Fermat’s Last Theorem: A Genetic Introduction to Algebraic Number Theory: 50 (Graduate Texts in Mathematics) - Hardcover

Edwards, Harold M.

Hardcover

ISBN 10: 0387902309 ISBN 13: 9780387902302

Verlag: Springer, 1977

Inhaltsangabe

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.

Über diesen Titel

Reseña del editor

This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated 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 Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1977
• Sprache: Englisch
• ISBN 10: 0387902309
• ISBN 13: 9780387902302
• Einband: Tapa dura
• Anzahl der Seiten: 434
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland