Lectures related to Circular definition

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Limit of a Sequence

Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.

Limit in a Point: Definition and Examples

Covers the concept of limit in a point with definitions and examples.

Analyse II: Directional Derivative

Covers the concept and calculation of directional derivatives in multivariable calculus.

Integer Cones

Covers the concept of integer cones and Carathéodory's theorem with illustrative examples.

Plasma State: Properties and Effects

Covers the definition and properties of plasma, including ionization and collective effects.

Convergence of Sequences

Covers the convergence of sequences and how to calculate limits for convergent sequences.

Connections: motivation and definition

Explores the definition of connections for smooth vector fields on manifolds.

Advanced Analysis II: Recap and Open Sets

Covers a recap of Analysis I and delves into the concept of open sets in R^n, emphasizing their importance in mathematical analysis.

Geometric McKay correspondence: Du Val singularities and Dynkin diagrams

Explores the derivation of Dynkin diagrams from Du Val singularities.

Newton's Laws: Fundamentals

Explores Newton's laws of motion, fundamental forces in nature, and the unification of interactions.

Circular Trigonometry: Understanding Geometric Angles

Explores the concept of angles in circular trigonometry, emphasizing geometric angles and their properties.

General Manifolds and Topology

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Partial Derivatives: Higher Order and Applications

Covers the concept of partial derivatives of higher order and their applications in various contexts.

Continuity Definition: Epsilon and Delta

Covers the definition of continuity at a point using epsilon and delta.

Convex Functions

Covers the properties and operations of convex functions.

Exponential Family: Definition and Properties

Covers the Exponential Family, including its definition, sufficient statistics, and distribution properties.

Elliptic Partial Differential Equations

Covers the model problem of elliptic PDEs with weak formulation and classical solutions.

Functions: Definitions and Notations

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Definition of Indefinite Integral

Explains the definition and properties of indefinite integrals, highlighting the relationship between primitives and the set of all primitives of a function.