【2019.10】数学画册A Mathematical Picture Book，共339页。

如何才能想象一条曲线填满整个平面或整个空间？

How can one visualize a curve that fills the entire plane or all of space? 

多面体能平滑地由内向外翻转吗？

Can a polyhedron be smoothly turned inside out? 

什么是投影平面？

What is the projective plane?

四维空间是什么样子的？

What does four-dimensional space look like?

肥皂泡不是球形的吗？

Can soap bubbles exist that are not spherical? 

怎样才能更好地了解漩涡和水流的结构？

How can one better understand the structure of vortices and currents? 

在这本书中，你将从视觉的角度体验数学，从而发现迷人的和从未出版过的图像，并为上述问题提供说明性的例子。

In this book you will experience mathematics from the visual point of view, discovering fascinating and never previously published images that offer illustrative examples to the above questions. 

每幅图片都附有一段简短的解释性文字、进一步阅读的参考资料和一些Web链接，您可以从中获得更多进一步的信息。

Every picture is accompanied by a brief explanatory text, references to further reading, and a number of web links where you can obtain further information.

这本书是为所有的数学朋友——学生、教师、业余爱好者和专业人士——设计的，他们希望看到的不仅仅是枯燥的文字和无休止的公式。

This book is intended for all friends of mathematics―students, teachers, amateurs, and professionals―who want to see something beyond dry text and endless formulas. 

本书将为进一步探讨以前似乎无法触及的话题提供灵感。

It will provide inspiration for pursuing further one or another topic that may previously have seemed inaccessible. 

你将从一个全新的、丰富多彩的角度了解数学。

You will get to know mathematics from a totally new and colorful viewpoint.

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