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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.

Category:

Science

Cover:

Hardback

Edition Number:

1

ISBN:

9780999342817

Pages:

340

Author:

Andreescu Titu

Publisher:

XYZ PRESS

Release Year:

2018

Titu Andreescu (born 1956) is an associate professor of mathematics at the University of Texas at Dallas. He is also firmly involved in mathematics contests and olympiads, having been the Director of AMC (as appointed by the Mathematical Association of America ), Director of MOP, Head Coach of the USA IMO Team and Chairman of the USAMO. He has also authored a large number of books on the topic of problem solving and olympiad style mathematics.