[Minor Print Defect] Unfortunately, a small error got into this print run, so we’re offering it at a significant discount. The smaller image on the back cover came out at a lower resolution than intended - you can see the level of pixelation in the first two images. Note that the interior paper is a satin finish, where we typically use a more matte finish. The satin finish improves graphic resolution & color, but is a little harder to write on, especially in pencil. If you plan on writing in your book, especially in pencil, we recommend waiting for the next print run.

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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.

• Chapters 14 and 15 give deep dives into Euler’s incredible formula and Schrodinger’s Equation.

• 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. Schrodinger’s Equation

• Printed in full color on high quality paper & binding

• 8.75x11.25”

• 204 pages, 128 color figures

• Now shipping to Australia, Austria, Belgium, Canada, Chile, Czech Republic, Denmark, United States, Estonia, Finland, France, Germany, Hungary, Iceland, Ireland, Italy, Japan, Malaysia, Mexico, The Netherlands, New Zealand, Norway, Peru, Poland, Portugal, Saudi Arabia, Singapore, South Africa, South Korea, Spain, Sri Lanka, Sweden, Switzerland, Thailand, UAE, United Kingdom, Uruguay. Stay tuned for further expansion and join our waitlist here more updates: https://www.welchlabs.com/international-shipping-waitlist

  • Note that we have had to temporarily turn off shipping to Israel due to unexpected shipping surcharges

• NOTES FOR BUYERS OUTSIDE THE US:

  • Please include a phone number in your shipping address and do not include a business name to expedite the customs process

  • We cannot deliver to PO Boxes

• International shipping is via FedEx International Connect Plus. VAT, GST, and Duties are covered in the flat rate.

• Domestic and international shipping times are 2-8 days.