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Related lectures (32)

Page 3 of 4

Sequences: Induction Method

Covers sequences, induction method, Fibonacci, Bernoulli's inequality, and binomial formula.

Real Numbers Sequences

Explores real number sequences, convergence, limits, boundedness, and monotonicity.

Convergence and Cauchy Sequences

Covers convergence, Cauchy sequences, and limit superior and limit inferior of bounded sequences.

Calculus of Variations: Ground States in Quantum Mechanics

Covers the Calculus of Variations to find ground states in quantum mechanics by minimizing energy, discussing the Euler Lagrange equation and the Fundamental Theorem of Young Measure Theory.

Banach Spaces: Reflexivity and Convergence

Explores Banach spaces, emphasizing reflexivity and sequence convergence in a rigorous mathematical framework.

Sequences: Definitions and Examples

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

Bolzano-Weierstrass: Advanced Analysis I

Explores the Bolzano-Weierstrass theorem on bounded sequences and convergent subsequences.

Improper Integrals: Recap and Bounded Functions

Covers a recap of improper integrals and bounded functions.

Weak Derivatives: Definition and Properties

Covers weak derivatives, their properties, and applications in functional analysis.

Convergence of Series: Definitions and Examples

Explores the convergence of numerical series and the paradox of Achilles and the tortoise by Zeno.