problem solving tactics - amtt.com.au · pdf fileii that is why solutions are not provided to...

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978-1-876420-75-8AustrAl iAn MAtheMAt ics trust

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Angelo Di PAsquAle, was twice a contestant at the International M a t h e m a t i c a l O lympiad . He completed a PhD in Mathematics at The University of Melbourne studying alge-

braic curves. He is currently Director of Training for the Australian Mathematical Olympiad Committee (AMOC), and Australian Team Leader at the International Mathematical Olympiad. He enjoys composing Olympiad problems for mathematics contests.

no r m A n Do r e p r e s e n t e d A u s t r a l i a at the 1997 I n t e r n a t i o n a l Ma t h ema t i c a l O l y m p i a d . In 2010 he obtained a PhD in Mathematics from The Uni-

versity of Melbourne. He is now a lecturer at Monash University, where he researches problems that combine geometry, topology, combinatorics, and mathematical physics. He is currently the Chair of the AMOC Senior Problems Committee.

DAniel mAthews was twice a contestant at the International Ma t h ema t i c a l Olympiad. He obtained a PhD in Mathematics from Stanford University, Cal-ifornia. He is

currently a lecturer at Monash University and his research studies relationships between geometry, topology, and mathematical physics. He is a member of the AMOC Senior Problems Committee.

Published by

AMT Publishing

Australian Mathematics TrustUniversity of Canberra Locked Bag 1

Canberra GPO ACT 2601AUSTRALIA

Copyright 2014 AMT Publishing

Telephone: +61 2 6201 5137www.amt.edu.au

AMTT Limited ACN 083 950 341

National Library of Australia Card Number and ISSNAustralian Mathematics Trust Enrichment Series ISSN 1326-0170

Problem Solving Tactics ISBN 978-1-876420-75-8

Editor Mike ClAPPer, Canberra AusTrAliA

WArren J ATkins, Newcastle AusTrAliA

ed J bArbeAu, Toronto CAnAdA

george berzsenyi, Pine USA

ron dunkley, Waterloo CAnAdA

WAlTer e MienTkA, Lincoln usA

nikolAy konsTAnTinov, Moscow russiA

Andy liu, Edmonton CAnAdA

Andrei sTorozhev, Canberra AusTrAliA

JordAn b TAbov, Sofia bulgAriA

PeTer J TAylor, Canberra AusTrAliA

John Webb, Cape Town souTh AfriCA

The books in this series are selected for their motivating, interesting and stimulating sets of quality problems, with a lucid expository style in their solutions. Typically, the problems have occurred in either national or international contests at the secondary school level.

They are intended to be sufficiently detailed at an elementary level for the mathematically inclined or interested to understand but, at the same time, be interesting and sometimes challenging to the undergraduate and the more advanced mathematician. It is believed that these mathematics competition problems are a positive influence on the learning and enrichment of mathematics.

Editorial CommittEE

th E au s t r a l i a n mat h E m at i C s t r u s t

E n r i C h m E n t s E r i E s

1 AusTrAliAn MATheMATiCs CoMPeTiTion 19781984 book 1 WJ Atkins, JD Edwards, DJ King, PJ OHalloran & PJ Taylor

2 MATheMATiCAl ToolChesT AW Plank & NH Williams

3 inTernATionAl MATheMATiCs TournAMenT of ToWns 19841989 book 2 PJ Taylor

4 AusTrAliAn MATheMATiCs CoMPeTiTion 19851991 book 2 PJ OHalloran, G Pollard & PJ Taylor

5 ProbleM solving viA The AMC WJ Atkins

6 inTernATionAl MATheMATiCs TournAMenT of ToWns 19801984 book 1 PJ Taylor

7 inTernATionAl MATheMATiCs TournAMenT of ToWns 19891993 book 3 PJ Taylor

8 AsiAn PACifiC MATheMATiCs olyMPiAd 19892000 H Lausch & C Bosch Giral

9 MeThods of ProbleM solving book 1 JB Tabov & PJ Taylor

10 ChAllenge! 19911998 book 1 JB Henry, J Dowsey, AR Edwards, LJ Mottershead, A Nakos, G Vardaro & PJ Taylor

11 ussr MATheMATiCAl olyMPiAds 19891992 AM Slinko

12 AusTrAliAn MATheMATiCAl olyMPiAds 19791995 book 1 H Lausch & PJ Taylor

13 Chinese MATheMATiCs CoMPeTiTions And olyMPiAds 19811993 A Liu

14 Polish & AusTriAn MATheMATiCAl olyMPiAds 19811995 ME Kuczma & E Windischbacher

15 inTernATionAl MATheMATiCs TournAMenT of ToWns 19931997 book 4 PJ Taylor & AM Storozhev

T h e A u s T r A l i A n M A T h e M A T i C s T r u s T

e n r i C h M e n T s e r i e s

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