Challenges in Geometry

Author: Christopher J. Bradley
Publisher: Oxford University Press on Demand
ISBN: 0198566913
Format: PDF
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Containing numerous exercises, illustrations, hints and solutions, presented in a lucid and thought-provoking style, this text provides a wide range of skills required in competitions such as the Mathematical Olympiad. With more than fifty problems in Euclidean geometry, it is ideal for Mathematical Olympiad training and also serves as a supplementary text for students in pure mathematics, particularly number theory and geometry.

The IMO Compendium

Author: Dušan Djukić
Publisher: Springer Science & Business Media
ISBN: 9781441998545
Format: PDF, ePub
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"The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.

First Steps for Math Olympians

Author: J. Douglas Faires
Publisher: MAA
ISBN: 9780883858240
Format: PDF, ePub, Mobi
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Provide students with the tools to solve problems that are found on mathematical problem-solving exams.

Geometry

Author: John R. Silvester
Publisher: Oxford University Press on Demand
ISBN: 9780198508250
Format: PDF, ePub, Docs
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This book is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other branches of mathematics. It is a teaching text, with a large number of exercises woven into the exposition. Topics covered: ruler and compass r s1tructions, transformations, triangle and circle theorems, classification of isometries and groups of isometries in dimensions 2 and 3, Platonic solids, conics, similarities, affine, projective and Mobius transformations, non-Euclidean geometry, projective geometry, the beginnings of algebraic geometry.

Mathematical Olympiad Challenges

Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 9780817646110
Format: PDF, ePub
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Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory Historical insights and asides are presented to stimulate further inquiry Emphasis is on creative solutions to open-ended problems Many examples, problems and solutions, with a user-friendly and accessible style Enhanced motivatio References

Introduction to Circle Packing

Author: Kenneth Stephenson
Publisher: Cambridge University Press
ISBN: 9780521823562
Format: PDF, Mobi
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Kenneth Stephenson introduces a new mathematical topic known as 'circle packing', taking the reader from first definitions to latest theory, computations and applications.

Solving Mathematical Problems

Author: Terence Tao
Publisher: OUP Oxford
ISBN: 0199205612
Format: PDF, ePub, Docs
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Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of14 years and above in pure mathematics.