Lectures related to Mathematical structure

Nonlinear Analysis of Structures

Explores the nonlinear analysis of structures, covering stiffness formulations, typical behavior under loading, and empirical equations for steel and concrete components.

Structures and Mechanisms: Static (Rigid) Structures

Covers the analysis of static (rigid) structures, including equilibrium and free-body diagrams.

Nonlinear Analysis of Structures

Explores nonlinear analysis of structures, including the Newmark Method and modeling strategies.

Lines of Influence: Internal Forces

Covers the concept of lines of influence for internal forces in structures.

Proof of Existence

Explores morphisms in group theory, focusing on proving their existence and uniqueness through mathematical reasoning.

Endomorphisms and automorphisms of totally disconnected locally compact groups

Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing the properties of flat groups and free abelian subgroups.

Natural Transformations in Group Theory

Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.

Local Global Duality

Explores local-global duality in lattices and joint equidistribution of CM points.

Group Theory Fundamentals

Introduces the basics of group theory, defining groups, categories, and groupoids.

Nonlinear Analysis of Structures: Model Fidelities & Plasticity

Introduces model fidelities, plastic hinges, and concentrated plasticity in nonlinear structural analysis.

Subsets and subgroups associated with an action

Explores subsets and subgroups related to group actions on sets.

Monster Group Construction

Explores the construction of the Fischer-Greiss monster group, emphasizing its key properties and the process involved.

Homotopy Classes and Group Structures

Explores wedges in pointed spaces, group structures, and the Echman-Hilton argument.

Metal Structures: Resistance and Interaction

Covers the resistance of metal structures in section and interaction of moments and forces.

Assistive Drawing Tools: Concepts and Applications

Covers the concepts and applications of assistive drawing tools, focusing on group structures and representations.

Topology: Lecture Notes 2021

Covers commutative diagrams, homotopy, and constructing topological spaces.

Isomaphic Entue: Base Canonique and Free K-Modulus

Explores isomorphic structures, base canonique, invertible elements, and constructing smallest sev in vector spaces.

Groups and Numbers: Mathematical Elements on Groups

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

Separable Extensions: Dedekind Rings

Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.

Matlab/Octave: Test and Time Management

Covers plotting, date references, time representation, and structures in Matlab/Octave.