Solving Problems In Geometry: Insights And Strategies For Mathematical Olympiad And Competitions

Solving Problems In Geometry: Insights And Strategies For Mathematical Olympiad And Competitions
Author :
Publisher : World Scientific Publishing Company
Total Pages : 357
Release :
ISBN-10 : 9789814583763
ISBN-13 : 9814583766
Rating : 4/5 (63 Downloads)

Synopsis Solving Problems In Geometry: Insights And Strategies For Mathematical Olympiad And Competitions by : Kim Hoo Hang

'This book is a useful reference for faculty members involved in contest preparation or teaching Euclidean geometry at the college level.'MAA ReviewsThis new volume of the Mathematical Olympiad Series focuses on the topic of geometry. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various types of geometrical problems are also introduced, while the authors elaborate extensively on how to acquire an insight and develop strategies in tackling difficult geometrical problems.This book is suitable for any reader with elementary geometrical knowledge at the lower secondary level. Each chapter includes sufficient scaffolding and is comprehensive enough for the purpose of self-study. Readers who complete the chapters on the basic theorems and techniques would acquire a good foundation in geometry and may attempt to solve many geometrical problems in various mathematical competitions. Meanwhile, experienced contestants in Mathematical Olympiad competitions will find a large collection of problems pitched at competitions at the international level, with opportunities to practise and sharpen their problem-solving skills in geometry.

Solving Problems in Geometry

Solving Problems in Geometry
Author :
Publisher : World Scientific Publishing Company
Total Pages : 250
Release :
ISBN-10 : 981458374X
ISBN-13 : 9789814583749
Rating : 4/5 (4X Downloads)

Synopsis Solving Problems in Geometry by : Kim Hoo Hang

This new volume of the Mathematical Olympiad Series focuses on the topic of geometry. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various types of geometrical problems are also introduced, while the authors elaborate extensively on how to acquire an insight and develop strategies in tackling difficult geometrical problems. This book is suitable for any reader with elementary geometrical knowledge at the lower secondary level. Each chapter includes sufficient scaffolding and is comprehensive enough for the purpose of self-study. Readers who complete the chapters on the basic theorems and techniques would acquire a good foundation in geometry and may attempt to solve many geometrical problems in various mathematical competitions. Meanwhile, experienced contestants in Mathematical Olympiad competitions will find a large collection of problems pitched at competitions at the international level, with opportunities to practise and sharpen their problem-solving skills in geometry.

A First Step To Mathematical Olympiad Problems

A First Step To Mathematical Olympiad Problems
Author :
Publisher : World Scientific Publishing Company
Total Pages : 292
Release :
ISBN-10 : 9789814365253
ISBN-13 : 9814365254
Rating : 4/5 (53 Downloads)

Synopsis A First Step To Mathematical Olympiad Problems by : Derek Allan Holton

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.

Euclidean Geometry in Mathematical Olympiads

Euclidean Geometry in Mathematical Olympiads
Author :
Publisher : American Mathematical Soc.
Total Pages : 311
Release :
ISBN-10 : 9781470466206
ISBN-13 : 1470466201
Rating : 4/5 (06 Downloads)

Synopsis Euclidean Geometry in Mathematical Olympiads by : Evan Chen

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.

Problems And Solutions In Mathematical Olympiad (High School 2)

Problems And Solutions In Mathematical Olympiad (High School 2)
Author :
Publisher : World Scientific
Total Pages : 607
Release :
ISBN-10 : 9789811229909
ISBN-13 : 9811229902
Rating : 4/5 (09 Downloads)

Synopsis Problems And Solutions In Mathematical Olympiad (High School 2) by : Shi-xiong Liu

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.

Problems of Number Theory in Mathematical Competitions

Problems of Number Theory in Mathematical Competitions
Author :
Publisher : World Scientific
Total Pages : 115
Release :
ISBN-10 : 9789814271141
ISBN-13 : 9814271144
Rating : 4/5 (41 Downloads)

Synopsis Problems of Number Theory in Mathematical Competitions by : Hong-Bing Yu

Number theory is an important research field of mathematics. In mathematical competitions, problems of elementary number theory occur frequently. These problems use little knowledge and have many variations. They are flexible and diverse. In this book, the author introduces some basic concepts and methods in elementary number theory via problems in mathematical competitions. Readers are encouraged to try to solve the problems by themselves before they read the given solutions of examples. Only in this way can they truly appreciate the tricks of problem-solving.

A Second Step to Mathematical Olympiad Problems

A Second Step to Mathematical Olympiad Problems
Author :
Publisher : World Scientific
Total Pages : 312
Release :
ISBN-10 : 9789814327879
ISBN-13 : 9814327875
Rating : 4/5 (79 Downloads)

Synopsis A Second Step to Mathematical Olympiad Problems by : Derek Allan Holton

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.

Problem-Solving Strategies

Problem-Solving Strategies
Author :
Publisher : Springer Science & Business Media
Total Pages : 404
Release :
ISBN-10 : 9780387226415
ISBN-13 : 0387226419
Rating : 4/5 (15 Downloads)

Synopsis Problem-Solving Strategies by : Arthur Engel

A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Geometric Inequalities: In Mathematical Olympiad And Competitions

Geometric Inequalities: In Mathematical Olympiad And Competitions
Author :
Publisher : World Scientific Publishing Company
Total Pages : 145
Release :
ISBN-10 : 9789814696500
ISBN-13 : 9814696501
Rating : 4/5 (00 Downloads)

Synopsis Geometric Inequalities: In Mathematical Olympiad And Competitions by : Gangsong Leng

In China, lots of excellent maths students take an active interest 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 won the first place almost every year.The author is one of the 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. The book elaborates on Geometric Inequality problems such as inequality for the inscribed quadrilateral, the area inequality for special polygons, linear geometric inequalities, etc.

103 Trigonometry Problems

103 Trigonometry Problems
Author :
Publisher : Springer Science & Business Media
Total Pages : 222
Release :
ISBN-10 : 9780817644321
ISBN-13 : 0817644326
Rating : 4/5 (21 Downloads)

Synopsis 103 Trigonometry Problems by : Titu Andreescu

* Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training