Euclidean Geometry in Mathematical Olympiads PDF Download

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.

Author: Michael C. G.
Publisher:
ISBN:
Category :
Languages : en
Pages : 120

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Book Description
The Mathematical Olympiads for Elementary School are open mathematical Olympiads for students from 1st to 4th grade of elementary school, and they have been held every year in the city of Moscow since 1996, their first editions taking place in the facilities of the Moscow State University - Maly Mekhmat. Although initially these Olympiads were conceived for students of a study circle of elementary school, then it was extended to students in general since 2005. Being the Technological University of Russia - MIREA its main headquarters today. Likewise, these Olympiads consist of two rounds, a qualifying round and a final round, both consisting of a written exam. The problems included in this book correspond to the final round of these Olympiads, for the 4th grade of elementary school. In this workbook has been compiled all the Olympiads held during the years 2011-2020 and is especially aimed at schoolchildren between 9 and 10 years old, with the aim that any student interested in mathematics either in preparing for a competition or in simply practicing entertaining problems to improve his math skills, challenging himself to solve these interesting problems (recommended even to elementary school children in upper grades with little or no experience in Math Olympiads and who require comprehensive preparation before a competition); or it could even be used for a self-evaluation in this competition, trying the student to solve the greatest number of problems in each exam in a maximum time of 2 hours. It can also be useful for teachers, parents, and study circles in mathematics. The book has been carefully crafted so that the student can work on the same book without the need for additional sheets. What will allow the student to have an orderly record of the problems already solved. Each exam includes a set of 8 problems from different school math topics. To be able to face these problems successfully, no greater knowledge is required than that covered in the school curriculum; however, many of these problems require an ingenious approach to be tackled successfully. Students are encouraged to keep trying to solve each problem as a personal challenge, as many times as necessary; and to parents who continue to support their children in their disciplined preparation. Once an answer is obtained, you can check it against the answers given at the end of the book.

Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817682538
Category : Mathematics
Languages : en
Pages : 256

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Book Description
Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.

Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817682228
Category : Mathematics
Languages : en
Pages : 125

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Book Description
"102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.

Author: Anthony Gardiner
Publisher: Oxford Science Publications
ISBN: 9780198501053
Category : Juvenile Nonfiction
Languages : en
Pages : 252

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Book Description
Olympiad problems help able school students flex their mathematical muscles. Good Olympiad problems are unpredictable: this makes them worthwhile but it also makes them seem hard and even unapproachable. The Mathematical Olympiad Handbook contains some of the problems and solutions from the British Mathematical Olympiads from 1965 to 1996 in a form designed to help bright students overcome this barrier.

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

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Book Description
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.

Author: Derek Allan 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.

Author: Arthur Engel
Publisher: Springer Science & Business Media
ISBN: 0387226419
Category : Mathematics
Languages : en
Pages : 404

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Book Description
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.

Author: u-smartkid Academy
Publisher: Createspace Independent Publishing Platform
ISBN: 9781974276219
Category :
Languages : en
Pages : 56

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Book Description
This contains IMO Workbook for class 3. It contains practice questions, Past question paper with answer keys. It includes different of questions. *** It contains different types of sections like * Numbers, * Addition and Subtraction, * Multiplication and Division, * Fractions, * Geometry, * Time, * Money, * Data Handling, * Logical Reasoning * Past Que Paper 2016 *** This book helps to practice more & get confidence about exam. *** Students will get good result who will go through this book.

Author: Michael C. G.
Publisher: Independently Published
ISBN:
Category :
Languages : en
Pages : 114

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Book Description
The International Mathematical Olympiad (IMO) is the World Math Competition for high school students and is held annually in a different country, establishing itself as the most prestigious Math competition that a high school student can aspire to take part. The first IMO was held in 1959 in Romania, with 7 participating countries. Since then, it has gradually expanded to more than 100 countries on 5 continents. Likewise, the IMO is a great opportunity for students to face original, challenging and interesting math problems; which can be used to measure their level of knowledge before other students from the rest of the world. Among the topics covered by the problems we have: Algebra, Combinatorics, Geometry and Number Theory. In this occasion we make available to the student, a bilingual edition (English-Spanish) of the exam with detailed solutions of the 61th International Mathematical Olympiad held virtually from Saint Petersburg - Russia in September 2020. Additionally, an appendix with problem statements from IMO exams between 2010 and 2019 is included at the end of each section of the book.