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Classical Theory of Algebraic Numbers

by Paulo Ribenboim
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Current price ₹5,813.00
Original price ₹8,943.00
Original price ₹8,943.00
Original price ₹8,943.00
(-35%)
₹5,813.00
Current price ₹5,813.00

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Book cover type: Paperback
  • ISBN13: 9781441928702
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 682
  • Original Price: EUR 79.99
  • Language: English
  • Edition: N/A
  • Item Weight: 1051 grams
  • BISAC Subject(s): Number Theory and Algebra / General

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

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