All the Mathematics You Missed pdf epub mobi txt 电子书下载 2026

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出版者:Cambridge University Press

作者:Thomas A. Garrity

出品人:

页数:376

译者:

出版时间:2001-11-12

价格:USD 44.99

装帧:Paperback

isbn号码:9780521797078

丛书系列:

图书标签:

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

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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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碾揪生课程良好预备

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一本试图以数学打通各个理工科的自学教辅/休闲读物，将近400页居然能覆盖如此广泛的数学~做到每一专题都是brief overview实属不易，值得赞赏的是很多原创的思维隐藏在了初次证明里面，然并，原来懂的还是一眼就明白了，原来读不懂的还是不懂...

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for graduate students

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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。

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正在分辨不清雅可比矩阵与黑赛矩阵，或者一致连续与逐点连续，或者散度与旋度，或者测度与度量的时候，遇到了这本书。