Lectures related to Transformation geometry

Covers the analytical expression of orthogonal projections and reflections in 2D space.

Explores local frames in navigation and cartography, emphasizing mathematical expressions and spatial relationships.

Multiple Integration: Geometric Interpretation

Explores the geometric interpretation of multiple integration and its practical applications in solving real-world problems.

From Algorithms to Architectures: Isomorphic Mapping and Efficiency Assessment

Explores isomorphic mapping of algorithms to hardware and assessing efficiency metrics in hardware design.

Geometric Examples: Triangles and Functions

Explores geometric examples of triangles and functions, demonstrating the variation of x and y within defined ranges.

Spherical Coordinates: Conversion and Applications

Covers the conversion and applications of spherical coordinates in mathematical and physical contexts.

Geometric Quantization: Representation Theory

Explores geometric quantization in representation theory, focusing on SO3(R) acting on R³ and homogenous polynomials.

3 Reflection Planes Normalization

Explores the normalization of three reflection planes in geometry through rotor-reflections and glided reflections.

Geometry: Euclidean Propositions and Architectural Foundations

Explores Euclid's first proposition and its architectural implications, emphasizing the enduring relevance of classical geometric principles in contemporary architectural practice.

Conformal Maps and Hyperbolic Geometry

Explores conformal maps, hyperbolic geometry, and isometric properties of disks.

Position and Momentum Representations

Covers the position and momentum representations in quantum mechanics and their significance.

Galilean Transformations

Explores Galilean relativity, transformations between inertial coordinate systems, synchronized clocks, and visualizing motion in four-dimensional space-time.

Distributions and Laplace Transform: Key Concepts

Discusses distributions, the Laplace transform, and their applications in mathematical analysis.

Z-Transforms: Poles and Zeros

Explores Z-Transforms, Poles, Zeros, and their applications in discrete-time systems and Linear Time-Invariant systems.

Potentials: Introduction

Introduces thermodynamic potentials and their application in equilibrium problems and heat transfer.

Riemann Sphere: Correlations and Conditions

Covers the Riemann sphere, focusing on its conditions and correlation functions in mathematical and physical contexts.

Termination Analysis using Dependency Pairs

Explores automated termination analysis using dependency pairs, covering classical and modern techniques, annual competitions, and tools like AProVE.