The Art of Mathematical Discovery: Plausible Reasoning in Mathematical Exploration

Author: Yang Shiming Wang Xueqin
Publisher:
Publish Date: 2000-05-01
Features: This book is a specialized monograph on mathematical methodology written in the style of Polya. It integrates the ideas and methods of mathematics into mathematical research, discovery, exploration, and problem-solving. It serves as both a serious mathematics book and a methodological guide, as well as an engaging popular science work. It utilizes rich materials collected from the history of mathematics, mathematics textbooks, the works and manuscripts of numerous mathematicians, to, study the method of plausible reasoning. It explores typical thinking methods widely used in mathematical learning, problem-solving, and mathematical research, such as observation, experimentation, induction, analogy, association, conjecture, verification, generalization, limitation, as well as abstraction, generalization, deduction, and proof. This book is suitable for mathematics educators, middle school and university students, as well as.