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'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 ...
In China, lots of excellent maths students takes 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 always been among the top 3, in fact in the first place most of the time.The authors of this book are coaches of the China national team. They are Xiong Bin, Yao Yijun, Qu Zhenhua, et al. The translator of this book is Chen Xiaomin.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2015-2016). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
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.
In China, lots of excellent maths students 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 won the first place almost every year.The authors of this book are coaches of the China national team. They are Xiong Bin, Yao Yijun, Qu Zhenhua et al. Those who took part in the translation work are Zhao Wei and Zhou Tianyou.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2019-2020). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
The International Mathematical Olympiad (IMO) is a very important competition for high school students. China has taken part in the IMO 31 times since 1985 and has won the top ranking for countries 19 times, with a multitude of gold medals for individual students. The six students China has sent every year were selected from 60 students among approximately 300 students who took part in the annual China Mathematical Competition during the winter months.This book includes the problems and solutions of the most important mathematical competitions from 2010 to 2014 in China, such as China Mathematical Competition, China Mathematical Olympiad, China Girls' Mathematical Olympiad. These problems are almost exclusively created by the experts who are engaged in mathematical competition teaching and researching. Some of the solutions are from national training team and national team members, their wonderful solutions being the feature of this book. This book is useful to mathematics fans, middle school students engaged in mathematical competition, coaches in mathematics teaching and teachers setting up math elective courses.
Like its predecessor, Proofs without Words, this book is a collection of pictures or diagrams that help the reader see why a particular mathematical statement may be true and how one could begin to go about proving it. While in some proofs without words an equation or two may appear to help guide that process, the emphasis is clearly on providing visual clues to stimulate mathematical thought. The proofs in this collection are arranged by topic into five chapters: geometry and algebra; trigonometry, calculus and analytic geometry; inequalities; integer sums; and sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students to think visually in mathematics.
In China, lots of excellent maths students 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 won the first place almost every year.The authors of this book are coaches of the China national team. They are Xiong Bin, Yao Yijun, Qu Zhenhua, et al. Those who took part in the translation work are Wang Shanping and Chen Haoran.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2017-2018). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
This book examines the development of Chinese literature journals and social ideologies from 1931 to 1938, combining first-hand historical materials, historical data and four important literature journals to study the competition and cooperation between various powers such as the Kuomintang, the CCP, the “Third Party”, and intellectuals. This book describes the most influential Chinese literature journals and their political background during that period, and explains the relations between disparate political and social powers, helping to decipher Chinese intellectuals’ cultural positions during this time. The author concludes with the provocative thesis that there was a progression in...
This study guide for the Chemistry Olympiad contains summarized concepts and examples in all areas of chemistry. The chapters are arranged in a logical manner and establishes connections between concepts. Undergraduate chemistry concepts are explained clearly: every equation in physical chemistry is derived and justified while every organic reaction has its reaction mechanism shown and explained, without assuming that readers have university-level background in the subject. The book also contains original Chemistry Olympiad sample problems that readers may use to test their knowledge.This is a first book of its kind, written by Nan Zhihan, International Chemistry Olympiad (IChO) gold medallist and winner of the International Union of Pure and Applied Chemistry (IUPAC) Prize for achieving the highest score in the experimental exam, and experienced Chemistry Olympiad trainer Dr Zhang Sheng, who has served as head mentor of Singapore IChO team for many years. It builds on the experience of both a participant and trainer to help any aspiring Chemistry Olympiad student understand the challenging concepts in chemistry.
"It is generally believed that Mao Zedong’s populism was an abrupt departure from traditional Chinese thought. This study demonstrates that many of its key concepts had been developed several decades earlier by young May Fourth intellectuals, including Liu Fu, Zhou Zuoren, and Gu Jiegang. The Chinese folk-literature movement, begun at National Beijing University in 1918, changed the attitudes of Chinese intellectuals toward literature and toward the common people. Turning their backs on “high culture” and Confucianism, young folklorists began “going to the people,” particularly peasants, to gather the songs, legends, children’s stories, and proverbs that Chang-tai Hung here describes and analyzes. Their focus on rural culture, rural people, and rural problems was later to be expanded by the Chinese Communist revolutionaries."