On the shape of mathematical arguments
This book deals with the presentation and systematic design of mathematical proofs, including correctness proofs of algorithms. Its purpose is to show how completeness of argument, an important constraint especially for the correctness of algorithms, can be combined with brevity. The author stresses...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Autres auteurs: | |
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in computer science
445 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • On the shape of mathematical arguments, A.J.M. van Gasteren, Berlin, Springer-Verlag, 1990, 1 vol. (VIII-180 p.), Lecture notes in computer science, 3-540-52849-0 • On the Shape of Mathematical Arguments, Texte imprimé, 9783662182116 |
Table des matières:
- A termination argument
- A problem on bichrome 6-graphs
- Proving the existence of the Euler line
- In adherence to symmetry
- On a proof by Arbib, Kfoury, and Moll
- Not about open and closed sets
- A monotonicity argument
- On the inverse of a function
- A calculational proof of Helly's theorem on convex figures
- The formal derivation of a proof of the invariance theorem
- Proving theorems with Euclid's algorithm
- On the deisng of an in-situ permutation algorithm
- Shiloach's algorithm
- Clarity of exposition
- On naming
- On the ue of formalism
- Epilogue
- Proof rules for guarded-command programs
- Notational conventions.