The Issue with Riemann Integral

Related lectures (30)

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Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers the calculation of minimum points and the concept of definite integrals.

Covers the quantization of topological operators and Ising models on square lattices.

Explores the comparison between Lebesgue and Riemann integrals, demonstrating their equivalence when the Riemann integral exists.

Introduces Hilbert space as a big place where quantum systems evolve with unitaries.

Explores Taylor series expansions and Riemann integrals, including limits, convergence, subdivisions, and sums.

Explores optimal transport and gradient flows in Rd, emphasizing convergence and the role of Lipschitz and Picard-Lindelöf theorems.

Explores Riemann integrability, the fundamental theorem of integral calculus, and various integration techniques.

Offers a crash course on quantum mechanics, covering vector spaces, superposition, observables, and self-adjoint operators.

Explores weak convergence in Hilbert spaces, discussing definitions, implications, and examples.