…In other words, everything has its usual meaning, except that addition wraps around so that you remain in the two-element set. Finite fields are kind of fun. The body of knowledge about them is called Galois Theory and makes a pretty good entrée into the world of abstract algebra. Interested readers might want to check out the short, $8 book by Émil Artin from Dover [0] for a good introduction. 0. https://www.amazon.com/Galois-Theory-Delivered-University-Ma...
……换句话说，一切都有其通常含义，只是加法会回绕，让你保持在二元素集合内。有限域挺有意思的。关于它们的知识体系叫做伽罗瓦理论，是进入抽象代数世界的一个很好的入口。感兴趣的读者可以看看 Émil Artin 由 Dover 出版的薄薄的 8 美元小书 [0]，是一本很好的入门。0. https://www.amazon.com/Galois-Theory-Delivered-University-Ma...
…In other words, everything has its usual meaning, except that addition wraps around so that you remain in the two-element set. Finite fields are kind of fun. The body of knowledge about them is called Galois Theory and makes a pretty good entrée into the world of abstract algebra. Interested readers might want to check out the short, $8 book by Émil Artin from Dover [0] for a good introduction. 0. https://www.amazon.com/Galois-Theory-Delivered-University-Ma...
Emil Artin - 《伽罗瓦理论》（Galois Theory）
Emil Artin - Galois Theory