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Primes of the Form x2+ny2

Fermat, Class Field Theory, and Complex Multiplication de

Éditeur :

Wiley


Collection :

Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts

Paru le : 2014-08-21

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Description

An exciting approach to the history and mathematics of number theory
“. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.” —Mathematical Reviews

Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x2+ ny2 details the history behind how Pierre de Fermat’s work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. The book also illustrates how results of Euler and Gauss can be fully understood only in the context of class field theory, and in addition, explores a selection of the magnificent formulas of complex multiplication.
Primes of the Form p = x2 + ny2, Second Edition focuses on addressing the question of when a prime p is of the form x2 + ny2, which serves as the basis for further discussion of various mathematical topics. This updated edition has several new notable features, including:
• A well-motivated introduction to the classical formulation of class field theory
• Illustrations of explicit numerical examples to demonstrate the power of basic theorems in various situations
• An elementary treatment of quadratic forms and genus theory
• Simultaneous treatment of elementary and advanced aspects of number theory
• New coverage of the Shimura reciprocity law and a selection of recent work in an updated bibliography
Primes of the Form p = x2 + ny2, Second Edition is both a useful reference for number theory theorists and an excellent text for undergraduate and graduate-level courses in number and Galois theory.
Pages
384 pages
Collection
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Parution
2014-08-21
Marque
Wiley
EAN papier
9781118390184
EAN PDF
9781118400753
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
384
Taille du fichier
55828 Ko
Prix
65,36 €
EAN EPUB
9781118400746
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
384
Taille du fichier
16896 Ko
Prix
65,36 €

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