Lectures related to Geometry: Eulerian Circuits

Introduces vector definitions, displacement, addition, and applications in geometry.

Covers the digitization of vector objects in GIS, including creation, editing, and topology management.

Topology: Separation Criteria and Quotient Spaces

Discusses separation criteria and quotient spaces in topology, emphasizing their applications and theoretical foundations.

Minimum Spanning Trees: Prim's Algorithm

Explores Prim's algorithm for minimum spanning trees and introduces the Traveling Salesman Problem.

Statistical analysis of network data

Covers stochastic properties, network structures, models, statistics, centrality measures, and sampling methods in network data analysis.

Assembly: Physics of Manufacturing

Discusses the importance of assembly in manufacturing and covers common couplings, stability, and spatial vectors.

Sparsest Cut: ARV Theorem

Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

Elliptical Arch Construction

Explores the construction of elliptical arches using a single ellipse arc.