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Fuhuo Li & Nianliang Wang 
NUMBER THEORY AND ITS APPLICATIONS 

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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.
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Dil İngilizce ● Biçim EPUB ● Sayfalar 208 ● ISBN 9789814425650 ● Dosya boyutu 21.4 MB ● Yayımcı World Scientific Publishing Company ● Kent Singapore ● Ülke SG ● Yayınlanan 2012 ● İndirilebilir 24 aylar ● Döviz EUR ● Kimlik 2884991 ● Kopya koruma Adobe DRM
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