Complex Numbers Introduction
Introduction - Consider a simple quadratic equation x 2 + 1 = 0. There is no real number which satisfies this equation. So there was a need to find a system which could answer to this problem. Euler used the symbol 'i' to denote to solve the above equation. Complex number..
Introduction - Consider a simple quadratic equation x 2 + 1 = 0. There is no real number which satisfies this equation. So there was a need to find a system which could answer to this problem. Euler used the symbol 'i' to denote to solve the above equation. Complex number..Prime and Composite numbers
Method of finding Prime numbers - We can find out the prime numbers using, The Sieve of Eratosthenes metho..
Place Value of Decimal Number
- Here is an illustraion to understand the place value in decimal numbers. Let us consider a decimal number 502.71 Here the place value of given decimal number can be identified as given in the below diagra..
- Here is an illustraion to understand the place value in decimal numbers. Let us consider a decimal number 502.71 Here the place value of given decimal number can be identified as given in the below diagra..Method of finding Prime numbers
We can find out the prime numbers using, The Sieve of Eratosthenes method..
Numbers-names and symbols
In English the numbers have been named 'one,two,three.... etc.These are called number names. To keep an account of the operations, the numerals 1,2,3,...etc existed in English..
Rational and Irrational Numbers Introduction
Introduction - The sets of numbers which every student must remember are: The set of natural numbers N = {1, 2, 3, 4, 5, } The set of whole numbers W = {0, 1, 2, 3, 4, 5,} The set of integers Z = I = {, -3, -2, -1, 0, 1, 2, 3,} The set of rational numbers Q T..
Introduction - The sets of numbers which every student must remember are: The set of natural numbers N = {1, 2, 3, 4, 5, } The set of whole numbers W = {0, 1, 2, 3, 4, 5,} The set of integers Z = I = {, -3, -2, -1, 0, 1, 2, 3,} The set of rational numbers Q T..Equality of Complex numbers
Two complex numbers are equal iff their corresponding real parts and imaginary parts are separately equal..
Two complex numbers are equal iff their corresponding real parts and imaginary parts are separately equal..Comparison of decimal numbers
1.65; 1.95; 1.65 Observe the digit in the units pace.They are same. Observe the decimal numbers.The biggest decimal number is 9 Therefore 1.95 is the greatest. Now observe 1.68 and 1.65.Here the digit in the unit place is same.The digit of the tenth pace is aso the same.5 i..
Sum of two Complex numbers
If Z 1 = a + ib and Z 2 = x + iy, then we define their sum as Z 1 + Z 2 = (a + ib) + (x + iy) = (a + x) + i(b + y) which is a complex number..
Exponential form of a Complex number
If z = x + iy then e z = e (x + iy) = e x e iy ? e z = e x {cos y + i sin y} is called the Exponential form of the Complex number..
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