A very fascinating topic that has always caught my attention from when I was just grasping the initial roots of the fundamental block of the universe that is Mathematics was the concept of hyper complex number. According to van der Waerden (1985), a hyper complex number is a number having properties departing from those of the real and complex numbers. A purely technical definition of this would be ‘an element of a finite-dimensional algebra over the real numbers that is unite and distributive but not necessarily associative’. Historically, hyper complex numbers arose as a generalization of complex numbers, its application lies in trying to construct numbers whose role with respect to three-dimensional space corresponds to the role played by complex numbers with respect to the plane. The most common examples are Biquaternions, Exterior algebras, Group algebras, Matrices, Octonions, and Quaternions.
Sounds a bit complex isn’t it, most high grade Mathematics will appear so, but here at MathsOne, the top Maths tuition center in Kerala, these complex concepts are broken down and made simpler to the students for their better grasping and understanding.