Selection Tests In Number Theory For Mathematical Olympiads
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Selection Tests In Number Theory For Mathematical Olympiads
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Author : Corneliu Mănescu-Avram
language : en
Publisher: Springer Nature
Release Date : 2024-07-27
Selection Tests In Number Theory For Mathematical Olympiads written by Corneliu Mănescu-Avram and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-27 with Mathematics categories.
This book gathers carefully chosen selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries. Offering a blend of original solutions and adaptations by the author, this work is chronologically organized and provides a unique insight into the evolution of this mathematical contest. The proposed problems touch on topics such as the Chinese remainder theorem, Diophantine equations, Fermat's theorem, Euler's theorem, perfect squares, sequences of integers, and Pythagorean triples, to name a few. A meticulously crafted index helps the reader navigate through the topics with ease. This book serves as an invaluable preparation tool for both aspiring students and those passionate about mathematics alike.
Mathematical Olympiads 2000 2001
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Author : Titu Andreescu
language : en
Publisher: MAA
Release Date : 2003-10-16
Mathematical Olympiads 2000 2001 written by Titu Andreescu and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-16 with Mathematics categories.
Problems and solutions from Mathematical Olympiad. Ideal for anyone interested in mathematical problem solving.
Selected Problems Of The Vietnamese Mathematical Olympiad 1962 2009
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Author : Hai Chau Le
language : en
Publisher: World Scientific
Release Date : 2010
Selected Problems Of The Vietnamese Mathematical Olympiad 1962 2009 written by Hai Chau Le and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
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.
102 Combinatorial Problems
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
102 Combinatorial Problems written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Mathematics categories.
"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.
Euclidean Geometry In Mathematical Olympiads
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Author : Evan Chen
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-08-23
Euclidean Geometry In Mathematical Olympiads written by Evan Chen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-23 with Education categories.
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.
Introduction To Math Olympiad Problems
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Author : Michael A. Radin
language : en
Publisher: CRC Press
Release Date : 2021-06-24
Introduction To Math Olympiad Problems written by Michael A. Radin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-24 with Mathematics categories.
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
A Path To Combinatorics For Undergraduates
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
A Path To Combinatorics For Undergraduates written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
The main goal of the two authors is to help undergraduate students understand the concepts and ideas of combinatorics, an important realm of mathematics, and to enable them to ultimately achieve excellence in this field. This goal is accomplished by familiariz ing students with typical examples illustrating central mathematical facts, and by challenging students with a number of carefully selected problems. It is essential that the student works through the exercises in order to build a bridge between ordinary high school permutation and combination exercises and more sophisticated, intricate, and abstract concepts and problems in undergraduate combinatorics. The extensive discussions of the solutions are a key part of the learning process. The concepts are not stacked at the beginning of each section in a blue box, as in many undergraduate textbooks. Instead, the key mathematical ideas are carefully worked into organized, challenging, and instructive examples. The authors are proud of their strength, their collection of beautiful problems, which they have accumulated through years of work preparing students for the International Math ematics Olympiads and other competitions. A good foundation in combinatorics is provided in the first six chapters of this book. While most of the problems in the first six chapters are real counting problems, it is in chapters seven and eight where readers are introduced to essay-type proofs. This is the place to develop significant problem-solving experience, and to learn when and how to use available skills to complete the proofs.
Problems And Solutions In Mathematical Olympiad High School 1
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Author : Bin Xiong
language : en
Publisher: World Scientific
Release Date : 2022-04-07
Problems And Solutions In Mathematical Olympiad High School 1 written by Bin Xiong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-07 with Mathematics categories.
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.
Mathematical Olympiad In China 2007 2008
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Author : Xiong Bin
language : en
Publisher: World Scientific
Release Date : 2009
Mathematical Olympiad In China 2007 2008 written by Xiong Bin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Juvenile Nonfiction categories.
The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in the IMO 21 times since 1985 and has won the top ranking for countries 14 times, with a multitude of golds for individual students. The six students China has sent every year were selected from 20 to 30 students among approximately 130 students who took part in the annual China Mathematical Competition during the winter months. This volume comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2006 to 2008. Mathematical Olympiad problems with solutions for the years 2002OCo2006 appear in an earlier volume, Mathematical Olympiad in China."
Problem Solving Strategies
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Author : Arthur Engel
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-19
Problem Solving Strategies written by Arthur Engel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-19 with Mathematics categories.
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.