Abstract
In this chapter, we discuss some arithmetic and analysis in the \(p\)-adic field. We also introduce the concepts of differentiability and derivatives in ultrametric analysis and briefly indicate how ultrametric calculus is different from our usual calculus.
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References
Bachman, G.: Introduction to \(p\)-adic Numbers and Valuation Theory. Academic Press, New York (1964)
Schikhof, W.H.: Ultrametric Calculus. Cambridge University Press, Cambridge (1984)
Narici, L., Beckenstein, E.: Strange terrain - non-archimedean spaces. Amer. Math. Montly 88, 667–676 (1981)
Van Rooij, A.C.M.: Non-Archimedean Functional Analysis. Marcel Dekker, New York (1978)
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Natarajan, P.N. (2014). Some Arithmetic and Analysis in \({\mathbb {Q}}_p\): Derivatives in Ultrametric Analysis. In: An Introduction to Ultrametric Summability Theory. SpringerBriefs in Mathematics. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1647-6_2
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DOI: https://doi.org/10.1007/978-81-322-1647-6_2
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Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-1646-9
Online ISBN: 978-81-322-1647-6
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