Mathematical Induction

此應用程序包含解決MI相關問題的所有基本材料

This App contains all basic material for solving problems related to MI

Mathematical induction is a mathematical proof technique. It is essentially used to prove that a property P(n) holds for every natural number n, i.e. for n = 0, 1, 2, 3, and so on. Metaphors can be informally used to understand the concept of mathematical induction, such as the metaphor of falling dominoes or climbing a ladder.The method of induction requires two cases to be proved. The first case, called the base case (or, sometimes, the basis), proves that the property holds for the number 0. The second case, called the induction step, proves that, if the property holds for one natural number n, then it holds for the next natural number n + 1. These two steps establish the property P(n) for every natural number n = 0, 1, 2, 3, ... The base step need not begin with zero. Often it begins with the number one, and it can begin with any natural number, establishing the truth of the property for all natural numbers greater than or equal to the starting number.

Following parts of function are discussed in the app

1) Introduction of mathematical induction

2) Preparation for induction

3) The principle of MI

4) Examples of MI

5) Historical Notes about MI

Some more sections in the app will be added later

This app is especially useful for students preparing for CBSE, ICSE and IITJEE.