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　　黎曼曲面及其模空间的概念由黎曼分别在其博士毕业论文和一篇著名的文章中定义。由于与数学和物理的许多学科联系广泛，黎曼曲面及其模空间得到了深入的研究，并将继续吸引人们的关注。近期热带曲线的研究迅速崛起。热带代数曲线是经典复数域上代数曲线以及黎曼曲面在热带半环上的一种模拟。
　　《黎曼曲面和热带曲线的模空间导引（英文版）》深入浅出地介绍了以上几个重要数学分支，并且重点强调如代数几何、复几何、双曲几何、拓扑、几何群理论和数学物理等不同学科之间的关联。季理真是美国密歇根大学教授，研究兴趣涉及几何、拓扑和分析领域，以及这些领域之间的联系，喜欢阅读和写作，曾获得Sloan研究奖。
　　Eduard Looijenga是世界代数几何学家之一，荷兰皇家艺术和科学院院士，现任教于清华大学。

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　　analogy with locally symmetric spaces， which by definition are obtained as orbit space of symmetric spaces endowed with an action of an arithmetic group. This analogy， though imperfect， has been very fruitful in the past decades， as it suggested both problems and solutions.
　　As we mentioned， compact Riemann surfaces can also be regarded as algebraic curves over the complex numbers. In the past few years， there has been an explosion of work on their tropical counterparts， i.e.， algebraic curves over the tropical semifield. These have appeared in many unexpected topics and make currently a very active area of study. It turns out that the moduli spaces of tropical curves also fit into the above analogy，in the sense that these are the orbit spaces of tropical Teichmuller spaces by outer automorphism groups of free groups. The outer automorphism groups of free groups are among the most important groups in geometric group theory， and the tropical Teichmuller spaces were studied as spaces of marked metric graphs before the subject of tropical geometry （and its name） existed.
　　Given the rich history of Riemann surfaces and their moduli spaces， and their generalizations， applications and connections with other subjects， it seems helpful to provide an accessible and timely introduction to all the above topics， while emphasizing the underlying connections. The current book is an attempt towards this goal. It consists of two parts. The first part deals with mapping class groups of surfaces， Teichmuller spaces and their applications to moduli spaces of Riemann surfaces， whereas the second part deals with tropical analogues and some applications in geometric group theory. Though these parts were conceived independently， together they cover both basic and essential results in these subjects as well as some recent developments. Although there exist several works on some of the above topics， we hope and believe that the nature of the subject justifies our offering of our own perspective on this wonderful world.
黎曼曲面和热带曲线的模空间导引（英文版） [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] 电子书 下载 mobi epub pdf txt

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　　出版塞尔先生《有限群导引》一书，是一次偶然的机会，小编去清华大学丘成桐数学中心，见到了年纪轻轻就在数学期刊《数学年刊》发表过文章的青年才俊于品老师。 于品老师在法国读的硕士，对塞尔先生甚是推崇，尤其是对他的著作赞不绝口。于品给我提到塞尔先生有一篇大约80页的法文讲义还没有出版。我问他有没有兴趣翻译成英文和中文出版，他爽快地答应了。

评分☆☆☆☆☆

很好

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塞尔老爷爷的著作，每一本都值得收藏。

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包装很完整，快递相对较快，排版不错。

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应该是需要已经有一定的代数几何基础了，再来读的专题书籍！！！

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塞尔老爷爷的著作，每一本都值得收藏。

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合并同类项很不错的老师德艺双馨

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　　小编在与塞尔先生因《有限群导引》一书打交道的过程中，深刻地体会到了老一代数学家身上具备的对待学术认真、执着优良品质。而且这样一位伟大的数学家，完全没有大数学家的派头，逢邮件必及时回，经常告知书稿进展，非常nice，但同时也是一个非常固执但固执得有道理的老头。

评分☆☆☆☆☆

好

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