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Number Fields
Language: en
Pages: 213
Authors: Daniel A. Marcus
Categories: Mathematics
Type: BOOK - Published: 2018-07-05 - Publisher: Springer

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Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It th
The Theory of Algebraic Number Fields
Language: en
Pages: 360
Authors: David Hilbert
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly in
Algebraic Number Fields
Language: en
Pages: 288
Authors: Gerald J. Janusz
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

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This text presents the basic information about finite dimensional extension fields of the rational numbers, algebraic number fields, and the rings of algebraic
Cohomology of Number Fields
Language: en
Pages: 831
Authors: Jürgen Neukirch
Categories: Mathematics
Type: BOOK - Published: 2013-09-26 - Publisher: Springer Science & Business Media

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This second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician,
Quadratic Number Fields
Language: en
Pages: 348
Authors: Franz Lemmermeyer
Categories: Mathematics
Type: BOOK - Published: 2021-09-18 - Publisher: Springer Nature

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This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at