Titlebook: p-adic Numbers; An Introduction Fernando Q. Gouvêa Textbook 2020Latest edition Springer Nature Switzerland AG 2020 p-adic analysis.p-adic n

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Vector Spaces and Field Extensions,Up to now, we have kept our attention focused on the field Q and its p-adic completions. We have already felt, however, the need to consider other fields (for example, when we dealt with the zeros of a function defined by a power series).

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Analysis in ,This chapter tries to give the reader a taste of what analysis in C. is like. Rather than attempt to be exhaustive, which would violate the goals of this book, we try to touch on a few remarkable points: the p-adic Weierstrass Preparation Theorem, the description of entire functions, and the theory of Newton polygons.

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Fun With Your New Head,We’ve gone about as far as we want to go, but the reader may enjoy exploring further. In this final chapter we collect various problems that might be worth exploring.

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p-adic Numbers978-3-030-47295-5Series ISSN 0172-5939 Series E-ISSN 2191-6675

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Fernando Q. Gouvêainander, also etwa wie Perlen auf einer Schnur, angeordnet sind. Ein File ist somit eine Menge von Informationselementen mit eindeutig definiertem Anfang, definierter Reihenfolge und definiertem Ende. Unabhängig von der Definition eines Files ist die technische Realisierung, seine Größe und die Art

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Fernando Q. Gouvêastellt und didaktisch aufbereitet.Mit Beispiel-Thesaurus, auDiese Einführung in die Grundlagen der Dokumentation und des Information Retrieval, d.h. des Wiederauffindens von Information zu thematisch-inhaltlichen Fragen, entstand auf der Basis langjähriger Lehrerfahrung. Die sowohl theoretisch fundi

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Textbook 2020Latest edition fundamental role in number theory and in other parts of mathematics, capturing information related to a chosen prime number .p.. They also allow us to use methods from calculus and analysis to obtain results in algebra and number theory..This book is an elementary introduction to .p.-adic numbers.