Lectures related to Geometric calculus

Why are there so many saddle points?: Loss landscape and optimization methods

Explores the reasons behind the abundance of saddle points in deep learning optimization, emphasizing statistical and geometric arguments.

Scalar Product

Explains the concept of scalar product, its properties, and geometric interpretation.

Vector Calculus Review: Maxwell Equations

Covers a review of vector calculus and the Maxwell equations in electromagnetism.

Analytical Study of Space

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Lyapunov Functions: Construction and Properties

Explores Lyapunov functions, Chetaev's theorem, and differential forms classification.

Geometry II: Modern Geometric Transformations

Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.

Analytical Geometry: Equations of Planes in Space

Explains the geometric definition of planes in space and how to determine their equations.

Geometric Rotations in 2D

Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.

Symmetry Operations in Materials Science

Covers symmetry operations in materials science, including rotations and helical axes.

Geometric Means: Simple, Double, and Harmonic

Explores the construction and mathematical properties of simple, double, and harmonic geometric means using ruler and compass.

Image Processing I: Linear Operators and Fourier Transform

Introduces linear operators, Fourier transform, and their applications in image processing.

Analytical Geometry: Circles and Tangents

Explores circles, tangents, right lines, planes, and vector products in analytical geometry.

Ellipses and Curves in Geometry

Explores ellipses, curves, and their applications in astronomy and mathematics.

Bisectrice in a Plane

Covers the construction of geometric components to avoid collisions between panels in dihedral angles.

Virtual Displacements: Theory and Applications

Explores virtual displacements, reaction forces, and work on rigid bodies.

The 3 Branches: Geometric Means & Constructibility

Delves into ancient geometric means, transformations, and projective geometry's birapports.

Cones and Cylinders: Geometric Definitions

Explains the geometric definitions of cones and cylinders in space and their tangent properties.

Spectral Analysis: Hyperbolic Surfaces

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

Hyperstatic Structures and Principle of Virtual Work

Covers hyperstatic structures, pre-stressed structures, and limitations of geometric linearity.