The Resource Algebraic number theory, Frazer Jarvis

Algebraic number theory, Frazer Jarvis

Label
Algebraic number theory
Title
Algebraic number theory
Statement of responsibility
Frazer Jarvis
Creator
Author
Subject
Genre
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
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Jarvis, Frazer
Dewey number
512.7/4
Illustrations
illustrations
Index
index present
LC call number
QA247
Literary form
non fiction
Nature of contents
dictionaries
NLM call number
Online Book
Series statement
Springer Undergraduate Mathematics Series,
http://library.link/vocab/subjectName
  • Algebraic number theory
  • Algebraic number theory
  • Mathematics
  • Physical Sciences & Mathematics
  • Algebra
  • Mathematics
  • Mathematics
  • Mathematics
  • Number Theory
  • Field Theory and Polynomials
Label
Algebraic number theory, Frazer Jarvis
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-07545-7
Instantiates
Publication
Note
Includes index
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
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
1 online resource (xiii, 292 pages)
File format
unknown
Form of item
online
Isbn
9783319075457
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-07545-7
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)883022070
  • (OCoLC)ocn883022070
Label
Algebraic number theory, Frazer Jarvis
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-07545-7
Publication
Note
Includes index
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
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
1 online resource (xiii, 292 pages)
File format
unknown
Form of item
online
Isbn
9783319075457
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-07545-7
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)883022070
  • (OCoLC)ocn883022070

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