Algebraic Number Theory by Frazer Jarvis: New

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Last updated on Aug 23, 2025 14:50:07 SGTView all revisionsView all revisions

Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Book Title
Algebraic Number Theory
Publication Date
2014-07-04
ISBN
9783319075440
Category

About this product

Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
3319075446
ISBN-13
9783319075440
eBay Product ID (ePID)
201631205

Product Key Features

Number of Pages
Xiii, 292 Pages
Publication Name
Algebraic Number Theory
Language
English
Publication Year
2014
Subject
Algebra / Abstract, Number Theory
Type
Textbook
Author
Frazer Jarvis
Subject Area
Mathematics
Series
Springer Undergraduate Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
165.3 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Dewey Edition
23
Reviews
From the book reviews: "In this book, the author leads the readers from the theorem of unique factorization in elementary number theory to central results in algebraic number theory. ... This book is designed for being used in undergraduate courses in algebraic number theory; the clarity of the exposition and the wealth of examples and exercises (with hints and solutions) also make it suitable for self-study and reading courses." (Franz Lemmermeyer, zbMATH, Vol. 1303, 2015)
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
512.74
Table Of Content
Unique factorisation in the natural numbers.- Number fields.- Fields, discriminants and integral bases.- Ideals.- Prime ideals and unique factorisation.- Imaginary quadratic fields.- Lattices and geometrical methods.- Other fields of small degree.- Cyclotomic fields and the Fermat equation.- Analytic methods.- The number field sieve.
Synopsis
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.
LC Classification Number
QA241-247.5

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  • e***u (283)- Feedback left by buyer.
    Past month
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    The listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
  • e***n (392)- Feedback left by buyer.
    Past 6 months
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    Great transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, Joe
  • 0***g (380)- Feedback left by buyer.
    Past 6 months
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    Excellent purchase. Was able to get all three items from the one seller. Seller was able to bundle all three items together into one package. Items as described and arrived in perfect condition. Good communication around shipping and tracking as items delayed and not able to be delivered by original estimate. Thanks to shipping updates I was able to track the items arriving before the extended delivery time. Thank you for making these items available on EBay.