A First Step to Mathematical Olympiad Problems

Author: Derek Holton
Publisher: World Scientific Publishing Company
ISBN: 9814365254
Format: PDF, ePub, Mobi
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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.

A Second Step to Mathematical Olympiad Problems

Author: Derek Holton
Publisher: World Scientific Publishing Company
ISBN: 9813100737
Format: PDF, ePub, Docs
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See also A FIRST 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 booklets originally produced to guide students intending to contend for placement on their country's IMO team. See also A First Step to Mathematical Olympiad Problems which was published in 2009. 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 Second 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.

Selected Problems of the Vietnamese Mathematical Olympiad 1962 2009

Author: Hai Chau Le
Publisher: World Scientific
ISBN: 9814289590
Format: PDF, Kindle
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Vietnam has actively organized the National Competition in Mathematics and since 1962, the Vietnamese Mathematical Olympiad (VMO). On the global stage, Vietnam has also competed in the International Mathematical Olympiad (IMO) since 1974 and constantly emerged as one of the top ten. To inspire and further challenge readers, we have gathered in this book selected problems of the VMO from 1962 to 2008. A number of Selection Test problems are also included to aid in the formation and training of a national team for IMO. The book is highly useful for high school students and teachers, coaches and instructors preparing for mathematical olympiads, as well as non-experts simply interested in having the edge over their opponents in mathematical competitions.

Lecture Notes on Mathematical Olympiad Courses

Author: Jiagu Xu
Publisher: World Scientific
ISBN: 9814293547
Format: PDF, ePub
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Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate number of test questions is available for reader's practice and testing purpose. Their detailed solutions are also conveniently provided. The examples are not very complicated so that readers can easily understand. There are many real competition questions included which students can use to verify their abilities. These test questions are from many countries, e.g. China, Russia, USA, Singapore, etc. In particular, the reader can find many questions from China, if he is interested in understanding mathematical Olympiad in China. This book serves as a useful textbook of mathematical Olympiad courses, or as a reference book for related teachers and researchers.

Probability and Expectation

Author: Zun Shan
Publisher: World Scientific Publishing Company
ISBN: 9813141514
Format: PDF, ePub, Mobi
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In China, lots of excellent students who are good at maths take an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they have won the first place almost every year. The author is one of the senior coaches of China's IMO National Team, whose students have won many gold medals many times in IMO. This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. This book will, in an interesting problem-solving way, explain what probability theory is: its concepts, methods and meanings; particularly, two important concepts — probability and mathematical expectation (briefly expectation) — are emphasized. It consists of 65 problems, appended by 107 exercises and their answers.

Vom Gl ck des Strebens

Author: Chris Guillebeau
Publisher: books4success
ISBN: 3864702674
Format: PDF, ePub
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Und jedem Streben wohnt ein Glück inne ... Zu Fuß quer durch die USA wandern oder so viele Vogelarten wie möglich beobachten - das sind nur zwei Beispiele für ungewöhnliche Herausforderungen, denen sich ganz gewöhnliche Menschen gestellt haben. Chris Guillebeau beschreibt, wie das Streben nach selbst gesteckten Zielen Sinn und Glück in das eigene Leben bringt. Chris Guillebeau hat sein Projekt, alle Länder dieser Erde zu bereisen, umgesetzt. Und er hat erkannt: Nicht das Ziel an sich ist am wichtigsten, sondern der Weg dorthin. Nach etwas streben, planen, äußere und innere Hürden überwinden - all dies macht uns oft glücklicher und lässt uns innerlich mehr wachsen als das Erreichen des Ziels selbst. Zahlreiche inspirierende Beispiele sowie praktische Ratschläge weisen dem Leser den Weg: So findet er seine ganz persönliche Herausforderung, so geht er sie an und verleiht damit seinem Leben mehr Bedeutung.

First Steps for Math Olympians

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

Topics in Algebra and Analysis

Author: Radmila Bulajich Manfrino
Publisher: Birkhäuser
ISBN: 331911946X
Format: PDF, Kindle
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The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.