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Nancy Childress “Class Field Theory"

Class field theory, the study of abelian extensions of algebraic number fields, is one of the largest branches of algebraic number theory. It brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. Some of its consequences (e.g., the Chebotarev density theorem) apply even to nonabelian extensions.

This book is an accessible introduction to class field theory. It takes a traditional approach in that it attempts to present the material using the original techniques of proof (global to local), but in a fashion which is cleaner and more streamlined than most other books on this topic. It could be used for a graduate course on algebraic number theory, as well as for students who are interested in self-study. The book has been class-tested, and the author has included exercises throughout the text.

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	Study Cosmology in Gauge Field Theory and String Theory (Graduate Student Series in Physics) Cosmology in Gauge Field Theory and String Theory (Graduate Student Series in Physics)Taylor & Francis \| ISBN 0750304928 \| 2004-09-01 \| PDF \| 313 pages \| 1.41 MBThis book focuses on the cosmological implications of the gauge theories of par ...
	Science/Engineering Class Field Theory: From Theory to Practice Georges Gras, "Class Field Theory: From Theory to Practice " Springer \| 2002-12-16 \| ISBN: 3540441336 \| 491 pages \| Djvu \| 3,1 MB Global class field theory is a major achievement of algebraic number theory, based on the functorial prope ...
	Science/Engineering Statistical Field Theory: Volume 2, Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random Systems Statistical Field Theory: Volume 2, Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random Systems Cambridge University Press \| 1989-09-29 \| ISBN: 0521370124 \| 432 pages \| PDF \| 3.39 mbThe second volume covers diverse topic ...
	Introduction to Conformal Field Theory: With Applications to String Theory (repost) Introduction to Conformal Field Theory: With Applications to String Theory Springer \| 2009 \| ISBN: 3642004490 \| 265 pages \| PDF \| 2,4 MB Based on class-tested notes, this text offers an introduction to Conformal Field Theory with a special ...
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	Technical Primes of the Form x^2 + ny^2: Fermat, Class Field Theory, and Complex Multiplication Primes of the Form x^2 + ny^2: Fermat, Class Field Theory, and Complex Multiplication Publisher: Wiley-Interscience \| ISBN: 0471190799 \| edition 1997 \| PDF \| 368 pages \| 16,5 mbProvides a general solution to the question of which primes p ...

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