The Princeton Companion to Mathematics
内容简介：
This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world’s leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music–and much, much more.
作者简介：
Timothy Gowers is the Rouse Ball Professor of Mathematics at the University of Cambridge. He received the Fields Medal in 1998, and is the author of Mathematics: A Very Short Introduction. June Barrow-Green is lecturer in the history of mathematics at the Open University. Imre Leader is professor of pure mathematics at the University of Cambridge.
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小鸥03-09第一章中有一节Some Fundamental Mathematical Definitions，由现代数学最主要的四种数讲起，他们是代数的主角。然后站高些看看数到底是一种什么结构，又有那些相似或同理的非数字结构，如何人为的造出一些结构来做实验，验证我们脑袋里的一些假设性的问题，以及有了这些代数研究对象后其互相影响互动的机制。接着是与代数采用了完全不同的办法解决问题的数学分析。代数要的是逻辑推理出的质的抽象结论，分析则更关注如何更准确的量的描述一个具体的对象。最后一部分是关于几何的，关注人对图像进行思考的角度以及由此引出的各种解惑之道。
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感冒的冬天07-22这书太赞了，只选了部分感兴趣的内容看。最后的给青年数学家的建议也很好。书很厚，字体有点太小。
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wealk09-11a great book
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