Number Theory 2: Introduction to Class Field Theory (Translations of Mathematical Monographs) - Tapa blanda

Kato, Kazuya; Kurokawa, Noboshige; Saito, Takeshi

 
9780821813553: Number Theory 2: Introduction to Class Field Theory (Translations of Mathematical Monographs)
Tapa blanda
ISBN 10: 0821813552 ISBN 13: 9780821813553
Editorial: American Mathematical Society, 2011

Sinopsis

This book, the second of three related volumes on number theory, is the English translation of the original Japanese book. Here, the idea of class field theory, a highlight in algebraic number theory, is first described with many concrete examples. A detailed account of proofs is thoroughly exposited in the final chapter. The authors also explain the local-global method in number theory, including the use of ideles and adeles. Basic properties of zeta and $L$-functions are established and used to prove the prime number theorem and the Dirichlet theorem on prime numbers in arithmetic progressions. With this book, the reader can enjoy the beauty of numbers and obtain fundamental knowledge of modern number theory. The translation of the first volume was published as Number Theory 1: Fermat's Dream, Translations of Mathematical Monographs (Iwanami Series in Modern Mathematics), vol. 186, American Mathematical Society, 2000.

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Acerca del autor

Kazuya Kato is at the University of Chicago, IL.

Nobushige Kurokawa is at the Tokyo Institute of Technology, Japan.

Takeshi Saito is at the University of Tokyo, Japan.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2011
Idioma
Inglés
ISBN 10 
0821813552
ISBN 13 
9780821813553
Encuadernación
Tapa blanda
Número de páginas
240
Contacto del fabricante
no disponible
Persona responsable
no disponible