Winning solutions
type: Item
instance of: scholarly article
title: Winning solutions
zbMATH Open document ID: 0852.00001
author: Edward Lozansky
author: Cecil Rousseau
published in: Problem Books in Mathematics
publication date: 1996-08-11T00:00:00Z
review text: This preparation book for high school competitors in national and international Olympiads covers techniques and background in key nongeometric areas. The first chapter, ``Numbers'', treats induction, congruence, complex numbers, progressions and diophantine equations. The second, ``Algebra'', includes material on polynomials and inequalities. The final chapter, ``Combinatorics'', handles recurrences, generating functions, combinatorial avaraging and extremal problems along with standard elementary topics. Each section has illustrative worked examples as well as exercises, many from Olympiad and Putnam papers, for which an appendix contains hints and answers. Each chapter concludes with ten ``Olympiad problems''. This is a valuable resource for capable secondary students and their teachers.
Mathematics Subject Classification ID: 00A07
zbMATH DE Number: 914853
zbMATH Keywords: problem-solving
zbMATH Keywords: school mathematics
zbMATH Keywords: Olympiads
reviewed by: Edward J. Barbeau
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 914853