数学概念
Mathematical Concepts
Jürgen Jost · 初版 2015 年
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本书的主要目的是阐述并发展数学的概念性、结构性与抽象思维。书中通过具体的数学结构来阐明概念性方法；从而更深刻地洞察相互关系与抽象共性。这些思想经过细致的铺垫与解释，并辅以实例说明，因而省去了许多更具技术性的证明。因此，本书可以：· 仅仅用作数学结构全景及其相互关系的概览，并在需要时由更详细的文献加以补充...
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……似乎每周都会冒出一本新书。不过请注意，证明入门书（intro-to-proofs books）可不只是给新手看的。也有专门针对高年级本科生和研究生新生的。比如：Jürgen Jost 写的《Mathematical Concepts》。这足以说明市面上各类数学书有多么丰富。与此同时或者在此之后，你可以接着去学线性代数、离散数学、群论、分析学的导论……
…every week a new book pops up, it seems. Note, intro-to-proofs books are not only for novices, though. There are kinds written for advanced undergrads and beginning grad students as well. For example: Mathematical Concepts by Jugen Jost. This speaks to the wealth of the kinds of math books available. Concurrently and/or after that you can study introduction to any of linear algebra, discrete math, group theory, analysis…
……不知不觉快写成一篇长文了。通过离散数学入门书迈出颤颤巍巍的第一步后，另一条路就是去学被我称为“Intro To Math 2”的东西。这类书有 Jost 的《Mathematical Concepts》，或者（尤其是）Giossi 的《Essential Mathematics for Undergraduates》。本来还想多聊聊这个或者上面提到的其他话题。下次吧。语法错误和符号不一致还请见谅……
…already turning into a novel. After making very first and wobbly steps into math through the intro to discrete math books, the other path is to study what I call "Intro To Math 2". There are books like "Mathematical Concepts" by Jost or (especially) "Essential Mathematics for Undergraduates" by Giossi. Wanted to say more about this or the other topics above. Maybe next time. Please, excuse the grammar and inconsistent notation…