MATHSLEARNING

 PRINCIPLE OF MATHEMATICAL INDUCTION   The process of drawing a valid general result from particulat result is called the process of induction. The principle of mathematical induction{PMI} is a mathematical process which is used to establish the validity of a general result involving natural numbers.  Statement  A sentence is called statement if it is either true or false but not both . Example-"two plus five is equal to seven"" is a statement because the sentence true. A statement concerning the natural  number 'n'  is generally denoted by (n) Example- If P(n)) denotes the statement : ''n(n+1) is an even number'', then  P(2)=2(2+1)=6 is an even number and                                                                                      P...

 POLYNOMIAL In mathematics, a polynomial is  an expression consisting of indeterminates  (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. ... Polynomials appear in many areas of mathematics and science. In   mathematics , a   polynomial   is an   expression   consisting of   indeterminates   (also called   variables ) and   coefficients , that involves only the operations of   addition ,   subtraction ,   multiplication , and non-negative   integer   exponentiation   of variables. An example of a polynomial of a single indeterminate   x   is   x 2  − 4 x  + 7 . An example in three variables is   x 3  + 2 xyz 2  −  yz  + 1 . Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For exa...

 ADDITION,SUBTRACTION,MULTIPLICATION,DIVISION Addition 3 + 2 = 5 with apples, a popular choice in textbooks Addition   (usually signified by the plus symbol  + ) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or  sum  of those values combined. The example in the adjacent image shows a combination of three apples and two apples, making a total of five apples. This observation is equivalent to the mathematical expression  "3 + 2 = 5"  (that is, "3  plus  2 is equal to 5"). Besides counting items, addition can also be defined and executed without referring to concrete objects, using abstractions called numbers instead, such as integers, real numbers and complex numbers. Addition belongs to arithmetic, a b...