看完了所有评论，我也来分享一下我的选择：1. Stewart 和 Tall 写的《The foundations of mathematics》 2. Arthur Engel 写的《Problem Solving Strategies》 3. Rotman 写的《Journey into Mathematics》 4. Knuth 等人写的《Concrete Mathematics》
After reading all the comments I am sharing my choices 1. The foundations of mathematics by Stewart and Tall 2. Problem Solving Strategies by Arthur Engels 3. Journey into Mathematics by Rotman 4. Concrete Mathematics by Knuth et al.
我当年读纯数本科的时候，这本书是我们证明导论课的预习读物：《Journey into Mathematics: An Introduction to Proofs》（Dover Books on Mathematics）https://a.co/d/csM8jRd。我依稀记得它的设计初衷就是不需要任何高等数学基础就能上手构造证明。祝你好运！
When I did my Pure Math undergrad this book was pre-reading for our intro to proofs course: Journey into Mathematics: An Introduction to Proofs (Dover Books on Mathematics) https://a.co/d/csM8jRd I seem to remember that by design it didn't require any advanced maths to get started constructing proofs. Good luck!
看完了所有评论，我也来分享一下我的选择：1. Stewart 和 Tall 写的《The foundations of mathematics》 2. Arthur Engel 写的《Problem Solving Strategies》 3. Rotman 写的《Journey into Mathematics》 4. Knuth 等人写的《Concrete Mathematics》
After reading all the comments I am sharing my choices 1. The foundations of mathematics by Stewart and Tall 2. Problem Solving Strategies by Arthur Engels 3. Journey into Mathematics by Rotman 4. Concrete Mathematics by Knuth et al.
我能想到几本：1. Rotman 写的《Journey into Mathematics》 2. Sanjoy Mahajan 写的《Street Fighting Mathematics》
I have a few in mind: 1. Journey into Mathematics by Rotman 2. Street Fighting Mathematics by Sanjoy Mahajan
我当年读纯数本科的时候，这本书是我们证明导论课的预习读物：《Journey into Mathematics: An Introduction to Proofs》（Dover Books on Mathematics）https://a.co/d/csM8jRd。我依稀记得它的设计初衷就是不需要任何高等数学基础就能上手构造证明。祝你好运！
When I did my Pure Math undergrad this book was pre-reading for our intro to proofs course: Journey into Mathematics: An Introduction to Proofs (Dover Books on Mathematics) https://a.co/d/csM8jRd I seem to remember that by design it didn't require any advanced maths to get started constructing proofs. Good luck!