[Télécharger] Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication, 2nd Edition de David A. Cox Livre eBook France

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Auteur : David A. Cox
Catégorie : Livres anglais et étrangers,Science,Mathematics
Broché : * pages
Éditeur : *
Langue : Français, Anglais


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.

Télécharger Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication, 2nd Edition de David A. Cox Pdf Epub


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X2 – Telecharger Livres Pdf Epub Audio ~ Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication by David A. Cox Book Summary: An exciting approach to the history and mathematics of number theory the author s style is totally lucid and very easy to readthe result is indeed a wonderful story Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds the Second .

David A. Cox ~ Primes of the Form x 2 + ny 2. Click here for the web page for my book Primes of the Form x 2 + ny 2. This book is about Fermat, class field theory, and complex multiplication, and was written for anyone who loves number theory. It is now in its second edition is published by John Wiley & Sons. The book is available in a modestly priced paperback edition. Ideals, Varieties, and Algorithms .

What Is Number Theory? - Brown University ~ Primes of the Form N2 +1. If we list the numbers of the form N2 + 1 taking N = 1;2;3;:::, we find that some of them are prime. Of course, if N is odd, then N2 + 1 is even, so it won’t be prime unless N = 1. So it’s really only interesting to take even values of N. We’ve highlighted the primes in the following list:

艾森斯坦整数 - 维基百科,自由的百科全书 ~ Cox, D. A. §4A in Primes of the Form x2+ny2: Fermat, Class Field Theory and Complex Multiplication. New York: Wiley, 1989. Guy, R. K. "Gaussian Primes. Eisenstein-Jacobi Primes." §A16 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 33-36, 1994. Wagon, S. "Eisenstein Primes." §9.8 in Mathematica in Action. New York: W. H. Freeman, pp. 319-323, 1991. 外部链接 .

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