Description

Book Synopsis
Dedekind memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in installments in French in 1877. This is a translation of that work by John Stillwell, who also adds a detailed introduction that gives the historical background as well as outlining the mathematical obstructions that Dedekind was striving to overcome.

Trade Review
"The book has historical interest in providing a very clear glimpse of the origins of modern algebra and algebraic number theory, but it also has considerable mathematical interest. It is truly astonishing that a text written one hundred and twenty years ago, well before modern algebraic terminology and concepts were introduced and accepted, can provide a plausible introduction to algebraic number theory for a student today." Mathematical Reviews Clippings 98h

Table of Contents
Part I. Translator's Introduction: 1. General remarks; 2. Squares; 3. Quadratic forms; 4. Quadratic integers; 5. Roots of unity; 6. Algebraic integers; 7. The reception of ideal theory; Part II. Theory of Algebraic Integers: 8. Auxiliary theorems from the theory of modules; 9. Germ of the theory of ideals; 10. General properties of algebraic integers; 11. Elements of the theory of ideals.

Theory of Algebraic Integers

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    A Paperback by Richard Dedekind, John Stillwell, John Stillwell

    £56.16

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      Book details

      Publisher Cambridge University Press
      Published 9/28/1996 12:00:00 AM
      ISBN-13 9780521565189
      978-0521565189
      ISBN-10 0521565189
      Also in:
      Number theory

      Description

      Book Synopsis
      Dedekind memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in installments in French in 1877. This is a translation of that work by John Stillwell, who also adds a detailed introduction that gives the historical background as well as outlining the mathematical obstructions that Dedekind was striving to overcome.

      Trade Review
      "The book has historical interest in providing a very clear glimpse of the origins of modern algebra and algebraic number theory, but it also has considerable mathematical interest. It is truly astonishing that a text written one hundred and twenty years ago, well before modern algebraic terminology and concepts were introduced and accepted, can provide a plausible introduction to algebraic number theory for a student today." Mathematical Reviews Clippings 98h

      Table of Contents
      Part I. Translator's Introduction: 1. General remarks; 2. Squares; 3. Quadratic forms; 4. Quadratic integers; 5. Roots of unity; 6. Algebraic integers; 7. The reception of ideal theory; Part II. Theory of Algebraic Integers: 8. Auxiliary theorems from the theory of modules; 9. Germ of the theory of ideals; 10. General properties of algebraic integers; 11. Elements of the theory of ideals.

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