Complex Numbers: Algebraic Structures and Applications

Related lectures (29)

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Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

Introduces complex numbers and defines their field, emphasizing properties and operations.

Covers selected topics in mathematics for students interested in foundational concepts and challenges.

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

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

Covers the fundamentals of complex analysis, focusing on complex functions, their properties, and applications in solving differential equations.

Covers the manipulation of algebraic laws on complex numbers.

Introduces real numbers, their properties, and their significance in analysis.

Introduces real analysis basics, including functions, sequences, limits, and set properties in R.

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.