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Related lectures (21)

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Explores modular arithmetic, emphasizing inverses and equations in Z/mZ, with practical examples and exercises.

Explores division in rational numbers and the extension of addition from integers.

Covers the concept of element inverse for multiplication in complex numbers.

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.

Covers the basics of group theory, including definitions, examples, and isometries.

Explores orthogonality, eigenvalues, and diagonalization in linear algebra, focusing on finding orthogonal bases and diagonalizing matrices.

Introduces group theory concepts, including definitions and properties of groups, rings, and fields.

Covers the inverse element for multiplication and introduces the Euler and Moivre formulas in complex numbers.