Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Quizes
Exercises
Publications
Startups
Units
Show all results for
Home
Lecture
Lyapunov Functions: Construction and Properties
Graph Chatbot
Related lectures (31)
Differential Forms on Manifolds
Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Differential Forms: Basics and Applications
Introduces the concept of differential forms and their applications in n-dimensional manifolds, including the Levi-Civita tensor and volume form.
Hodge Duality and Covariant Derivatives
Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.
Riemann Surfaces: Complex Manifolds
Covers Riemann surfaces as complex manifolds of dimension 1, including transition maps and holomorphic functions.
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Untitled
Curves in the Oriented Plane
Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Dynamical Systems: Equilibrium Points and Stability
Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.
Differential Forms and Invariant Measures
Log in to Mediaspace to watch this video
Covers differential forms, invariant measures, and integration on manifolds with examples and illustrations.
Mechanics: Introduction and Calculus
Log in to Mediaspace to watch this video
Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Harmonic Forms and Riemann Surfaces
Log in to Mediaspace to watch this video
Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.
Magnetostatics: Magnetic Field and Force
Log in to Mediaspace to watch this video
Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.
Vector Calculus Review: Maxwell Equations
Log in to Mediaspace to watch this video
Covers a review of vector calculus and the Maxwell equations in electromagnetism.
Geometric Property: Spectral Side
Log in to Mediaspace to watch this video
Covers the derivation of geometric properties from spectral side functions.
Total Differential: Definition and Integrals
Log in to Mediaspace to watch this video
Explores the definition of total differential and its applications in integral calculus.
Functions Composition: Continuity & Elements
Log in to Mediaspace to watch this video
Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.
Untitled
Log in to Mediaspace to watch this video
Previous
Page 1 of 2
Next
