All the Mathematics You Missed pdf epub mobi txt 电子书 下载 2025
- 数学
- Mathematics
- 科普
- 科学
- 思维
- 物理学
- 數學
- Math
- 数学基础
- 高等数学
- 微积分
- 线性代数
- 概率统计
- 数学分析
- 抽象代数
- 拓扑学
- 应用数学
- 数学思维
具体描述
Beginning graduate students in mathematics and other quantitative subjects are expected to have a daunting breadth of mathematical knowledge. But few have such a background. This 2002 book will help students to see the broad outline of mathematics and to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential geometry, real analysis, point-set topology, probability, complex analysis, abstract algebra, and more. An annotated bibliography then offers a guide to further reading and to more rigorous foundations. This book will be an essential resource for advanced undergraduate and beginning graduate students in mathematics, the physical sciences, engineering, computer science, statistics, and economics who need to quickly learn some serious mathematics.
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终于翻完了这本小巨著，深觉会的部分讲得好浅，不会的部分看这个也不能入门QAQ
评分大概高中生就能读，没有看最后几章，感觉最难的是微分形式那章偷懒放下了，对本科数学各部分的核心做了介绍，想了解数学各个领域都是研究什么可以从这本书开始
评分It's similar to having dinner with a mathematician who can't stop talking about the topics they love.
评分适合美国高年级本科生看，研究生偶尔也可以回头看看入门下没学过的领域。这本书的缺点和优点是一样的：面面俱到但是每个点都没办法细说。不是说每个领域都要完全cover，但是离五星的差距就是没足够的insight和高观点。当然，it does a pretty good job on what it is supposed to do。然而靠这本书是没办法考过中等以上美国学校的phd资格考试的，不过光想靠这本就混过去那也没读phd的必要了。
评分It's similar to having dinner with a mathematician who can't stop talking about the topics they love.
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