算法思想和方法的西传及对近代微积分的影响

The Westward Spread of Algorithm Ideas and Methods and Their Influence on Modern Calculus

中世纪东学西渐,东方的算法思想和方法也西传欧洲,并连同经济、社会与文化一道对近代微积分的形成产生了积极的影响。这种影响具体表现在"拟经验"数学范式的确立、微积分基本概念的酝酿、新数学学科的启迪以及创新型认知方式的转换等方面,具有深沉性、关键性、持久性和启发性等特征,其结果充分证明微积分的发明是"人类精神的卓越胜利"。

The algorithm ideas and methods of the East spread westward to Europe during the East to West of the Middle Ages,and positively influenced modern calculus together with the economy,society and culture.This influence mainly embodies in the establishment of"quasi empirical"mathematical paradigm,the formation of calculus basic concepts,the enlightenment to new mathematics and the conversion of innovative cognition styles,possesses the characteristics of profundity,criticality,persistence and enlightenment,and demonstrates the invention of calculus is"an excellent triumph of human spirit".