The Art of proof : basic training for deeper mathematics
The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on sol...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2010. |
| Serier: | Undergraduate Texts in Mathematics
|
| Online adgang: | Accès sur la plateforme de l'éditeur (Springer) Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Art of Proof, Texte imprimé, 9781493940868 • The Art of Proof, Texte imprimé, 9781441970244 • The art of proof, basic training for deeper mathematics, Matthias Beck, Ross Geoghegan, New York, Springer, 2010, 1 vol.(XXI-182 p.), Undergraduate texts in mathematics, 978-1-441-97022-0 |
Indholdsfortegnelse:
- The Discrete Integers Natural Numbers and Induction Some Points of Logic Recursion Underlying Notions in Set Theory Equivalence Relations and Modular Arithmetic Arithmetic in Base Ten The Continuous Real Numbers Embedding Z in R Limits and Other Consequences of Completeness Rational and Irrational Numbers Decimal Expansions Cardinality Final Remarks Further Topics Continuity and Uniform Continuity Public-Key Cryptography Complex Numbers Groups and Graphs Generating Functions Cardinal Number and Ordinal Number Remarks on Euclidean Geometry.