Concept

Spherical geometry

Related lectures (19)

Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.

Stokes Formula: Streamfunction in Spherical Geometry

Explores vorticity equations, advection-diffusion, solid body rotation, and Stokes formula in spherical geometry.

Introduction to Euclidean Geometry

Introduces the fundamental concepts of Euclidean geometry, exploring postulates, parallel lines, and non-Euclidean geometries.

Surface Tension and Wetting: Solid/Liquid/Gas Interfaces

Explores surface tension, wetting, and the law of Laplace at interfaces.

Heat Conduction in Spherical Geometry

Analyzes heat conduction in non-planar geometry using a submarine example.

Intrinsic Geometry of Regular Surfaces

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

Advanced Analysis II: Laplacian and Coordinates

Covers the Laplacian operator in different coordinate systems and its applications in differential equations.

Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

Introduction to Euclidean Elements

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

Introduction to Euclidean Elements

Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.

Lens Surfaces and Image Formation

Explains how to find the position and nature of images formed by lenses.

Triple Integrals: Properties and Calculations

Covers the definition of triple integrals, properties, and calculation methods.

Geometric Constraints

Explores how to handle mechanical problems with geometric constraints and associated forces.

Electric Field Representation: Field Lines & Charges

Explores electric field visualization, evaluation, and charge distribution transition, emphasizing the importance of symmetry analysis in calculations.

Rotations: Fixed Points and Spherical Coordinates

Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Particle Characterization: Methods and Applications

Discusses methods for characterizing particle shapes and sizes, focusing on measurement challenges and the importance of standardized protocols.

Particle Size Characterisation

Covers the characterisation of particle size in powders, focusing on techniques such as laser diffraction and sedimentation.

Untitled

Coordinate Systems and Rotations

Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.