Mathematical Problems and Puzzles from the Polish Mathematical Olympiads

Stefan Straszewicz, "Mathematical Problems and Puzzles from the Polish Mathematical Olympiads"
Pergamon Press 1965 ASIN: B0000CMPWZ 367 pages PDF 29,3 MB

This book is a translation of the second Polish edition, published in 1960, in which various improvements were made.

The contest for secondary school pupils known as the Mathematical Olympiad has been held in Poland every year since 1949/50.

The problems set at the contests require only a knowledge of school mathematics (i.e., elementary algebra, geometry and trigonometry) but are on the whole more difficult than the usual school exercises.

COMMENT:

Although long out of print and hard to find, this is MUST read for aspiring contestants in the AMC/AIME/USAME mathematics contests. If you only have time for a couple of books to review and study, this should be one of them.

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Discrete Mathematics With Algorithms (Repost)

Discrete Mathematics With Algorithms
Publisher: John Wiley & Sons | ISBN: 0471849022 | edition 1988 | PDF | 560 pages | 12,8 mb

This first-year course in discrete mathematics requires no calculus or computer programming experience. The approach stresses finding efficient algorithms, rather than existential results. Provides an introduction to constructing proofs (especially by induction), and an introduction to algorithmic problem-solving. All algorithms are presented in English, in a format compatible with the Pascal programming language. Contains many exercises, with answers at the back of the book (detailed solutions being supplied for difficult problems).

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