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Classical Theory of Algebraic Numbers
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Classical Theory of Algebraic Numbers Hardcover - 2001

by Paulo Ribenboim

One of the hallmarks of 19th century mathematics was the theory of algebraic numbers, developed by Gauss, Kummer and others. The theory is essential to the study of diophantine equations and arithmetic algebraic geometry, including methods in cryptology. Ribenboim's aim is to give a clear self-contained exposition of this theory and to show how modern developments are rooted in the classical ideas.


From the publisher

After a brief introduction reviewing the concepts of principal ideal domains and commutative fields, the book discusses residue classes (for example, the integers mog=dulo some number m); quadratic residues; algebraic integers (that is, objects that behave like integers in arbitrary algebraic structures), their discriminant; decomposition, norm, and classes of ideals; the ramification index; and the fundamental theorem of Abelian extensions. The theorems and definitions are carefully motivated, and the author frequently stops to explain how things fit together and what will come next. There are a great many exercises and many useful examples at a

Details

  • Title Classical Theory of Algebraic Numbers
  • Author Paulo Ribenboim
  • Binding Hardcover
  • Edition 2nd
  • Pages 682
  • Volumes 1
  • Language ENG
  • Publisher Springer, New York, NY
  • Date 2001-03-30
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • ISBN 9780387950709 / 0387950702
  • Weight 2.56 lbs (1.16 kg)
  • Dimensions 9.44 x 6.52 x 1.44 in (23.98 x 16.56 x 3.66 cm)
  • Library of Congress subjects Algebraic number theory
  • Library of Congress Catalog Number 00040044
  • Dewey Decimal Code 512.74
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Classical Theory of Algebraic Numbers
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Classical Theory of Algebraic Numbers

by Paulo Ribenboim

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Classical Theory of Algebraic Numbers (Universitext)
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Classical Theory of Algebraic Numbers (Universitext)

by Ribenboim, Paulo

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Classical Theory of Algebraic Numbers (Universitext)
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Classical Theory of Algebraic Numbers (Universitext)

by Ribenboim, Paulo

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  • Hardcover
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ISBN 10 / ISBN 13
9780387950709 / 0387950702
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