Sets, Logic and Categories 在线电子书 图书标签: 数学 逻辑 群论 set-theory math foundations-of-mathematics
发表于2024-12-26
Sets, Logic and Categories 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
本科生教材,不错的入门书
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Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Godel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.
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Sets, Logic and Categories 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024