Lakatos – Proofs and refutations
Proofs and Refutations: The Logic of Mathematical Discovery
Imre Lakatos
Cambridge University Press, 2008
# ISBN: 0521290384
# ISBN-13: 978-0521290388
Superb book that discusses the notion of proof with a dialog between a professor and his students. The professor proves the Euler characteristics and then the student finds out the limit of this proof. Outstanding! Link to purchase the book.
Some related URL:
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- Imre Lakatos: http://en.wikipedia.org/wiki/Imre_Lakatos
- Proofs and Refutations: http://en.wikipedia.org/wiki/Proofs_and_Refutations
- Euler characteristics: http://en.wikipedia.org/wiki/Euler_characteristic
- Polyhedron: http://en.wikipedia.org/wiki/Polyhedron
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PDF version of 1st part of book (main part):
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- Part I: http://www.jstor.org/stable/685347
- Part II: http://www.jstor.org/stable/685430
- Part III: http://www.jstor.org/stable/685242
- Part IV: http://www.jstor.org/stable/685636