Lectures related to Quaternion

Explores linear projective groups, quaternions, subgroup generation, and normality.

Flat Space-Time: Conditions and Theorems

Covers the necessary conditions and theorems to have flat space-time and discusses the symmetry properties of the Riemann tensor.

Group Homomorphisms

Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.

Manopt: Optimization Toolbox for Manifolds

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

Complex Numbers: Introduction and Operations

Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.

Direct Geometric Modeling: Kinematics

Explores Direct Geometric Modeling in kinematics, focusing on operational coordinates and orientation using joint variables and quaternions.

Rotation in Two Dimensions

Explores rotation in two dimensions, analyzing moment of inertia, acceleration, and stability using practical examples.