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Titlebook: Number Fields; Daniel A. Marcus Textbook 2018Latest edition Springer Nature Switzerland AG 2018 number fields.number rings.prime decomposi

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书目名称Number Fields
编辑Daniel A. Marcus
视频video
概述Contains over 300 exercises.Assumes only basic abstract algebra.Covers topics leading up to class field theory
丛书名称Universitext
图书封面Titlebook: Number Fields;  Daniel A. Marcus Textbook 2018Latest edition Springer Nature Switzerland AG 2018 number fields.number rings.prime decomposi
描述.Requiring no more than a basic knowledge of abstract algebra, this textbook presents the basics of algebraic number theory in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, and presents proofs in a way that highlights key arguments. There are several hundred exercises, providing a wealth of both computational and theoretical practice, as well as appendices summarizing the necessary background in algebra...Now in a newly typeset edition including a foreword by Barry Mazur, this highly regarded textbook will continue to provide lecturers and their students with an invaluable resource and a compelling gateway to a beautiful subject... ..From the reviews:..“A thoroughly delightful introduction to algebraic number theory” – .Ezra Brown in the .Mathematical Reviews..“An excellent basis for an introductory graduate course in algebraic number theory” – .Harold Edwards in the .Bulletin of the American Mathematical Society.
出版日期Textbook 2018Latest edition
关键词number fields; number rings; prime decomposition in number rings; Galois theory applied to prime decomp
版次2
doihttps://doi.org/10.1007/978-3-319-90233-3
isbn_softcover978-3-319-90232-6
isbn_ebook978-3-319-90233-3Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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Daniel A. MarcusContains over 300 exercises.Assumes only basic abstract algebra.Covers topics leading up to class field theory
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,A Special Case of Fermat’s Conjecture,Fermat’s last theorem is used to motivate the introduction of certain number fields.
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Galois Theory Applied to Prime Decomposition,Galois theory is applied to the general problem of determining how a prime ideal of a number rings splits in an extension field.
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The Dedekind Zeta Function and the Class Number Formula,The results of chapter 6 are used to define and establish properties of the number fields and their zeta functions, such as the Class Number Formula.
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