Algebraic number

A real or complex number is called an algebraic number if it is a solution of some one-variable polynomial equation whose coefficients are all integers. All rational numbers are algebraic numbers, along with some irrational numbers. For example, the golden ratio $φ = \frac{1 + \sqrt{5}}{2} = 1.618...$ is a solution to the equation $x^{2} - x - 1 = 0$ . A real or complex number that is not algebraic is called transcendental.

While this is an abstract notion, theoretical mathematics has potentially far-reaching applications in communications and computer science, especially in data encryption and security.

References

↑ "What is algebraic number? - Definition from WhatIs.com". WhatIs.com. Retrieved 2020-11-09.

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[1] "What is algebraic number? - Definition from WhatIs.com". WhatIs.com. Retrieved 2020-11-09.