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    A FIRST STEP TO MATHEMATICAL OLYMPIAD PROBLEMS

    by Derek Holton (University of Otago, New Zealand)

    See also See also A SECOND STEP TO MATHEMATICAL OLYMPIAD PROBLEMS

    The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the first 8 of 15 booklets originally produced to guide students intending to contend for placement on their country's IMO team.

    The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions.

    Though A First Step to Mathematical Olympiad Problems is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions.

     
    Contents:
    • Jugs and Stamps: How to Solve Problems
    • Combinatorics I
    • Graph Theory
    • Number Theory 1
    • Geometry 1
    • Proof
    • Geometry 2
    • Some IMO Problems
     
    Readership: School students keen to learn more of mathematics and specifically mathematics related to the IMO; coaches and instructors of mathematical competitions.
     
    “This book continues the tradition making national and international mathematical competition problems available to a wider audience and is bound to appeal to anyone interested in mathematical problem solving. The reviewer recommends this book to all students curious about elementary mathematics and how to learn it through solving problems. Teachers would find this book to be a welcome resource for organizing their activities at a high level.”
    Zentralblatt MATH
     
    292pp    Pub. date: Jul 2009  
    ISBN:   978-981-4273-87-9(pbk)
    981-4273-87-2(pbk)
       US$35 / £26

     


     

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    Updated on 13 February 2012