In this chapter we'll try and learn to prove certain results or statements that are formulated in terms of n with the help of specific technique, known as principle of mathematical induction.
We will learn how to map pairs of objects from two sets and then introduce the idea of relations between the pair. Finally, we will learn about a special type of relation called a 'function'.
In this chapter we'll be extending the real number system to a larger system so as to solve equations which are not possible within the system of real numbers. We will finally get introduced to the infamous 'imaginary numbers' which you will soon realize are as 'real' as the real numbers that you are already quite familiar with. Equipped with this new weapon called complex numbers, we will revisit quadratic equations from a new point of view.
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