Wednesday, June 30, 2010

Complex numbers

Guys, how good are you all in imaginations? Do you imagine things, or new ideas? I do and i am sure you also must be doing the same. Do you know we have imaginary numbers in mathematics also. Strange right, but true. We will learn on this more. Complex numbers is the topic i am going to discuss. Lets learn more on What is a complex number and different types of complex number.

Introduction to complex numbers:- It is a combination of real and imaginary numbers. These numbers have ordinary numbers which are real numbers but they extend themself by adding some extra numbers by addition and multiplication. These numbers are used in fields like engineering, electromagnetism, chaos theory and so on...These numbers can be represented as pair of numbers.

Lets assume if x and y are real numbers, then x + iy is called a complex number. Here x is called the real part and y is called the imaginary part. Square root of a negative number is known as an imaginary number.

Example of a complex number:- Z=x+iy

Different types of Complex numbers:- Equality of Complex numbers, Sum of two Complex numbers, Negative of a Complex number, Additive identity of the Complex number, Additive inverse of a Complex number, Product of two Complex numbers, Multiplicative identity of Complex numbers, Conjugate complex numbers, Quotient of two non-zero Complex numbers, Reciprocal of a non-zero complex number or multiplicative inverse of a non-zero complex number.

I have discussed the definition of complex number and what are the different types of complex number, i am sure you would have enjoyed as much as i enjoyed posting it. Let me know your comments on this.




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