Электронная книга: David Cox A. «Primes of the Form x2+ny2. Fermat, Class Field Theory, and Complex Multiplication»
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. Издательство: "John Wiley&Sons Limited"
ISBN: 9781118400753 электронная книга Купить за 4760.89 руб и скачать на Litres |
Другие книги автора:
Книга | Описание | Год | Цена | Тип книги |
---|---|---|---|---|
Galois Theory | Praise for the First Edition«. . .will certainly fascinate anyone interested in abstract algebra: a remarkable book!» —Monatshefte fur Mathematik Galois theory is one of the most established… — John Wiley&Sons Limited, электронная книга Подробнее... | электронная книга |
См. также в других словарях:
Eisenstein-Zahl — Eisenstein Zahlen als Punkte eines Dreiecksgitters in der komplexen Zahlenebene Die Eisenstein Zahlen sind eine Verallgemeinerung der ganzen Zahlen auf die komplexen Zahlen. Sie sind nach dem deutschen Mathematiker Gotthold Eisenstein, einem… … Deutsch Wikipedia
Geschlechtertheorie — Die Geschlechtertheorie ist ein Begriff aus dem mathematischen Teilgebiet der algebraischen Zahlentheorie. Die Geschlechtertheorie gibt in vielen Fällen eine befriedigende Antwort auf die Frage nach der Darstellung von Primzahlen durch nicht… … Deutsch Wikipedia