可视化复变函数
Visual Complex Functions
Elias Wegert · 初版 2012 年
4人推荐
5位读者提及
7次提及
本书系统地介绍了单复变函数。其新颖之处在于贯穿始终地使用了特殊的彩色图像表征——即所谓的相图（phase portraits）——将函数在定义域上以图像的形式直观呈现。阅读 Visual Complex Functions 除需要实微积分和平面几何的基础知识外，无需其他预备知识。本书内容自成一体，涵盖了复分析入门课程通常包含的所有主要课题。通过对各类构造原理、保角映射（conformal mappings）以及 Riemann surfaces 单独设章，本书的内容在某种程度上超越了……
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……帮我理清了对这门学科的直觉和思考。我建议每个大学数学系的学生都读一读，尤其是上完传统课程之后。（Wegert 的《Visual Complex Functions》也很推荐，但绝对不能拿来当主教材。）最后，我觉得换主教材只有在教授下决心用同样的思路去讲授时才行得通。如果书……
…crystalizing my intuition/thinking about the subject. I would recommend every university math student try reading it, especially after going through a traditional course. (Also recommended is Wegert’s book Visual Complex Functions, but definitely not as a primary text.) Finally, I suspect switching primary books is only going to work well if the professor makes a commitment to teaching using the same explanations. If the book…
怎么，就因为所有好书都是在科学家们还买不起带插图的书之前写的？:-p 看看这本：https://www.amazon.com/Visual-Complex-Functions-Introduction...
What, because all the good ones were written before scientists could afford books with pictures? :-p Check this out: https://www.amazon.com/Visual-Complex-Functions-Introduction...
一本好书是《Visual Complex Functions: An Introduction with Phase Portraits》：https://www.amazon.com/Visual-Complex-Functions-Introduction...
A good book is Visual Complex Functions: An Introduction with Phase Portraits: https://www.amazon.com/Visual-Complex-Functions-Introduction...
……精选的复变函数及其背景和相关数学家。我强烈建议读一读。一直积极为这份日历供稿的作者 Elias Wegert 教授/博士，也写了这里另一条评论提到的《Visual Complex Functions: An Introduction with Phase Portraits》。[1]: https://blogs.hrz.tu-freiberg.de/mathekalender/english/ 编辑：想买的话请跳转到德语页面
…selected complex functions and their background and related mathematicians. I would highly recommend reading them. Prof. Dr. Elias Wegert, the author who actively contributes to this calendar, also wrote Visual Complex Functions: An Introduction with Phase Portraits which is mentioned by another comment here. [1]: https://blogs.hrz.tu-freiberg.de/mathekalender/english/ Edit: Navigate to the german page if you want to buy it
Donald Sarason 的《Complex Function Theory》。关于复分析，有更厚、更全面的书。甚至还有更吸引人的，比如 Elias Wegert 的《Visual Complex Functions》。Sarason 这本书只有 160 页，文字通俗易懂，例题清晰。它涵盖了大学本科一门课的容量，并且把全纯函数（Holomorphic functions）讲得透透彻彻。……
Donald Sarason's "Complex Function Theory". There are bigger more complete books on complex analysis. There are even ones that are more appealing, like "Visual Complex Functions" by Elias Wegert. Sarason's book is only 160 pages long, with legible text and clear examples. It covers the length of an undergraduate university class, and explains Holomorphic functions perfectly.…
……得知 2024 年版是最后一期，心里挺难过的。我猜这大概是因为 Wegert 教授可能退休了吧。一直积极为这些日历供稿的作者 Elias Wegert 教授，还写过《Visual Complex Functions: An Introduction with Phase Portraits》[1]。[1]: https://doi.org/10.1007/978-3-0348-0180-5
…feel sad to learn that the 2024 version is the last one. I guess this is because Prof. Wegert may have retired. Prof. Elias Wegert, the author who actively contributes to these calendars, also wrote Visual Complex Functions: An Introduction with Phase Portraits[1]. [1]: https://doi.org/10.1007/978-3-0348-0180-5