Primes of the Form x2+ny2
ebook ∣ Fermat, Class Field Theory, and Complex Multiplication · Pure and Applied Mathematics: a Wiley of Texts, Monographs and Tracts
By David A. Cox
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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 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:
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.
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