Summation and Sequences: Notation and Formulas

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Related lectures (12)

Summation and Sequences: Notations and Formulas

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

Symmetries and Conservation Laws

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

Mathematical Basics: Index Notation and Tensors

Covers index notation basics and introduces tensors and their transformations.

Thermodynamics of Continuous Media

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

Cartesian Product: Sets and Recurrence

Explores the Cartesian product of sets, subsets, and recurrence in mathematics with examples and exercises.

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.

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.

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

Relations, Sequences and Summations

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

Relations, Sequences, Summation: Summary of Week 5

Explores binary relations, sequences, and summation, including arithmetic and geometric progressions, recurrence relations, and cardinality of sets.

Relations and Sequences

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

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