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Related lectures (31)

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Finite Elements: Convergence Analysis and Variational Formulation

Explores convergence analysis of finite element methods and variational formulation.

Functional Analysis and Distribution Theory

Introduces functional analysis, distribution theory, topological vector spaces, and linear operators, emphasizing their importance in engineering applications.

Linear Recurrences and Applications

Explores linear recurrences, applications between sets, and the significance of functions and operators in mathematics and physics.

Asset Pricing: Valuation and Arbitrage

Explores the fundamental theorem of asset pricing and the concept of state prices and risk-neutral measures.

Analytical Extension of Gamma Function

Covers the analytical extension of the Gamma function to real and complex numbers, discussing properties and convergence.

Linear systems resolution

Covers the resolution of linear systems and its link to optimization problems.

Quantum Mechanics: Harmonic Oscillator

Introduces coherent states, the Ehrenfest theorem, and path integrals in quantum mechanics.

Parseval Relations and Fourier Transform

Covers Parseval relations, Fourier series, energy calculation, and correlation in signal processing.

Normed Spaces

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Asset Pricing: Risk-Neutral Measure and State Prices

Covers risk-neutral measure, state prices, utility functions, and risk aversion in asset pricing.