作者:
Thomas A. Garrity 出版社: Cambridge University Press 副标题: But Need to Know for Graduate School 出版年: 2001-11-12 页数: 376 定价: USD 44.99 装帧: Paperback ISBN: 9780521797078
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 und...
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.
作者简介
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Thomas A. Garrity is the Webster Atwell Class of 1921 Professor of Mathematics at Williams College, Massachusetts, where he was the director of the Williams College Project for Effective Teaching for many years. Among his awards are Rice University's Nicolas Salgo Outstanding Teaching award and the Haimo award of the MAA. His other books include Algebraic Geometry: A Problem So...
Thomas A. Garrity is the Webster Atwell Class of 1921 Professor of Mathematics at Williams College, Massachusetts, where he was the director of the Williams College Project for Effective Teaching for many years. Among his awards are Rice University's Nicolas Salgo Outstanding Teaching award and the Haimo award of the MAA. His other books include Algebraic Geometry: A Problem Solving Approach (2013, co-authored) and Electricity and Magnetism for Mathematicians (2015).
原文摘录
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Preface
Math is Exciting.We are living in the greatest age of mathematicsever seen. In the 1930s, there were some people who feared that the rising
abstractions of the early twentieth century would either lead to mathematicians working on sterile(贫瘠的), silly intellectual exercises or to mathematics
splitting into sharply distinct subdisciplines, similar to the way natural philosophy split into physics, chemistry, biologyand geology. But the very
opposite has happened. Since World War II, it has become increasingly clear that mathematics is one unified discipline. What were separate areas
now feed off of each other. Learning and creating mathematicsis indeed a worthwhile way to spend one'slife ..
Math is Hard. Unfortunately,people are just not that good at mathematics. While intensely enjoy... (查看原文)
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...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。(展开)
TZX
清华大学出版社2004版
0 有用 Harrison 2016-08-24 12:39:53
查漏补缺...可怕的PhD life已经来了
1 有用 Aphra 2020-03-19 22:21:02
短时间翻过用来复习基础知识再顺便看看证明的idea挺不错，然而真的现在还需要看这本查漏补缺而不是一本本刷GTM的也不用考虑去北美读数学phd，而是如我一般最多去读个水硕然后考虑就业了吧= =
0 有用 Rigel 2020-08-17 15:10:01
很通俗的小书。
0 有用 TZX 2014-07-07 17:36:28
万门大学童哲推荐的。
2 有用 头上有角 2015-08-18 17:22:05
理工科读phd前暑假必读书籍之一
0 有用 大风来一听 2020-11-09 14:24:22
全面简洁
0 有用 Rigel 2020-08-17 15:10:01
很通俗的小书。
0 有用 アキラキラ 2020-06-08 21:19:50
唤起了许多美好的回忆～ 这本书适合用来复习也适合用来预习
0 有用 风乍起 2020-04-09 10:21:51
查漏补缺必备案头书 激励当年没学好的，找书自学补充
4 有用 Backwater 2020-03-23 09:15:19
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... 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。 (展开)