Band 50
Fermat's Last Theorem A Genetic Introduction to Algebraic Number Theory
Aus der Reihe
Graduate Texts in Mathematics
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- Hardcover
- Taschenbuch ausgewählt
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Sprache:Englisch
Fr. 79.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
14.01.2000
Abbildungen
XV, 407 p.
Verlag
Springer UsSeitenzahl
407
Maße (L/B/H)
23.5/15.5/2.4 cm
Gewicht
651 g
Auflage
1st ed. 1977. 3rd printing 2000
Sprache
Englisch
ISBN
978-0-387-95002-0
This book is an introduction to algebraic number theory via the famous problem of "Fermat's Last Theorem." The exposition follows the historical development of the problem, beginning with the work of Fermat and ending with Kummer's theory of "ideal" factorization, by means of which the theorem is proved for all prime exponents less than 37. The more elementary topics, such as Euler's proof of the impossibilty of x+y=z, are treated in an elementary way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummer's ideal theory to quadratic integers and relates this theory to Gauss' theory of binary quadratic forms, an interesting and important connection that is not explored in any other book.
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