Introduction to Complex Numbers: YouTube Workbook
Learn complex numbers with videos and workbook practice.
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- • Understand what complex numbers are and how they simplify mathematics
- • Practice operations, conjugates, modulus, and core identities step by step
- • Convert between Cartesian, polar trig, and polar exponential forms
- • Learn Euler’s and De Moivre’s formulas and apply them to powers/roots
- • Work with regions in the complex plane and factor complex polynomials
الوصف
This workbook, designed to be used alongside the author’s free online video tutorials, introduces complex numbers step by step. Through short learning modules, you work through key ideas such as the imaginary unit, the Cartesian form of a complex number, and basic operations including addition, subtraction, multiplication, division, and the quadratic formula in the complex setting. You then explore the complex conjugate and its properties, measure complex numbers using modulus, and rewrite them in polar trig and polar exponential forms. Later chapters connect complex numbers with trigonometry and Euler’s formula, develop De Moivre’s formula, and apply these tools to powers, roots, and complex polynomial factoring. The book supports learning through examples and accompanying practice as you watch each video.
فهرس المحتويات
How to use this workbook About the author Acknowledgments What is a complex number? Basic operations involving complex numbers What is the complex conjugate? How big are complex numbers? Polar trig form Polar exponential form Powers of complex numbers De Moivre’s formula Connecting sin, cos with e Regions in the complex plane Complex polynomials Bibliography
معاينة
This workbook is designed to be used in conjunction with the author’s free online video tutorials.
Inside this workbook each chapter is divided into learning modules (subsections), each having its own
dedicated video tutorial.
View the online video via the hyperlink located at the top of the page of each learning module, with
workbook and paper or tablet at the ready. Or click on the Introduction to Complex Numbers playlist
where all the videos for the workbook are located in chronological order:
Introduction to Complex Numbers
www.youtube.com/playlist?list=PLGCj8f6sgswm6oVMzqBbNXooFT43yqViP
www.tinyurl.com/ComplexNumbersYT.
While watching each video, ll in the spaces provided after each example in the workbook and annotate
to the associated text.
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