Ideal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Author Underwood Dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. In keeping with this philosophy, the text includes nearly 1,000 exercises and problems some computational and some classical, many original, and some with complete solutions.
The opening chapters offer sound explanations of the basics of elementary number theory anddevelop the...

It is impossible to trisect angles with straightedge and compass alone, but many people try and think they have succeeded. This book is about angle trisections and the people who attempt them. Its purposes are to collect many trisections in one place, inform about trisectors, to amuse the reader, and, perhaps most importantly, to reduce the number of trisectors. This book includes detailed information about the personalities of trisectors and their constructions. It can be read by anyone who has taken a high school geometry course.

Fur viele Menschen besitzen die Zahlen eine Bedeutung, die uber den Zahlenwert hinausgeht, sie haben eine innere Natur und einen magischen Charakter. So weisen Numerologen und Zahlenmystiker den Zahlen eine aussergewohnliche Macht uber Ereignisse zu. Ein Pyramidologe zum Beispiel vermisst seine Pyramide und schliet aus den Zahlen, dass die Welt am 20. August 1953 untergeht. Die Borsenkurse schwanken auf und ab, weil die Fibonaccizahlen sie dazu bringen, die Bibel ist voller Siebener und Dreizehner, weil Gott es so gewollt hat, und Biorhythmiker behaupten, die Menschen oszillieren in Zyklen...