Rational Number Theory in the 20th Century

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Sprache: Englisch

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Beschreibung

The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat¿s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.

Zusammenfassung

Accessible to non-experts as it presents the main results in the field without detailing the technicalities.

Offers an overview of 20th century developments in classical number theory for the first time.

Includes an extensive bibliography with over 4,000 references.

Includes supplementary material: [...]

Inhaltsverzeichnis

The Heritage.- The First Years.- The Twenties.- The Thirties.- The Forties and Fifties.- The Last Period.- Fermat's Last Theorem

Details

Erscheinungsjahr:	2011
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Springer Monographs in Mathematics
Inhalt:	xiv 654 S.
ISBN-13:	9780857295316
ISBN-10:	0857295314
Sprache:	Englisch
Herstellernummer:	80044074
Ausstattung / Beilage:	HC gerader Rücken kaschiert
Einband:	Gebunden
Autor:	Narkiewicz, W¿adys¿aw
Hersteller:	Springer London Springer-Verlag London Ltd. Springer Monographs in Mathematics
Maße:	241 x 160 x 40 mm
Von/Mit:	W¿adys¿aw Narkiewicz
Erscheinungsdatum:	03.09.2011
Gewicht:	1,156 kg

Artikel-ID: 107073672