Sums and Products

by Titu Andreescu, Marian Tetiva

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.

Genres: Mathematics

340 pages, Hardcover

Published April 15, 2018

About the author

Titu Andreescu is an associate professor of mathematics at the University of Texas at Dallas. He is also firmly involved in mathematics contests and Olympiads, being 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.