Concept

Millennium Prize Problems

Related lectures (24)

Covers the heat equation for diffusion and conservation of thermal energy.

Delves into the significance of human-centered design in addressing complex problems by understanding human behavior and preferences.

Analysis IV: Laplace Equation Solutions

Explores Laplace equation solutions through separation of variables and general solution writing for complex problems.

Integration Techniques: Parts and Simple Elements

Covers integration by parts and decomposition into simple elements, providing step-by-step explanations and examples.

Partial Differential Equations and Hessians

Covers partial differential equations, Hessians, and the Implicit Function Theorem, with a focus on exam question resolution.

Taylor Series: Convergence and Applications

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

Numerical Methods: Exercises

Covers exercises related to numerical methods, focusing on computational algorithms and problem-solving strategies.

A Method for Solving Complex Problems

Introduces a method for solving complex problems, emphasizing the importance of understanding the problem statement accurately.

Taylor Series: Applications and Exercises

Covers the application of Taylor series in writing functions and solving exercises.

Analyse 1: First 6 Questions

Covers the first 6 multiple-choice questions for Analyse 1 in 2018.

Numerical Methods in Physics

Covers numerical methods in physics, focusing on solving complex problems and understanding limitations.

State Evolution & Gaussian Iteration

Explores state evolution, Gaussian iteration, and convergence criteria in iterative algorithms.

Algebra: Fundamental Theorem

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Numerical Analysis: Algorithms and Concepts

Covers algorithms for mathematical problems, focusing on stability, precision, and critical result analysis.

Dimensional Analysis of Explosions

Explores dimensional analysis of large explosions using recorded images to predict outcomes based on known parameters.

Variational Method

Covers the variational method and its applications in solving mathematical problems.

Conservation Laws: General Framework

Covers the fundamental conservation laws and properties of space and time beyond mechanics.

Dynamics of Steady Euler Flows: New Results

Explores the dynamics of steady Euler flows on Riemannian manifolds, covering ideal fluids, Euler equations, Eulerisable flows, and obstructions to exhibiting plugs.

Table Board Techniques: Problem Solving Strategies

Discusses the use of a table board for effective problem-solving strategies.

Local structure of totally disconnected locally compact groups III

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.