Algebraic Number Theory

Nonfiction, Science & Nature, Mathematics, Number Theory, Algebra
Cover of the book Algebraic Number Theory by Frazer Jarvis, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Frazer Jarvis ISBN: 9783319075457
Publisher: Springer International Publishing Publication: June 23, 2014
Imprint: Springer Language: English
Author: Frazer Jarvis
ISBN: 9783319075457
Publisher: Springer International Publishing
Publication: June 23, 2014
Imprint: Springer
Language: English

This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory, taking the reader from unique factorisation in the integers through to the modern-day number field sieve. The first few chapters consider the importance of arithmetic in fields larger than the rational numbers. Whilst some results generalise well, the unique factorisation of the integers in these more general number fields often fail. Algebraic number theory aims to overcome this problem. Most examples are taken from quadratic fields, for which calculations are easy to perform.

The middle section considers more general theory and results for number fields, and the book concludes with some topics which are more likely to be suitable for advanced students, namely, the analytic class number formula and the number field sieve. This is the first time that the number field sieve has been considered in a textbook at this level.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory, taking the reader from unique factorisation in the integers through to the modern-day number field sieve. The first few chapters consider the importance of arithmetic in fields larger than the rational numbers. Whilst some results generalise well, the unique factorisation of the integers in these more general number fields often fail. Algebraic number theory aims to overcome this problem. Most examples are taken from quadratic fields, for which calculations are easy to perform.

The middle section considers more general theory and results for number fields, and the book concludes with some topics which are more likely to be suitable for advanced students, namely, the analytic class number formula and the number field sieve. This is the first time that the number field sieve has been considered in a textbook at this level.

More books from Springer International Publishing

Cover of the book Constructive Side-Channel Analysis and Secure Design by Frazer Jarvis
Cover of the book Comprehensive Energy Management - Safe Adaptation, Predictive Control and Thermal Management by Frazer Jarvis
Cover of the book Muslim Women at Work by Frazer Jarvis
Cover of the book The History of Islam by Frazer Jarvis
Cover of the book Advances in Information Retrieval by Frazer Jarvis
Cover of the book Ambient Intelligence by Frazer Jarvis
Cover of the book Imagining Industan by Frazer Jarvis
Cover of the book Using R for Digital Soil Mapping by Frazer Jarvis
Cover of the book Influenza Pathogenesis and Control - Volume II by Frazer Jarvis
Cover of the book Virtual Reality and Augmented Reality by Frazer Jarvis
Cover of the book European Arrest Warrant by Frazer Jarvis
Cover of the book Clinical Cases in Skin Cancer Surgery and Treatment by Frazer Jarvis
Cover of the book Early Modern Humanism and Postmodern Antihumanism in Dialogue by Frazer Jarvis
Cover of the book Statistical Analysis of Noise in MRI by Frazer Jarvis
Cover of the book Heritage, Pilgrimage and the Camino to Finisterre by Frazer Jarvis
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy