Basic Category Theory 在线电子书 图书标签: 范畴论 数学 pl nemlophics mathematics ebook Textbook Mathematics
发表于2025-01-11
Basic Category Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025
Tom Leinster has held postdoctoral positions at Cambridge and the Institut des Hautes Études Scientifiques (France), and held an EPSRC Advanced Research Fellowship at the University of Glasgow. He is currently a Chancellor's Fellow at the University of Edinburgh. He is also the author of Higher Operads, Higher Categories (Cambridge University Press, 2004), and one of the hosts of the research blog, The n-Category Café.
This short introduction to category theory is for readers with relatively little mathematical background. At its heart is the concept of a universal property, important throughout mathematics. After a chapter introducing the basic definitions, separate chapters present three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties the three together.
For each new categorical concept, a generous supply of examples is provided, taken from different parts of mathematics. At points where the leap in abstraction is particularly great (such as the Yoneda lemma), the reader will find careful and extensive explanations.
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Basic Category Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025