Difference between revisions of "Complex Numbers"
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Complex numbers are helpful in finding the square root of negative numbers. The concept of complex numbers was first referred to in the 1st century by a Greek mathematician, ''Hero of Alexandria'' when he tried to find the square root of a negative number. But he merely changed the negative into positive and simply took the numeric root value. Further, the real identity of a complex number was defined in the 16th century by Italian mathematician ''Gerolamo Cardano'', in the process of finding the negative roots of cubic and quadratic polynomial expressions. | |||
== Definition == | |||
A complex number is the sum of a real number and an imaginary number. A complex number is of the form <math>a+ib</math> and is usually represented by <math>z</math>. Here both <math>a</math> and <math>b</math> are real numbers. The value '<math>a</math>' is called the real part which is denoted by <math>Re \ z</math>Re(z), and '<math>b</math>' is called the imaginary part <math>Im\ z</math>. Also, <math>ib</math> is called an imaginary number. | |||
Revision as of 11:10, 3 November 2023
Complex numbers are helpful in finding the square root of negative numbers. The concept of complex numbers was first referred to in the 1st century by a Greek mathematician, Hero of Alexandria when he tried to find the square root of a negative number. But he merely changed the negative into positive and simply took the numeric root value. Further, the real identity of a complex number was defined in the 16th century by Italian mathematician Gerolamo Cardano, in the process of finding the negative roots of cubic and quadratic polynomial expressions.
Definition
A complex number is the sum of a real number and an imaginary number. A complex number is of the form and is usually represented by . Here both and are real numbers. The value '' is called the real part which is denoted by Re(z), and '' is called the imaginary part . Also, is called an imaginary number.