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 ca...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Burgin, Mark (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:SpringerBriefs in Mathematics,
Temas:
Mathematical analysis.
Functional analysis.
Differential equations.
Measure theory.
Mathematical physics.
Analysis.
Functional Analysis.
Differential Equations.
Measure and Integration.
Mathematical Methods in Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • -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.

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