Lectures related to Number line

Explores Sobolev spaces, unitary groups, Laplacian properties, and translation groups in L^2.

Explores the mapping of unstable domains in plasma instabilities and the conditions for instability.

Covers the concept of universal covering and its properties, including examples and monodromy action.

Explores statistical physics concepts in isolated systems, focusing on entropy and disorder.

Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.

Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.

Introduces real number sequences, notations, properties, and recursive sequences with examples and graphical representations.

Covers convergence criteria for real number sequences and series, including demonstrations and examples.

Introduces the axiomatic structure of real numbers and their properties, including completeness and the Archimedean property.

Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.

Covers the Two Gendarmes Theorem in real number sequences.

Explores the existence of an infinite number of complex numbers z.

Explores the mechanics of slender structures, introducing concepts like finite strain and finite rotation theory.

Introduces floating point number representation, round-off errors, and their impact on numerical computations.

Covers the calculation of generalized integrals using the residues method and provides examples for better understanding.

Explores complex numbers, including modulus, conjugation, and Euler formula.

Covers the decomposition into line metrics, providing examples and discussing its implications.

Covers line metrics, convex cones, and linear metric combinations.