Author | Robert, Alain M. author |
---|---|

Title | A Course in p-adic Analysis [electronic resource] / by Alain M. Robert |

Imprint | New York, NY : Springer New York : Imprint: Springer, 2000 |

Connect to | http://dx.doi.org/10.1007/978-1-4757-3254-2 |

Descript | XVI, 438 p. online resource |

SUMMARY

Kurt Hensel (1861-1941) discovered the p-adic numbers around the turn of the century. These exotic numbers (or so they appeared at first) are now well-established in the mathematical world and used more and more by physicists as well. This book offers a self-contained presentation of basic p-adic analysis. The author is especially interested in the analytical topics in this field. Some of the features which are not treated in other introductory p-adic analysis texts are topological models of p-adic spaces inside Euclidean space, a construction of spherically complete fields, a p-adic mean value theorem and some consequences, a special case of Hazewinkel's functional equation lemma, a remainder formula for the Mahler expansion, and most importantly a treatment of analytic elements

CONTENT

1 p-adic Numbers -- 2 Finite Extensions of the Field of p-adic Numbers -- 3 Construction of Universal p-adic Fields -- 4 Continuous Functions on Zp -- 5 Differentiation -- 6 Analytic Functions and Elements -- 7 Special Functions, Congruences -- Specific References for the Text -- Tables -- Basic Principles of Ultrametric Analysis -- Conventions, Notation, Terminology

Mathematics
Number theory
Mathematics
Number Theory

LOCATION | CALL# | STATUS |
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Science Library | QA241 C861r 2000 | CHECK SHELVES |

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