The Resource Algebraic Number Theory, by Frazer Jarvis, (electronic resource)

Algebraic Number Theory, by Frazer Jarvis, (electronic resource)

Label
Algebraic Number Theory
Title
Algebraic Number Theory
Statement of responsibility
by Frazer Jarvis
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Jarvis, Frazer
Image bit depth
0
LC call number
QA241-247.5
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Undergraduate Mathematics Series,
http://library.link/vocab/subjectName
  • Mathematics
  • Field theory (Physics)
  • Number theory
  • Mathematics
  • Number Theory
  • Field Theory and Polynomials
Label
Algebraic Number Theory, by Frazer Jarvis, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XIII, 292 p. 3 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319075457
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-07545-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-07545-7
Label
Algebraic Number Theory, by Frazer Jarvis, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XIII, 292 p. 3 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319075457
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-07545-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-07545-7

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