A First Step to Mathematical Olympiad Problems

A First Step to Mathematical Olympiad Problems PDF Author: Derek Holton
Publisher: World Scientific Publishing Company
ISBN: 9814365254
Category : Mathematics
Languages : en
Pages : 292

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Book Description
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 First Step to Mathematical Olympiad Problems

A First Step to Mathematical Olympiad Problems PDF Author: Derek Holton
Publisher: World Scientific Publishing Company
ISBN: 9814365254
Category : Mathematics
Languages : en
Pages : 292

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Book Description
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.

First Steps for Math Olympians: Using the American Mathematics Competitions

First Steps for Math Olympians: Using the American Mathematics Competitions PDF Author: J. Douglas Faires
Publisher: American Mathematical Soc.
ISBN: 1470451263
Category : Education
Languages : en
Pages : 307

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Book Description
Any high school student preparing for the American Mathematics Competitions should get their hands on a copy of this book! A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions (AMC) have been given for more than fifty years to millions of high school students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone taking the AMC exams or helping students prepare for them will find many useful ideas here. But people generally interested in logical problem solving should also find the problems and their solutions interesting. This book will promote interest in mathematics by providing students with the tools to attack problems that occur on mathematical problem-solving exams, and specifically to level the playing field for those who do not have access to the enrichment programs that are common at the top academic high schools. The book can be used either for self-study or to give people who want to help students prepare for mathematics exams easy access to topic-oriented material and samples of problems based on that material. This is useful for teachers who want to hold special sessions for students, but it is equally valuable for parents who have children with mathematical interest and ability. As students' problem solving abilities improve, they will be able to comprehend more difficult concepts requiring greater mathematical ingenuity. They will be taking their first steps towards becoming math Olympians!

A Second Step to Mathematical Olympiad Problems

A Second Step to Mathematical Olympiad Problems PDF Author: Derek Allan Holton
Publisher: World Scientific
ISBN: 9814327875
Category : Mathematics
Languages : en
Pages : 312

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Book Description
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.

Mathematical Olympiad Challenges

Mathematical Olympiad Challenges PDF Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 9780817641900
Category : Mathematics
Languages : en
Pages : 296

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Book Description
A collection of problems put together by coaches of the U.S. International Mathematical Olympiad Team.

A Second Step To Mathematical Olympiad Problems

A Second Step To Mathematical Olympiad Problems PDF Author: Derek Allan Holton
Publisher: World Scientific Publishing Company
ISBN: 9813100737
Category : Mathematics
Languages : en
Pages : 312

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Book Description
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.

Introduction to Math Olympiad Problems

Introduction to Math Olympiad Problems PDF Author: Michael A. Radin
Publisher: CRC Press
ISBN: 1000396665
Category : Mathematics
Languages : en
Pages : 160

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Book Description
Introduction to Math Olympiad Problems aims to introduce high school students to all the necessary topics that frequently emerge in international Math Olympiad competitions. In addition to introducing the topics, the book will also provide several repetitive-type guided problems to help develop vital techniques in solving problems correctly and efficiently. The techniques employed in the book will help prepare students for the topics they will typically face in an Olympiad-style event, but also for future college mathematics courses in Discrete Mathematics, Graph Theory, Differential Equations, Number Theory and Abstract Algebra. Features: Numerous problems designed to embed good practice in readers, and build underlying reasoning, analysis and problem-solving skills Suitable for advanced high school students preparing for Math Olympiad competitions

Selected Problems of the Vietnamese Mathematical Olympiad (1962-2009)

Selected Problems of the Vietnamese Mathematical Olympiad (1962-2009) PDF Author: Hai Chau Le
Publisher: World Scientific
ISBN: 9814289590
Category : Mathematics
Languages : en
Pages : 331

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Book Description
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.

Problems And Solutions In Mathematical Olympiad (High School 2)

Problems And Solutions In Mathematical Olympiad (High School 2) PDF Author: Shi-xiong Liu
Publisher: World Scientific
ISBN: 9811229902
Category : Mathematics
Languages : en
Pages : 607

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Book Description
The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.

Central European Olympiad, A: The Mathematical Duel

Central European Olympiad, A: The Mathematical Duel PDF Author: Geretschlager Robert
Publisher: World Scientific
ISBN: 9813223928
Category : Mathematics
Languages : en
Pages : 292

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Book Description
This book contains the most interesting problems from the first 24 years of the "Mathematical Duel," an annual international mathematics competition between the students of four schools: the Gymnázium Mikuláše Koperníka in Bílovec, Czech Republic, the Akademicki Zespół Szkół Ogólnokształcących in Chorzów, Poland, the Bundesrealgymnasium Kepler in Graz, Austria and the Gymnázium Jakuba Škody in Přerov, Czech Republic. The problems are presented by topic, grouped under the headings Geometry, Combinatorics, Number Theory and Algebra, which is typical for olympiad-style competitions. Above all, it is of interest to students preparing for mathematics competitions as well as teachers looking for material to prepare their students, as well as mathematically interested enthusiasts from all walks of life looking for an intellectual challenge. Contents: IntroductionNumber TheoryAlgebraCombinatoricsGeometry4! Years of Problems Readership: General public, students and teachers preparing for olympiad-style mathematical competitions Keywords: Mathematics Competition;Problem SolvingReview: Key Features: The wide selection of problems makes it especially interesting for students and teachers preparing for olympiad-style mathematical competitionsThe participants in this particular competition range in age from 13 to 18, and the problems are created with this wide range in mindAny interested reader is bound to find something interesting to suit their own level of experience

Euclidean Geometry in Mathematical Olympiads

Euclidean Geometry in Mathematical Olympiads PDF Author: Evan Chen
Publisher: American Mathematical Soc.
ISBN: 1470466201
Category : Education
Languages : en
Pages : 311

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Book Description
This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.