无穷小呼唤同路人

近日，老翁发表三篇短文，吐露了我的心声。培养大批微积分人才，关乎国家建设之大事。

经过近三百年的努力，数学家借助无穷小建立起现代数学大厦。饮水不忘掘井人。研究数学，必须还原历史，尊重我们的先辈。

我年事已高，加之视力不好（青光眼），玩不转智能手机。我决定在读者中找寻知音，共同普及无穷小微积分、

我发现，这两天读者人数锐减，留下的却是“铁杆”粉丝。希望有兴趣者在短文留言中留下您的联系方式。我会在第一时间及时联系您！

以下三段文字，说明了一些问题，请您参阅，坚定自己的信念。

袁萌  11月26日

 Leibniz exploited infinitesimals in developing calculus, manipulating them in ways suggesting that they had paradoxical algebraic properties. George Berkeley, in a tract called The Analyst and also in De Motu, criticized these. （注意）A recent study argues that Leibnizian calculus was free of contradictions, and was better grounded than Berkeley's empiricist criticisms.^[74]

                  From 1711 until his death, Leibniz was engaged in a dispute with John Keill, Newton and others, over whether Leibniz had invented calculus independently of Newton. This subject is treated at length in the article Leibniz–Newton calculus controversy.

                  The use of infinitesimals in mathematics was frowned upon by followers of Karl Weierstrass,^{[citation needed]} but survived in science and engineering, and even in rigorous mathematics, via the fundamental computational device known as the differential. Beginning in 1960, Abraham Robinson worked out a rigorous foundation for Leibniz's infinitesimals, using model theory, in the context of a field of hyperreal numbers. The resulting non-standard analysis can be seen as a belated vindication of Leibniz's mathematical reasoning. Robinson's transfer principle is a mathematical implementation of Leibniz's heuristic law of continuity, while the standard part function implements the Leibnizian transcendental law of homogeneity.

（全文完）