Fabien Benetou's PIM | ReadingNotes / LePouvoirDesMathematiques

Le pouvoir des math�matiques - ISSN ? - Les Dossiers De La Recherche November 2009

Motivation

Describe in a sentences or two what motivated me to read this book.

Pre-reading model

Draw a schema (using PmGraphViz or another solution) of the situation of the area in the studied domain before having read the book.

Reading

1 Introduction to Template
- "interesting quote." (p1)
- note
- ...
2 Interesting thing
- (p20)

L'arbre de la complexite

Dossier : "3 L'arbre de la complexit�", La Recherche 2010

Probleme ouvert
- de Hilbert a Clay
- Non formule
  - les equations de la mecanique des fluides
- Conjecture
  - De nature inconnue
    - l'hypothese de Riemann
  - Indecidable
    - le 2eme probleme de Hilbert
  - Decidable
    - Preuve avec un contre-exemple
      - le 3eme probleme de Hilbert
    - Theoreme
      - Autres theoremes
        le grand theoreme de Fermat
        l'hypothese de Poincarre
      - Theoreme d'existence
        Demonstration par l'absurde
        e n'est pas un rationel
        Constructif
        Methode
        Complexite inconnue
        le voyageur de commerce
        Complexite non polynomiale
        l'arithmetique de Presburger
        Complexite polynomiale
        Grand degre
        Ce nombre est-il premier ?
        Petit degre
        Le plus grand commun diviseur

See also Complexity class in Wikipedia and Bounded error, Quantum, Polynomial time (for P=QP) in the new concept page.

Overall remarks and questions

this? that?

Synthesis

So in the end, it was about X and was based on Y.

Critics

Point A, B and C are debatable because of e, f and j.

Vocabulary

(:new_vocabulary_start:) new_word (:new_vocabulary_end:)

Post-reading model

Draw a schema (using PmGraphViz or another solution) of the situation of the area in the studied domain after having read the book. Link it to the pre-reading model and align the two to help easy comparison.

Le Pouvoir Des Mathematiques {ReadingNotes}