Abstract
The goal of this chapter is to begin to lay a solid foundation for the theory we described informally in Chapter One. The main idea will be to introduce a different absolute value function on the field of rational numbers. This will give us a different way to measure distances, hence a different calculus. Once we have that, we will use it (in Chapter 3) to construct the p-adic numbers.
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© 1993 Springer-Verlag Berlin Heidelberg
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Gouvêa, F.Q. (1993). Foundations. In: p-adic Numbers. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22278-2_3
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DOI: https://doi.org/10.1007/978-3-662-22278-2_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-56844-5
Online ISBN: 978-3-662-22278-2
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