All the Mathematics You Missed

这不是一本让你'学会'数学的书，而是一次快速走过现代数学主要厅堂的导览。作者把线性代数、实分析、拓扑、复分析、抽象代数等本科核心内容逐一铺开，重点不在严密的证明，而在'这些工具为何存在''背后直觉是什么'。读者反馈高度两极：会的部分嫌太浅，不会的部分又不足以入门；它'面面俱到却每个点都没法细说'。正因如此，它的真正价值在于'查漏补缺'——适合正在分辨雅可比矩阵与黑赛矩阵、一致连续与逐点连续、散度与旋度时，需要一个坐标把自己从概念混淆里捞出来的读者。它适合美国高年级本科生、偶尔回头温习的研究生，以及不愿逐本啃GTML、想先看清数学全貌的人。

Thomas A. Garrity is the Webster Atwell Class of 1921 Professor of Mathematics at Williams College, Massachusetts, where he was the director of the Williams College Project for Effective Teaching for many years. Among his awards are Rice University's Nicolas Salgo Outstanding Teaching award and the Haimo award of the MAA. His other books include Algebraic Geometry: A Problem Solving Approach (2013, co-authored) and Electricity and Magnetism for Mathematicians (2015).