The main areas covered are: (1) telescoping sums and products in algebra and trigonometry; (2) the use of complex numbers and de Moivre's formula; (3) Abel's summation formula; (4) mathematical induction; (5) combinatorial identities; and (6) multiplicative functions and the use of Möbius function.
The theory is presented together with rich examples. At the end, readers are invited to solve problems from a list of 125 questions divided into three levels.
A publication of XYZ Press. Distributed in North America by the American Mathematical Society.
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