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The Resource Algebraic number theory, Frazer Jarvis
Algebraic number theory, Frazer Jarvis
Resource Information
The item Algebraic number theory, Frazer Jarvis represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Algebraic number theory, Frazer Jarvis represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma 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
 1 online resource (xiii, 292 pages)
 Note
 Includes index
 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
 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
 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
 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
 10.1007/9783319075457
 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
 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
 10.1007/9783319075457
 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
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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