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.
"synopsis" may belong to another edition of this title.
The technical difficulties of algebraic number theory often make this subject appear difficult to beginners. This undergraduate textbook provides a welcome solution to these problems as it provides an approachable and thorough introduction to the topic.
Algebraic Number Theory takes 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.
"About this title" may belong to another edition of this title.
Shipping:
US$ 2.64
Within U.S.A.
Book Description Condition: New. Seller Inventory # 21584696-n
Book Description Condition: New. Book is in NEW condition. Seller Inventory # 3319075446-2-1
Book Description Condition: New. New! This book is in the same immaculate condition as when it was published. Seller Inventory # 353-3319075446-new
Book Description Condition: New. pp. 308. Seller Inventory # 26127066938
Book Description Soft Cover. Condition: new. Seller Inventory # 9783319075440
Book Description Condition: New. pp. 308 3 Illus. Seller Inventory # 132472037
Book Description Paperback or Softback. Condition: New. Algebraic Number Theory 0.96. Book. Seller Inventory # BBS-9783319075440
Book Description Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEOCT23-22714
Book Description Condition: New. Brand New Original US Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery.This item may ship from the US or other locations in India depending on your location and availability. Seller Inventory # ABTR-296339
Book Description Condition: New. Seller Inventory # ABLIING23Mar3113020087546