| 所在主题: | |
| 文件名: Robert_Ash_Remarks on Expository Writing in Mathematics.pdf | |
| 资料下载链接地址: https://bbs.pinggu.org/a-2190403.html | |
| 附件大小: | |
|
Robert B. Ash可能在发表文章上不是那么有名,但是他写的书很不错,可以说是devoted himself to write good textbooks.我读他的第一本书是2000的Probability and Measure Theory,是我转向stochastic calculus及financial math时系统看的第一本书,感觉非常好,concise, intuitive, to thepoint, and rigorous at same time。
下面是他写书时的一些观点(免费) A Pari/GP Tutorial - collection of definitions/explanations of basic concepts(免费) Successful graduate students in mathematics are able to reach an advanced level in one or more areas. Textbooks are an important part of this process. A skilled lecturer is able to illuminate and clarify many ideas, but if the pace of a course is fast enough to allow decent coverage, gaps will inevitably result. Students will depend on the text to fill these gaps, but the experience of most students is that the usual text is difficult for the novice to read. At one extreme, the text is a thousand page, twenty pound encyclopedia which cannot be read linearly in a finite amount of time. At the other extreme, the presentation in the book is essentially a seminar lecture with huge gaps. He offers six main recommendations 1. "Adopt a linear style" 2. "Include solutions to exercises" 3. "Discuss the intuitive content of results" 4. "Replace abstract arguments by algorithmic procedures if possible" 5. "Use the concrete example with all the features of the general case," and 6. "Avoid serious gaps in the reasoning." He concludes, I hope to see a change in the reward structure and system of values at researchoriented universities so that teaching and expository writing become legitimate as a specialty. This will help to improve the current situation in which many advanced areas of mathematics are inaccessible to most students because no satisfactory exposition exists. I hope to see more mathematicians write lecture notes for their courses and post the results on the web for all to use. 下面的书他写的比较受欢迎的一些当作教材的书。 |
|
熟悉论坛请点击新手指南
|
|
| 下载说明 | |
|
1、论坛支持迅雷和网际快车等p2p多线程软件下载,请在上面选择下载通道单击右健下载即可。 2、论坛会定期自动批量更新下载地址,所以请不要浪费时间盗链论坛资源,盗链地址会很快失效。 3、本站为非盈利性质的学术交流网站,鼓励和保护原创作品,拒绝未经版权人许可的上传行为。本站如接到版权人发出的合格侵权通知,将积极的采取必要措施;同时,本站也将在技术手段和能力范围内,履行版权保护的注意义务。 (如有侵权,欢迎举报) |
|
京ICP备16021002号-2 京B2-20170662号
京公网安备 11010802022788号
论坛法律顾问:王进律师
知识产权保护声明
免责及隐私声明