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From Number Theory to Physics (Paperback, Softcover reprint of hardcover 1st ed. 1992)
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From Number Theory to Physics (Paperback, Softcover reprint of hardcover 1st ed. 1992)
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The present book contains fourteen expository contributions on
various topics connected to Number Theory, or Arithmetics, and its
relationships to Theoreti cal Physics. The first part is
mathematically oriented; it deals mostly with ellip tic curves,
modular forms, zeta functions, Galois theory, Riemann surfaces, and
p-adic analysis. The second part reports on matters with more
direct physical interest, such as periodic and quasiperiodic
lattices, or classical and quantum dynamical systems. The
contribution of each author represents a short self-contained
course on a specific subject. With very few prerequisites, the
reader is offered a didactic exposition, which follows the author's
original viewpoints, and often incorpo rates the most recent
developments. As we shall explain below, there are strong
relationships between the different chapters, even though every
single contri bution can be read independently of the others. This
volume originates in a meeting entitled Number Theory and Physics,
which took place at the Centre de Physique, Les Houches
(Haute-Savoie, France), on March 7 - 16, 1989. The aim of this
interdisciplinary meeting was to gather physicists and
mathematicians, and to give to members of both com munities the
opportunity of exchanging ideas, and to benefit from each other's
specific knowledge, in the area of Number Theory, and of its
applications to the physical sciences. Physicists have been given,
mostly through the program of lectures, an exposition of some of
the basic methods and results of Num ber Theory which are the most
actively used in their branch."
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