P-adic number (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "P-adic number" in English language version.

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books.google.com

Translator's introduction, page 35: "Indeed, with hindsight it becomes apparent that a discrete valuation is behind Kummer's concept of ideal numbers."(Dedekind & Weber 2012, p. 35) Dedekind, Richard; Weber, Heinrich (2012), Theory of Algebraic Functions of One Variable, History of mathematics, vol. 39, American Mathematical Society, ISBN 978-0-8218-8330-3. — Translation into English by John Stillwell of Theorie der algebraischen Functionen einer Veränderlichen (1882).
(Hazewinkel 2009, p. 342) Hazewinkel, M., ed. (2009), Handbook of Algebra, vol. 6, North Holland, p. 342, ISBN 978-0-444-53257-2

(Gouvêa 1997, Corollary 5.3.10) Gouvêa, Fernando Q. (1997), p-adic Numbers: An Introduction (2nd ed.), Springer, ISBN 3-540-62911-4, Zbl 0874.11002
(Gouvêa 1997, Theorem 5.7.4) Gouvêa, Fernando Q. (1997), p-adic Numbers: An Introduction (2nd ed.), Springer, ISBN 3-540-62911-4, Zbl 0874.11002
(Koblitz 1980, p. 13) Koblitz, Neal (1980), p-adic analysis: a short course on recent work, London Mathematical Society Lecture Note Series, vol. 46, Cambridge University Press, ISBN 0-521-28060-5, Zbl 0439.12011
(Gouvêa 1997, Proposition 5.7.8) Gouvêa, Fernando Q. (1997), p-adic Numbers: An Introduction (2nd ed.), Springer, ISBN 3-540-62911-4, Zbl 0874.11002
(Gouvêa 1997, Proposition 3.4.2) Gouvêa, Fernando Q. (1997), p-adic Numbers: An Introduction (2nd ed.), Springer, ISBN 3-540-62911-4, Zbl 0874.11002