……1. Book of Proof 1a. How to Prove It: A Structured Approach 2. Elements of Set Theory - Enderton 2a. Naive Set Theory - Halmos 3. Foundations of Analysis - Landau 4. Basic Mathematics - Lang 5. Principles of Mathematics - Allendoerfer & Oakley 6. A Transition to Advanced Mathematics 6a. Concept of Modern Mathematics - Stewart 7. 微积分 - Apostol 或 Spivak 一本都别跳
…1. Book of Proof 1a. How to Prove It: A Structured Approach 2. Elements of Set Theory - Enderton 2a. Naive Set Theory - Halmos 3. Foundations of Analysis - Landau 4. Basic Mathematics - Lang 5. Principles of Mathematics - Allendoerfer & Oakley 6. A Transition to Advanced Mathematics 6a. Concept of Modern Mathematics - Stewart 7. Calculus - Apostol or Spivak Don't skip any
我刚开始读吴鸿熙（Hung-Hsi Wu）的一套书[0]。它们的主要受众是数学教师。另外两本似乎在基础数学教学上提供了正式且严谨方法的书是 Carl Allendoerfer 的《Principles of Mathematics》以及 Pearson, H. R 和 Allen, F. B 的《Modern Algebra - A logical approach》。不用说，这些书聚焦于高中数学，但应该足以作为课程的准备……
I've just started reading a volume of books by Hung-Hsi Wu[0]. They are main audience is teachers of mathematics. Two other books that seem to offer a formal rigorous approach of teaching basic math are Principles of Mathematics by Carl Allendoerfer and Modern Algebra - A logical approach by Pearson, H. R and Allen, F. B Needless to say, these books are focussed on High School math but should be sufficient preparation for courses…
……1. Book of Proof 1a. How to Prove It: A Structured Approach 2. Elements of Set Theory - Enderton 2a. Naive Set Theory - Halmos 3. Foundations of Analysis - Landau 4. Basic Mathematics - Lang 5. Principles of Mathematics - Allendoerfer & Oakley 6. A Transition to Advanced Mathematics 6a. Concept of Modern Mathematics - Stewart 7. 微积分 - Apostol 或 Spivak 一本都别跳
…1. Book of Proof 1a. How to Prove It: A Structured Approach 2. Elements of Set Theory - Enderton 2a. Naive Set Theory - Halmos 3. Foundations of Analysis - Landau 4. Basic Mathematics - Lang 5. Principles of Mathematics - Allendoerfer & Oakley 6. A Transition to Advanced Mathematics 6a. Concept of Modern Mathematics - Stewart 7. Calculus - Apostol or Spivak Don't skip any
我刚开始读吴鸿熙（Hung-Hsi Wu）的一套书[0]。它们的主要受众是数学教师。另外两本似乎在基础数学教学上提供了正式且严谨方法的书是 Carl Allendoerfer 的《Principles of Mathematics》以及 Pearson, H. R 和 Allen, F. B 的《Modern Algebra - A logical approach》。不用说，这些书聚焦于高中数学，但应该足以作为课程的准备……
I've just started reading a volume of books by Hung-Hsi Wu[0]. They are main audience is teachers of mathematics. Two other books that seem to offer a formal rigorous approach of teaching basic math are Principles of Mathematics by Carl Allendoerfer and Modern Algebra - A logical approach by Pearson, H. R and Allen, F. B Needless to say, these books are focussed on High School math but should be sufficient preparation for courses…