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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.
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 aussergewoehnliche Macht uber Ereignisse zu. Ein
Pyramidologe zum Beispiel vermisst seine Pyramide und schliesst aus
den Zahlen, dass die Welt am 20. August 1953 untergeht. Die
Boersenkurse 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 von 23, 28 und 33 Tagen, und folglich sei
unser Verhalten von diesen Ziffern bestimmt. Es findet sich kaum
ein Bereich, auf den nicht irgendwelche Zahlen angeblich Einfluss
haben. Underwood Dudley hat sich ihren Geheimsinn naher angesehen
und begleitet in seinem unterhaltsam zu lesendem Buch den Leser auf
eine historische Tour durch die Numerologie. Angefangen mit
Pythagoras, uber die Neupythagoraer, die Pyramidologen, die
biblischen und Shakespeares Zahlen, wird der Bogen bis hin zu
modernen Zahlenmystikern gespannt, die eine geheimnisvolle
Zahlenfolge etwa auch im UPC-Strichcode zu finden glauben. Dabei
lasst Dudley den Leser nicht im Zweifel, wie die Mathematik die
Numerologie sieht: Diesen Aberglauben mit den Mitteln der Vernunft
zu bekampfen, ist fur sie und den Autor die vordringlichste
Aufgabe.
This scarce antiquarian book is a selection from Kessinger
Publishing's Legacy Reprint Series. Due to its age, it may contain
imperfections such as marks, notations, marginalia and flawed
pages. Because we believe this work is culturally important, we
have made it available as part of our commitment to protecting,
preserving, and promoting the world's literature. Kessinger
Publishing is the place to find hundreds of thousands of rare and
hard-to-find books with something of interest for everyone
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 and develop the fundamental properties of
integers and congruences. Subsequent chapters present proofs of
Fermat's and Wilson's theorems, introduce number theoretic
functions, and explore the quadratic reciprocity theorem. Three
independent sections follow, with examinations of the
representation of numbers, diophantine equations, and primes. The
text concludes with 260 additional problems, three helpful
appendixes, and answers to selected exercises and problems.
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