portada number theory and its applications (en Inglés)

number theory and its applications (en Inglés)

Formato

Libro Físico

Autor

Shigeru Kanemitsu

Fuhuo Li

Nianliang Wang

Editorial

World Scientific Publishing Company

Año

2012

Idioma

Inglés

N° páginas

208

Encuadernación

Tapa Dura

Dimensiones

22.9x15.5x2 cm

Peso

0.50 kg.

ISBN

981442563x

ISBN13

9789814425636

Categorías

Álgebra
Teoría de números
Análisis funcional y transformaciones

number theory and its applications (en Inglés)

Shigeru Kanemitsu (Autor) · Fuhuo Li (Autor) · Nianliang Wang (Autor) · World Scientific Publishing Company · Tapa Dura

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Reseña del libro "number theory and its applications (en Inglés)"

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon -- the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in some way or other dependent on the functional equation. The proofs rest on finite fields, representation theory of nilpotent groups, reciprocity law for the Dedekind sums, and the translation formula for the theta-series, respectively. Likewise, for example, the Euler function is treated in several different places.One of the important principles of learning is to work with the material many times. This book presents many worked-out examples and exercises to enhance the reader's comprehension on the topics covered in an in-depth manner. This is done in a different setting each time such that the reader will always be challenged. For the keen reader, even browsing the text alone, without solving the exercises, will yield some knowledge and enjoyment.