Fourier Series and Equations

Related lectures (27)

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Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Explores solutions of differential equations and their monotonicity properties.

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Covers the solution of differential equations with initial conditions and limit analysis.

Explores finding solutions of differential equations, emphasizing maximal solutions and general solutions with constants.

Covers the Cauchy problem, focusing on differential equations and the role of initial conditions in determining unique solutions.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores real functions, covering parity, periodicity, and polynomial functions.

Covers the Cauchy problem in differential equations, focusing on initial conditions and their impact on solution uniqueness.

Covers advanced topics in analysis, focusing on integrals, functions, and their properties.