Concept

Hyperreal number

Related lectures (9)

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

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

Covers the Two Gendarmes Theorem in real number sequences.

Discusses linear response for self-consistent transfer operators, exploring rigorous results and applications in theoretical frameworks.

Explores Dedekind cuts in rational numbers, essential for constructing real numbers.

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

Covers the resolution of linear systems, matrix operations, echelon forms, and reduced echelon forms.

Explores optimization problems and greedy algorithms for efficient decision-making.

Covers the complete reducibility of complex representations and the relation between Lie algebras and Lie groups.