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The Resource Algebraic Number Theory, by Frazer Jarvis, (electronic resource)
Algebraic Number Theory, by Frazer Jarvis, (electronic resource)
Resource Information
The item Algebraic Number Theory, by Frazer Jarvis, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Algebraic Number Theory, by Frazer Jarvis, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 modernday 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
 Language
 eng
 Extent
 XIII, 292 p. 3 illus.
 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
 Isbn
 9783319075457
 Label
 Algebraic Number Theory
 Title
 Algebraic Number Theory
 Statement of responsibility
 by Frazer Jarvis
 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 modernday 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
 http://library.link/vocab/creatorName
 Jarvis, Frazer
 Image bit depth
 0
 LC call number
 QA241247.5
 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)
 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
 10.1007/9783319075457
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319075457
 Label
 Algebraic Number Theory, by Frazer Jarvis, (electronic resource)
 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
 10.1007/9783319075457
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319075457
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/AlgebraicNumberTheorybyFrazerJarvis/ud5xKnTzFU/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/AlgebraicNumberTheorybyFrazerJarvis/ud5xKnTzFU/">Algebraic Number Theory, by Frazer Jarvis, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>