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Number Theory And Its Applications (Hardcover)
Loot Price: R1,383
Discovery Miles 13 830
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Number Theory And Its Applications (Hardcover)
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Total price: R1,403
Discovery Miles: 14 030
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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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