The main areas covered are:

• telescoping sums and products in algebra and trigonometry
• the use of complex numbers and de Moivre’s Formula
• Abel’s summation formula
• mathematical induction
• combinatorial identities
• multiplicative functions and the use of Mobius function.

The theory is presented together with rich examples. At the end, you are invited to solve problems from a list of 125 questions divided into three levels.