Definition of Complex Numbers Field

Related lectures (32)

Page 2 of 4

Introduces fundamental concepts of Analysis I, focusing on functions of a variable and numerical sequences.

Covers the Cartesian representation of complex numbers and basic operations involving them.

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Covers the representation and properties of complex numbers, including real and imaginary parts and geometric applications.

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

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

Covers the construction and properties of complex numbers, introducing the new constant 'i'.

Explores polynomial operations, properties, and subspaces in vector spaces.

Covers the manipulation of algebraic laws on complex numbers.

Covers the polar form of complex numbers and its applications in mathematical calculations.