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Lectures on the theory of algebraic numbers

By: Material type: TextTextLanguage: English Series: Graduate texts in mathematics ; 77Publication details: New York Springer-Verlag 1981; Springer-Verlag; 1981Description: xii, 239pISBN:
  • 0387905952 (HB)
Subject(s):
Contents:
I Elements of Rational Number Theory II Abelian Groups III Abelian Groups in Rational Number Theory IV Algebra of Number Fields V General Arithmetic of Algebraic Number Fields VI Introduction of Transcendental Methods into the Arithmetic of Number Fields VII The Quadratic Number Field VIII The Law of Quadratic Reciprocity in Arbitrary Number Fields
Summary: If one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L­ series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task.
Item type: BOOKS
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IMSc Library 51.2 HEC (Browse shelf(Opens below)) Available For Binding 20712

Includes bibliography (p. 239) and references

I Elements of Rational Number Theory
II Abelian Groups
III Abelian Groups in Rational Number Theory
IV Algebra of Number Fields
V General Arithmetic of Algebraic Number Fields
VI Introduction of Transcendental Methods into the Arithmetic of Number Fields
VII The Quadratic Number Field
VIII The Law of Quadratic Reciprocity in Arbitrary Number Fields

If one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L­ series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task.

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The Institute of Mathematical Sciences, Chennai, India