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How to Prove It

How to Prove It

av Daniel J. Velleman

Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a signific…

The Banach?Tarski Paradox

av Grzegorz Tomkowicz

The Incompleteness Phenomenon

av Martin Goldstern
The Banach?Tarski Paradox

The Banach–Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged us…

The Incompleteness Phenomenon

The authors have written an introduction to logic taking Gödel's incompleteness theorem as a starting point. The book should interest everyone from mathematicians to philosopher…

  1. Classic Set Theory av D.C. Goldrei
  2. How to Prove It av Daniel J. Velleman
  3. Naive Set Theory av Paul R. Halmos
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  8. Problems in Euclidean Space av H.G. Eggleston
  9. Basic Category Theory av Tom Leinster
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