Introduction to Complex Analysis Course Lecture 1 Complex Arithmetic Cardanos Formula

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=_haat15Cuig

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 Cour... • ⏱️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 F... • AMAZON ASSOCIATE • As an Amazon Associate I earn from qualifying purchases.

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