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.
Explores the CW Approximation Theorem, constructing CW complexes from spaces to ensure isomorphism on homology groups.
Explores advanced analysis topics, including Cauchy sequences, Banach spaces, and the Cauchy-Lipschitz theorem.
