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

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Jing-zhong Zhang (Guangzhou University, China & Chinese Academy Of Sciences, China) Xicheng Peng (Central China Normal University, China)

Solving Problems In Point Geometry

Insights And Strategies For Mathematical Olympiad And Competitions

Jing-zhong Zhang (Guangzhou University, China & Chinese Academy Of Sciences, China), Xicheng Peng (Central China Normal University, China), Yongsheng Rao (Guangzhou University, China) , Siran Lei (Guangzhou University, China)

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English

World Scientific Publishing Co Pte Ltd
19 December 2024

Geometry; Topology

Series: Mathematical Olympiad Series

Summary
Details

For over two millennia, the complexities of elementary geometry have challenged learners, burdened by the intricacies of auxiliary graphics and cumbersome calculations. Inspired by Leibniz's query, this book introduces a groundbreaking method: point geometry. By operating directly on points, it integrates the strengths of coordinate, vector, and mass point methods, simplifying operations and problem-solving.

Central to this method is the identity approach, which streamlines complex problems into concise equations, unlocking multiple propositions with ease. Through meticulously crafted examples, readers are invited to explore the joy of mathematical thinking.

Beyond mathematics, point geometry holds promise for artificial intelligence, offering a simple yet rich knowledge representation and reasoning method. With most solutions generated by computer programs, the potential for simplifying reasoning methods is immense, paving the way for a brighter future in both education and AI advancement.

In this ambitious endeavor, the authors seek to simplify knowledge representation and reasoning, reduce the burden of learning, and accelerate the progress of artificial intelligence. This book is not just a guide to geometry; it's a catalyst for transformative thinking and discovery.

Edited by: Jing-zhong Zhang (Guangzhou University China & Chinese Academy Of Sciences China), Xicheng Peng (Central China Normal University, China)
Translated by: Yongsheng Rao (Guangzhou University China), Siran Lei (Guangzhou University, China), Ying Wang (Guangzhou University, China)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 23
ISBN: 9789811294105
ISBN 10: 9811294100
Series: Mathematical Olympiad Series
Pages: 236
Publication Date: 19 December 2024
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active