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Discovering Imaginary Numbers in Everyday Life
By Qiujiang Lu
0 - Default Title
Description
Complex numbers were first introduced so that all polynomials would have solutions.Traditionally, a top-down approach has been taken in the development of complexnumber theory based on ¿² = -1. By contrast, the author's work uses a bottom-upapproach in which rotational numbers are introduced to rotate physical vectors throughmultiplication. As a result, the re-creation of the imaginary unit, complex numbers andEuler's formula as well as the discovery of a rotational number set can then be achievedin the reality without relying on ¿² = -1. This removes learners' skepticism aboutcomplex numbers by redefining the imaginary unit as a self-evident presence in dailylife, and makes the complex plane interchangeable with the familiar x-y plane, whichhas a direct connection to the real world. The work opens up the opportunity to explore,extend and share the newly gained comprehensive understanding about complexnumbers for the thorough demystification, popularization and empowerment to broadereducational levels including elementary 6th grade and up.
Like the real number set for 1D (one-dimensional) arithmetic, the existence of therotational number set gives rise to 2D arithmetic that greatly simplifies the learning byallowing elementary students to use the familiar position and rotation concepts of thephysical world without the deep abstract knowledge behind complex numbers. Thecontemporary ubiquitous use of touch-screens on mobile phones indicates that selectinga point on a surface can actually be more primitive and intuitive than selecting a pointon a line, making the 2D arithmetic more appealing. The goal of the book is to providean essential read for anyone wanting to keep abreast of the latest understanding ofcomplex numbers for inspirational learning and teaching.
Product details
Number of Pages:
192
Release Date:
2025-05-08
Publication Date:
2025-05-08
Publisher:
MathWonder
Languages:
Original:
English
ISBN13:
9798992754322
GPSR Manufacturer Reference:
Weight:
437 g
Height:
157 cm
Width:
235 cm
Thickness:
15 cm
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