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ISBN: 9781118390184 | 1118390180

Edition: 2ndFormat: Paperback

Publisher: Wiley

Pub. Date: 4/22/2013

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**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

*Primes of the Form p = x*_{2 }*+ ny*_{2}*, Second Edition *focuses on addressing the question of when a prime *p *is of the form *x*_{2 }*+ ny*_{2}*, *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 = x*_{2 }*+ ny*_{2}*, 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.