Number Theory II: Algebraic Number Theory

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  Number Theory II: Algebraic Number Theory
  Springer | 1992 | ISBN: 0387533869 | 262 pages | PDF | 14,4 MB

  
  Modern number theory, according to Hecke, dates from Gauss's quadratic reciprocity law. The various extensions of this law and the generalizations of the domains of study for number theory have led to a rich network of ideas, which has had effects throughout mathematics, in particular in algebra. This volume of the Encyclopaedia presents the main structures and results of algebraic number theory with emphasis on algebraic number fields and class field theory. Koch has written for the non-specialist. He assumes that the reader has a general understanding of modern algebra and elementary number theory. Mostly only the general properties of algebraic number fields and related structures are included.
  

  
  

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