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Number Theory and Its Applications

by Li Fuhuo

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Book Overview This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon -- the functional equati...
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.
Book Details Format: Hardcover | Pages: 194 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 981442563X
FormatHardcover
Pages194
LanguageEnglish
ISBN981442563X
EAN9789814425636
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
Edition1
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.1 Pounds
Length9.0 Inches
Width6.1 Inches
Height0.8 Inches
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