An introduction to the theory of numbers. 5th ed.

*(English)*Zbl 0742.11001New York etc.: John Wiley & Sons, Inc.. xiii, 529 p. (1991).

Since its first appearance in 1960 (see Zbl 0098.036) this book has become a classic in the field. The present fifth edition is an extended, extensively revised version of the previous (1980) one, keeping abreast with current developments. Among the newly added topics there are rational points on curves and a brief discussion of Faltingsâ€™ theorem, but also such classical subjects as Dirichlet series and asymptotic estimates of arithmetical functions.

Thus the book continues to serve as a useful introduction to number theory but meanwhile it has definitely become much more than that. [A German translation has been published in 1991 (see Zbl 0723.11001).].

Reviewer: B.Volkmann (Stuttgart)

##### MSC:

11-01 | Textbooks (number theory) |