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Introduction,rners of mathematics. The goal of this book is to offer such an opportunity, by way of a visit to the .-adic universe. Such a visit offers a glimpse of a part of mathematics which is both important and fun, and which also is something of a meeting point between algebra and analysis.Acupressure 发表于 2025-3-22 05:40:30
,-adic Numbers,ery hard. Nevertheless, we have preferred to stick, at first, to the most concrete example available. In a later chapter, we will consider some aspects of the problem of extending valuations from ℚ to larger fields. More details about the theory of valuations on global fields can be found in several of the references.KEGEL 发表于 2025-3-22 11:50:28
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Vector Spaces and Field Extensions,lds (for example, when we dealt with the zeros of a function defined by a power series). In fact, just as we have emphasized the natural analogy between the .-adic fields ℚ. and the field ℝ of real numbers, it is a very natural thing to do to look for an extension of ℚ. that is analogous to the comp