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Hypernumbers and Extrafunctions
Extending the Classical Calculus
- Editore:
Springer-Verlag GmbH
- Collana:
- SpringerBriefs in Mathematics
- EAN:
9781441998743
- ISBN:
1441998748
- Pagine:
- 167
- Formato:
- Paperback
- Lingua:
- Inglese
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Descrizione Hypernumbers and Extrafunctions
"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 on real functions by introducing extrafunctions, which generalize not only the concept of a conventional function but also the concept of a distribution. Extrafucntions have been also efficiently used for a rigorous mathematical definition of the Feynman path integral, as well as for solving some problems in probability theory, which is also important for contemporary physics.
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