Hypernumbers and extrafunctions : extending the classical calculus
Hypernumbers and Extrafunctions presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2012. |
| Serier: | SpringerBriefs in Mathematics
|
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur 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: | • Hypernumbers and Extrafunctions, Texte imprimé, 9781441998743 • Hypernumbers and Extrafunctions, Texte imprimé, 9781441998743 • Hypernumbers and Extrafunctions, Texte imprimé, 9781441998767 |
Indholdsfortegnelse:
- -1. Introduction: How mathematicians solve unsolvable problems.-2. Hypernumbers(Definitions and typology,Algebraic properties,Topological properties).-3. Extrafunctions(Definitions and typology, Algebraic properties, Topological properties).-4. How to differentiate any real function (Approximations, Hyperdifferentiation).-5. How to integrate any continuous real function (Partitions and covers, Hyperintegration over finite intervals, Hyperintegration over infinite intervals). -6. Conclusion: New opportunities Appendix References