Principles of mathematics
by Carl B. Allendoerfer · first published 1955
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…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
on “Ask HN: Serious mathematics books that can replace a good teacher?” ↗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…
on “Ask HN: Math books that fundamentally changed the way to view or learn new math?” ↗