Lecture

Complex Numbers: Introduction and Properties

Description

This lecture introduces complex numbers as an extension of real numbers to solve equations like x² = 2 that have no solutions in the set of rational numbers. It explains the need to 'widen' the number system to include solutions to such equations, leading to the construction of the set of complex numbers. The lecture covers the definition of complex numbers, their operations, and properties, such as the modulus and the fundamental theorem of algebra. It also explores the relationship between real and complex numbers, highlighting how complex numbers simplify certain calculations and provide solutions to equations that are unsolvable in the real number system.

About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.