Excursions in Number Theory - Brossura

Ogilvy, C. Stanley

Brossura

ISBN 10: 0486257789 ISBN 13: 9780486257785

Casa editrice: Dover Pubns, 1988

Riassunto

"A splendidly written, well selected and presented collection ... I recommend the book unreservedly to all readers, in or out of professional mathematics, who like to 'follow the gleam' of numbers." — Martin Gardner.
The theory of numbers is an ancient and fascinating branch of mathematics that plays an important role in modern computer theory. It is also a popular topic among amateur mathematicians (who have made many contributions to the field) because of its accessibility: it does not require advanced knowledge of higher mathematics.
This delightful volume, by two well-known mathematicians, invited readers to join a challenging expedition into the mystery and magic of number theory. No special training is needed — just high school mathematics, a fondness for figures, and an inquisitive mind. Such a person will soon be absorbed and intrigued by the ideas and problems presented here.
Beginning with familiar notions, the authors skillfully yet painlessly transport the reader to higher realms of mathematics, developing the necessary concepts along the way, so that complex subjects can be more easily understood. Included are thorough discussions of prime numbers, number patterns, irrationals and iterations, and calculating prodigies, among other topics.
Much of the material presented is not to be found in other popular treatments of number theory. Moreover, there are many important proofs (presented with simple and elegant explanations) often lacking in similar volumes. In sum, Excursions in Number Theory offers a splendid compromise between highly technical treatments inaccessible to lay readers and popular books with too little substance. Its stimulating and challenging presentation of significant aspects of number theory may be read lightly for enjoyment or studied closely for an exhilarating mental challenge.

Su questo libro

Contenuti:

1 The beginnings 2 Number patterns 3 Prime numbers as building blocks 4 Congruence arithmetic 5 Irrationals and iterations 6 Diophantine equations 7 Number curios 8 Prime numbers as leftover scrap 9 Calculating prodigies and prodigious calculations 10 Continued fractions 11 Fibonacci numbers Notes Index

Product Description:

Book by C Stanley Ogilvy

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 1988
• ISBN 10: 0486257789
• ISBN 13: 9780486257785
• Rilegatura: Copertina flessibile
• Numero di pagine: 168