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] epub pdf mobi txt 电子书 下载 2024

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] epub pdf mobi txt 电子书 下载 2024

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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] epub pdf mobi txt 电子书 下载 2024

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内容简介

　　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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前言/序言

　　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] epub pdf mobi txt 电子书 下载 2024

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] 下载 epub mobi pdf txt 电子书 2024

评分☆☆☆☆☆

书好，但分2次发。8号买的，还有一批还没到。

评分☆☆☆☆☆

很不错的书，内容很详细，很适合自己！真心不错！

评分☆☆☆☆☆

大家写的书，值得一看?

评分☆☆☆☆☆

想有一本几何专题的书 好好学习

评分☆☆☆☆☆

壳子皱了 影响心情 东西不错 很专业 就是贵了些

评分☆☆☆☆☆

《解析几何》突出几何思想的教育，强调形与数的结合；方法上强调解析法和综合法并重；内容编排上采用"实例－理论－应用"的方式，具体易懂；内容选取上兼顾各类高校的教学情况，具有广泛的适用性。《解析几何》表达通顺，说理严谨，阐述深入浅出。因此，《解析几何》是一本颇具特色、为广大高校欢迎的解析几何课程教材。《解析几何》可作为综合性大学和师范类大学数学系、物理系等相关学科的教材，对于那些对几何学有兴趣的大学生和其他读者也是一本适宜的课外读物或参考书

评分☆☆☆☆☆

学习参考书，希望有帮助。

评分☆☆☆☆☆

代数大师赛尔的的著作，装帧很好，物流速度一如继往的迅速。价格合理，非常满意。

评分☆☆☆☆☆

不知为何，这本书送来时封皮很脏，不过还算可以接受了

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