……把这些题刷完确实极大地巩固了我对基础的掌握。2. 乔治·波利亚（George Polya）的《怎样解题》（How to Solve it）。一本薄薄的书，针对数学解题给出了极好的宏观建议。3. 乔治·E·安德鲁斯的《数论》（Number Theory）。我大一那会儿一边学第一门基于证明的简单逻辑与集合论课程，一边啃完了这本书。非常优美且通俗易懂的初等数论入门书。里面的组合/几何……
…working through these really solidified my grasp on the basics. 2. George Polya. How to Solve it. A short book giving excellent high level advice on mathematical problem solving. 3. George E. Andrews, Number Theory. I worked through this freshman year contemporaneously with my first proof based class on simple logic and set theory. A very beautiful and accessible introduction to basic number theory. The combinatorial/geometric…
……《数学之美》（Mathematical Snapshots），波利亚的《数学与猜想》（Mathematics and Plausible Reasoning），帕帕斯的《数学的乐章》（The Joy of Mathematics），加德纳的《大本数学趣题与难题》（The Colossal Book of Short Puzzles and Problems），温克勒的《数学谜题：行家的收藏》（Mathematical Puzzles: A Connoisseur's Collection），安德鲁斯的《数论》（Number Theory，Dover 高等数学系列）——最后一本其实没那么高深，只要掌握了高中代数 II 的人基本都能看懂。
…Snapshots Polya, Mathematics and Plausible Reasoning Pappas, The Joy of Mathematics Gardner, The Colossal Book of Short Puzzles and Problems Winkler, Mathematical Puzzles: A Connoisseur's Collection Andrews, Number Theory (Dover Books on Advanced Mathematics) - The last book is not really that advanced, It can be understood by most with an understanding through high school algebra II.
……光面印刷），而且更侧重于证明和算法。你可以在这里看：http://store.doverpublications.com/by-subject-mathematics.ht.... 我个人特别喜欢《概率论简明教程》（Probability: A concise course），以及乔治·安德鲁斯的《数论》（Number Theory）。亚马逊以前有很多很棒的考研备考书单，里面总会有像鲁丁的《数学分析原理》（Principles of Mathematics Analysis）和哈尔莫斯的《有限维……
…glossy print), and more focused on proofs and algorithms. You can see them here http://store.doverpublications.com/by-subject-mathematics.ht.... I particularly liked Probability: A concise course, and Number Theory by George Andrews. Amazon used to have a great number of graduate preparation book lists which always included books such as Rudin's Principles of Mathematics Analysis, and Halmos' Finite Dimensional…
…(as much as you can read, groups, rings, fields, even more if you can) Needham - complex analysis Friedberg - linear algebra After that you can go in many directions Many other interesting courses Number theory Representation theory Probability -> stochastic processes Statistics
在那个年纪，我很喜欢乔治·E·安德鲁斯的《数论》（Number Theory）https://www.amazon.com/Number-Theory-Dover-Books-Mathematics...
At that age, I enjoyed Number Theory by George E. Andrews https://www.amazon.com/Number-Theory-Dover-Books-Mathematics...
太酷了。我也推荐安德鲁斯写的《数论》（Number Theory）。这是一本非常全面的绝佳入门书。
Very cool. I'd also recommend Number Theory by Andrews. It's a great comprehensive introduction.
……把这些题刷完确实极大地巩固了我对基础的掌握。2. 乔治·波利亚（George Polya）的《怎样解题》（How to Solve it）。一本薄薄的书，针对数学解题给出了极好的宏观建议。3. 乔治·E·安德鲁斯的《数论》（Number Theory）。我大一那会儿一边学第一门基于证明的简单逻辑与集合论课程，一边啃完了这本书。非常优美且通俗易懂的初等数论入门书。里面的组合/几何……
…working through these really solidified my grasp on the basics. 2. George Polya. How to Solve it. A short book giving excellent high level advice on mathematical problem solving. 3. George E. Andrews, Number Theory. I worked through this freshman year contemporaneously with my first proof based class on simple logic and set theory. A very beautiful and accessible introduction to basic number theory. The combinatorial/geometric…
……《数学之美》（Mathematical Snapshots），波利亚的《数学与猜想》（Mathematics and Plausible Reasoning），帕帕斯的《数学的乐章》（The Joy of Mathematics），加德纳的《大本数学趣题与难题》（The Colossal Book of Short Puzzles and Problems），温克勒的《数学谜题：行家的收藏》（Mathematical Puzzles: A Connoisseur's Collection），安德鲁斯的《数论》（Number Theory，Dover 高等数学系列）——最后一本其实没那么高深，只要掌握了高中代数 II 的人基本都能看懂。
…Snapshots Polya, Mathematics and Plausible Reasoning Pappas, The Joy of Mathematics Gardner, The Colossal Book of Short Puzzles and Problems Winkler, Mathematical Puzzles: A Connoisseur's Collection Andrews, Number Theory (Dover Books on Advanced Mathematics) - The last book is not really that advanced, It can be understood by most with an understanding through high school algebra II.
……光面印刷），而且更侧重于证明和算法。你可以在这里看：http://store.doverpublications.com/by-subject-mathematics.ht.... 我个人特别喜欢《概率论简明教程》（Probability: A concise course），以及乔治·安德鲁斯的《数论》（Number Theory）。亚马逊以前有很多很棒的考研备考书单，里面总会有像鲁丁的《数学分析原理》（Principles of Mathematics Analysis）和哈尔莫斯的《有限维……
…glossy print), and more focused on proofs and algorithms. You can see them here http://store.doverpublications.com/by-subject-mathematics.ht.... I particularly liked Probability: A concise course, and Number Theory by George Andrews. Amazon used to have a great number of graduate preparation book lists which always included books such as Rudin's Principles of Mathematics Analysis, and Halmos' Finite Dimensional…
……（能看多少看多少，群、环、域，能多学就多学） Needham - 复分析 Friedberg - 线性代数 搞定之后你就可以往很多方向走了 还有很多其他有趣的课程 数论 表示论 概率论 -> 随机过程 统计学
…(as much as you can read, groups, rings, fields, even more if you can) Needham - complex analysis Friedberg - linear algebra After that you can go in many directions Many other interesting courses Number theory Representation theory Probability -> stochastic processes Statistics