Number Fields

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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

Quadratic Number Fields

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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

The Theory of Algebraic Number Fields

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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

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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

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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,