Proofs from the BOOK

Join the course group in Telegram: link

Talks:

• 5 March — Yulia Petrova ‘‘Six proofs of the infinity of prime numbers’’
• 7 March — Yulia Petrova ‘‘Bertrand’s postulate’’
• 12 March — Yulia Petrova ‘‘Buffon’s needle, problem of the number of collisions of two blocks and pi’’
• 14 March — Sergio Andrade ‘‘Um pi real e um pi complexo: demonstracoes do Problema de Basileia e da Equacao de Euler para Numeros Complexos’’
• 19 March — Yulia Petrova ‘‘Every large point set has an obtuse angle’’
• 21 March — Yulia Petrova ‘‘Steiner’s simetrization and applications: isodiametric inequality, isoperimetric inequality and Brunn-Minkowski inequality’’
• 26 March — Joao Arthur ‘‘Three applications of Euler’s formula’’
• 28 March – Semana Santa
• 2 April — Sergio Andrade ``Cauchy and Fourier proofs of the Basel problem. Lemma Borel-Cantelli''
• 4 April — Anselmo de Souza Pontes ``Period three implies chaos''
• …

Classes:

• March - June 2024. Tuesdays and Thursdays: 9am - 11am
• Room 863, Department of Mathematics, Edifício Leme, PUC-Rio

Materials:

• Books:
  • M. Aigner, G. Ziegler ‘‘Proofs from the BOOK’’
  • S. Tabachnikov, D. Fuchs ‘‘Mathematical Omnibus: Thirty Lectures on Classic Mathematics’’

Exercises:

• Homeworks:
  • List 1. Deadline: 1 of April 2024