Introduction to Complex Analysis Course, Lecture 1, Complex Arithmetic, Cardano's Formula

In lecture 1, learn the fundamentals of complex arithmetic and the history of complex numbers, including Cardano's formula for solving a cubic equation. Introduction to Complex Analysis Course Textbook: Fundamentals of Complex Analysis (Saff and Snider): https://amzn.to/2ZHRKsO. The main content starts at 19:29. Amazon Prime Student 6-Month Trial: https://amzn.to/3iUKwdP. Journey Through Genius: https://amzn.to/2QhQfOU. Check out my blog: https://infinityisreallybig.com/ Complex Analysis Playlist:    • Introduction to Complex Analysis Course, L...   ⏱️TIMESTAMPS⏱️ (0:00) Introduction. (2:02) Syllabus. (11:00) Module 1: Complex Number Addition and the Complex "Argand" Plane, Activity 1. (19:29) Complex arithmetic examples (the complex number system forms a field under ordinary addition and multiplication). (32:31) Check the division with Mathematica. (34:03) Extra videos about Mathematica usage for complex arithmetic (Chapter 1). (36:03) Mobius transformations revealed video. (40:23) Inversion transformation on Mathematica. (42:44) Real cube root function in Mathematica. (43:50) History of complex numbers and a couple examples related to Cardano's formula (also see Mathologer's video on the cubic formula linked below). (58:11) Ungraded exercise to do before Lecture #2. Mathologer 500 years of NOT teaching THE CUBIC FORMULA. What is it they think you can't handle?    • 500 years of NOT teaching THE CUBIC FORMUL...   AMAZON ASSOCIATE As an Amazon Associate I earn from qualifying purchases.