David Hilbert

Formal sciences
Logic
Classical logic
First-order logic

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Related lectures (11)

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.

Calculus of Variations

Covers topics in Calculus of Variations, including regularity results and implicit function theorems.

Lebesgue Measure and Fourier Analysis

Explores Lebesgue measure, Fourier analysis, PDE applications, and optimal transport in PDEs.

Predicate Logic: Basics and Applications

Covers the basics and applications of predicate logic, including quantifiers, predicates, and propositional functions.

Cohomology Representations: Lecture 14.1

Covers the concept of cohomology representations and the implications of reduced suspension operations on spaces.

Fractal Dimension: Understanding Complex Geometric Structures

Explores fractal dimension, calculating values analytically and providing practical examples in computer graphics.

Spectral Analysis: Hyperbolic Surfaces

Explores the spectral analysis of hyperbolic surfaces through the trace formula and its applications in understanding geometric and spectral properties.

Normed Spaces

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

Exact Fields, Direct Methods, Sobolev Spaces

Covers Hilbert's theorem, direct methods, and Sobolev spaces, including classical and modern methods.

Quantum Field Theory: BRST Symmetry

Covers the BRST symmetry in Quantum Field Theory, focusing on physical states and norm preservation.

Lagrange Multiplier and DuBois-Reymond Equation

Explores Lagrange multiplier method and DuBois-Reymond equation in optimization.

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