Irish Mathematical Olympiad Manual

2013-07-29
Irish Mathematical Olympiad Manual

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  • Author: J. Cruickshank
  • Publisher: Lulu.com
  • ISBN: 0954426983
  • Category : Education
  • Languages : en
  • Pages : 182

This Manual was primarily written to assist Irish secondary-school students who are preparing to compete in the Irish Mathematical Olympiad (held in May each year) or the International Mathematical Olympiad (held each July). It has also proved useful in other countries, and is popular among people who simply enjoy mathematics. The Mathematical Olympiads are written examinations, based on what is called "second--level mathematics". There are significant variations between countries in the content of second--level programmes in Mathematics. Thus, Irish competitors find themselves faced with problems that require background knowledge that is not covered in the Senior Cycle programme for Irish schools. In order to have a reasonable chance of success, they need to master this material. The authors are academics who have many years experience as voluntary trainers of Olympiad contestants and in other mathematical enrichment activities for young people. The selection of material is based on this experience.

Irish Mathematical Olympiad Manual

2008
Irish Mathematical Olympiad Manual

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  • Author: James Cruickshank
  • Publisher: Fastprint Publishing
  • ISBN: 9780954426972
  • Category : Mathematics
  • Languages : en
  • Pages : 167

Maynooth Mathematical Olympiad Manual

2002
Maynooth Mathematical Olympiad Manual

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  • Author: Gary McGuire
  • Publisher:
  • ISBN: 9780954426903
  • Category : Mathematics
  • Languages : en
  • Pages : 143

Riordan Arrays: A Primer

2017-01-09
Riordan Arrays: A Primer

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  • Author: Paul Barry
  • Publisher: Lulu.com
  • ISBN: 1326855239
  • Category : Combinatorial analysis
  • Languages : en
  • Pages : 310

The aim of this text is to introduce the beginner to the theory of Riordan arrays. Starting in a simple and constructive manner, the basic structure of these arrays is explained with clear examples, before a more theoretical grounding is provided. Ordinary Riordan arrays and exponential Riordan arrays are examined, with many explicit examples, and their applications to combinatorics and other areas are explored. The production matrix of a Riordan array is shown to play a key role, along with various sequence characterizations. Formal prerequisites are kept to a minimum, in order to provide a gentle introduction to this exciting area, that involves linear algebra, group theory and combinatorics. The reader will be well positioned to further explore Riordan arrays and their applications, and to undertake their own projects. They will join a community of interested mathematicians that now spans all continents, in a growing area of research and application.

A First Step to Mathematical Olympiad Problems

2009-07-30
A First Step to Mathematical Olympiad Problems

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  • Author: Derek Holton
  • Publisher: World Scientific Publishing Company
  • ISBN: 9814365254
  • Category : Mathematics
  • Languages : en
  • Pages : 292

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.

How to Prepare for Math Olympiads

2019-11-04
How to Prepare for Math Olympiads

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  • Author: Nairi Sedrakyan
  • Publisher:
  • ISBN: 9781705586013
  • Category :
  • Languages : en
  • Pages : 281

This book is intended as a teacher's manual and a self-study handbook for high-school or college students, and mathematical competitors. It consists mainly of problems created by the authors, with author-prepared-solutions, which were used in different national and international Mathematical Olympiads from 1984 to 2019. The book is arranged by topic and difficulty level. The book gives a broad view of mathematics and goes well beyond the elementary mathematics by providing deeper treatments of the following topics: Geometry and Trigonometry, Number theory, Algebra, Combinatorics and Calculus.

The Mathematical Olympiad Handbook

1997
The Mathematical Olympiad Handbook

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  • Author: Anthony Gardiner
  • Publisher:
  • ISBN:
  • Category : British Mathematical Olympiad
  • Languages : en
  • Pages : 229

The Art and Craft of Problem Solving

2017
The Art and Craft of Problem Solving

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  • Author: Paul Zeitz
  • Publisher: John Wiley & Sons
  • ISBN: 1119239907
  • Category : Problem solving
  • Languages : en
  • Pages : 389

This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.

Number Theory

2009-06-12
Number Theory

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  • Author: Titu Andreescu
  • Publisher: Springer Science & Business Media
  • ISBN: 0817646450
  • Category : Mathematics
  • Languages : en
  • Pages : 384

This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for solving. Starting with the essentials, the text covers divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Included are sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems. By emphasizing examples and applications the authors motivate and engage readers.

Maths Enrichment

1997
Maths Enrichment

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  • Author: Ric Publications Staff
  • Publisher: R.I.C. Publications
  • ISBN: 1863114904
  • Category : Mathematics
  • Languages : en
  • Pages : 29

The book contains blackline masters of stimulating activities in mathematics.._