My numbers, my friends. Popular lectures on number theory.

*(English)*Zbl 0947.11001New York, NY: Springer. ix, 375 p. DM 79.00; öS 577.00; sFr. 72.00; £27.00; $ 39.95 (2000).

This is a book of popular lectures on number theory. The chapter titles speak for themselves: The Fibonacci numbers and the Arctic Ocean, Representation of real numbers and means of Fibonacci numbers, Prime number records, Selling primes, Euler’s famous prime generating polynomial, Gauss and the class number problem, Consecutive powers, 1093, Powerless facing powers, What kind of number is ${\sqrt{2}}^{\sqrt{2}}$?, Galimatias arithmeticae.

The exposition is relaxed, with plenty of numerical examples, conjectures and other asides. Technicalities are largely avoided, so that a beginning graduate student could read and enjoy this without preparation.

Reviewer: D.R.Heath-Brown (Oxford)