Lectures related to Summation and Sequences: Notations and Formulas

Summation and Sequences: Notation and Formulas

Covers summation notation, product notation, and geometric series formulas.

Mathematical Basics: Index Notation and Tensors

Covers index notation basics and introduces tensors and their transformations.

Covers symmetries and conservation laws in fluid dynamics, emphasizing the importance of maximizing symmetries in ideal fluid systems.

Thermodynamics of Continuous Media

Covers historical thermodynamics, continuity equations, state functions, and Cartesian products in scalar and vectorial forms.

Tensor Transformations

Introduces tensor transformations, rotation matrices, and differential operators in mechanics.

Algebraic Manipulations: Indices and Tensors in Continuum Mechanics

Provides an overview of algebraic manipulations involving indices and tensors in continuum mechanics.

Relations, Sequences and Summations

Covers topics on relations, sequences, and summations, including lattices, recurrence relations, and sigma notation.

Relations and Sequences

Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.