Power, Simplicity and Beauty
Springer 刚刚出版了 Vladimir Arnold 的 Collected Works II: 本书收集了Vladimir Arnold 的 45 篇文章: 33 篇是在1965-1972 年间写成, 8 篇是 80-89 年间发表, 73-79 有 2 篇, 91 与 92 年各有 1 篇. Vladimir Arnold(June …
Vladimir Arnold’s mathematical writings Read MoreSpriger 刚刚出版了三卷本的 “Geometric Trilogy: Axiomatic, Algebraic and Differential Approaches to Geometry“, 作者 Francis Borceux. 这三本书的合集厚达 \(1400\) 页. The Trilogy intends to introduce the reader to the multiple complementary aspects of geometry, paying …
Geometric Trilogy: Axiomatic, Algebraic and Differential Approaches to Geometry Read More次数 \(\geqslant5\) 的多项式方程根式不可解的证明, 不是只有 Galois theory 这一个办法. 1963 年, V. I. Arnold(June 12, 1937-June 3, 2010) 给出了一个拓扑证明. 这种新的思想, 可以用来解决另外一些经典问题. 随后, Topological Galois theory 就发展起来了. 该理论的建立者是 Askold G. Khovanskii. Askold G. Khovanskii 于 2008 …
Topological Galois theory Read MoreSteve pointed out the thing that makes EGA difficult to read is not that it is dense, but rather that it is gigantic. Robin Hartshorne’s book algebraic geometry is an edulcorated …
Robin Hartshorne’s Algebraic Geometry–GTM 52 Read MoreThe third Edition of “Basic Algebraic Geometry” has just been published. Shafarevich’s Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over …
The third Edition of “Basic Algebraic Geometry” has just been published Read MoreGTM(Graduate Texts in Mathematics) 系列, 目前是 \(269\) 册. 详细的书目可以在 wiki 找到, 亦可在 Springer 看到. 不仅如此, Springer 有每一本书的介绍, 也有部分电子书出售. 这里试着写出每本书最新的版本, 按学科对这些书进行分类, 并争取对每本书给出一个大致的评价. Number Theory 数论 7 A course in arithmetic, Serre 58 P-adic Numbers, …
A classification and review of GTM Read More