数学教育家帕帕斯女士所著的本系列图书是美国经典通俗数学科普作品，至今重印二十余次，对学生和对数学感兴趣的人极具吸引力。本系列图书通过300多个简单明了又各自独立的数学逸闻、游戏、谜题等，融方法于故事，寓知识于趣味，带领读者探索数学在生活中的潜在规律，揭示数学的奥秘及其对人类的影响，帮助读者在意想不到的地方发现数学的精妙，在不知不觉中产生对数学的兴趣和喜爱。本册是系列图书的第三本，由91个独立的篇章组成，涵盖大量数学知识，如摆线、蚌线、视幻觉、混沌理论等，帮助读者轻松进入数学的天地。

在入门篇中简单地介绍了75×75：？等印度数学的“乘法十法则”。在中级篇中将介绍加法、减法、乘法、除法、分数、估算、验算等印度数学的32种“魔法法则”，将会越来越有趣哦。在家庭生活篇中告诉读者生活中的、翻新工作、购物、家庭菜园与园艺、兴趣爱好、学习都暗藏着速算法则，掌握了这些法则后你的心算能力会得到很大的提高。 接下来，让我们一起到印度教学的世界里畅游吧！

既然事件发生的概率微乎其微，为何还会不断发生，为什么我们理应预计到它们会出现？在这本中，统计学家大卫·汉德给出了答案，他将不同的概率原理合并成统一的解释：奇迹法则。这本书不仅能吸引那些热衷惊人巧合和极度罕见事件的读者，还适合那些对用一个简单大胆想法就能串起不同领域现象赌博、天气、空难、创意写作、生命起源，甚至宇宙极感兴趣的人。

This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons. I expanded the book in 1971, and I expand it still further today. Specifically, I have added three chapters on Riemannian and pseudo Riemannian geometry, that is, covariant derivatives, curvature, and some applications up to the Hopf-Rinow and Hadamard-Cartan theorems, as well as some calculus of variations and applications to volume forms. I have rewritten the sections on sprays, and I have given more examples of the use of Stokes' theorem. I have also given many more references to the literature, all of this to broaden the perspective of the book, which I hope can be used among things for a general course leading into many directions. The present book still meets the old needs, but fulfills new ones.