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Covers 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; and multiplicative functions and the use of Mobius function. The theory is presented together with rich examples.
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.
Description
Covers 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; and multiplicative functions and the use of Mobius function. The theory is presented together with rich examples.
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.
