Imaginary numbers are not some wild invention, they are the deep and natural result of extending our number system. Imaginary numbers are all about the discovery of numbers existing not in one dimension along the number line, but in full two dimensional space, giving a richer and complete mathematics and unlocking very tangible problems in science and engineering.

• Using clear and colorful visuals and plenty of illuminating historical context, this book gives a detailed and compelling introduction to imaginary numbers.

• The first 13 chapters follow the popular Welch Labs Imaginary Numbers are Real YouTube Series - giving more detailed figures and explanations, and carefully designed thought provoking exercises.

• Download chapters 1-2 for free here.

• Chapters 14 and 15 give deep dives into Euler’s incredible formula and applications of complex numbers.

• Chapters 1-13 were initially released in 2016 with the Imaginary Numbers are Real YouTube series, and have been corrected, expanded, and revised.

• Chapter listing: 1. Introduction 2. A Little History 3. Cardan's Problem 4. Bombelli's Solution 5. Numbers are Two Dimensional 6. The Complex Plane 7. Complex Multiplication 8. Math Wizardry 9. Closure 10. Complex Functions 11. Wandering in Four Dimensions 12. Riemann's Solution 13. Riemann Surfaces 14. Euler’s Formula 15. Applications of Imaginary Numbers

• Your order includes pdf download of 2016 book pdf today, and the 2024 pdf book on Dec 9, 2024.

• 120+ pages