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The Resource Algebraic Theory of Quadratic Numbers, by Mak Trifković, (electronic resource)
Algebraic Theory of Quadratic Numbers, by Mak Trifković, (electronic resource)
Resource Information
The item Algebraic Theory of Quadratic Numbers, by Mak Trifković, (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 Theory of Quadratic Numbers, by Mak Trifković, (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
 By focusing on quadratic numbers, this advanced undergraduate or master’s level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. The book concludes with two topics particular to quadratic fields: continued fractions and quadratic forms. The treatment of quadratic forms is somewhat more advanced than usual, with an emphasis on their connection with ideal classes and a discussion of Bhargava cubes. The numerous exercises in the text offer the reader handson computational experience with elements and ideals in quadratic number fields. The reader is also asked to fill in the details of proofs and develop extra topics, like the theory of orders. Prerequisites include elementary number theory and a basic familiarity with ring theory
 Language
 eng
 Extent
 XI, 197 p. 29 illus.
 Contents

 1 Examples
 2 A Crash Course in Ring Theory
 3 Lattices
 4 Arithmetic in Q[√D]
 5 The Ideal Class Group and Geometry of Numbers
 6 Continued Fractions
 7 Quadratic Forms
 Appendix
 Hints to Selected Exercises
 Index
 Isbn
 9781461477174
 Label
 Algebraic Theory of Quadratic Numbers
 Title
 Algebraic Theory of Quadratic Numbers
 Statement of responsibility
 by Mak Trifković
 Language
 eng
 Summary
 By focusing on quadratic numbers, this advanced undergraduate or master’s level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. The book concludes with two topics particular to quadratic fields: continued fractions and quadratic forms. The treatment of quadratic forms is somewhat more advanced than usual, with an emphasis on their connection with ideal classes and a discussion of Bhargava cubes. The numerous exercises in the text offer the reader handson computational experience with elements and ideals in quadratic number fields. The reader is also asked to fill in the details of proofs and develop extra topics, like the theory of orders. Prerequisites include elementary number theory and a basic familiarity with ring theory
 http://library.link/vocab/creatorName
 Trifković, Mak
 Image bit depth
 0
 LC call number
 QA241247.5
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Mathematics
 Algebra
 Number theory
 Mathematics
 Number Theory
 Algebra
 Label
 Algebraic Theory of Quadratic Numbers, by Mak Trifković, (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
 1 Examples  2 A Crash Course in Ring Theory  3 Lattices  4 Arithmetic in Q[√D]  5 The Ideal Class Group and Geometry of Numbers  6 Continued Fractions  7 Quadratic Forms  Appendix  Hints to Selected Exercises  Index
 Dimensions
 unknown
 Extent
 XI, 197 p. 29 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781461477174
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461477174
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781461477174
 Label
 Algebraic Theory of Quadratic Numbers, by Mak Trifković, (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
 1 Examples  2 A Crash Course in Ring Theory  3 Lattices  4 Arithmetic in Q[√D]  5 The Ideal Class Group and Geometry of Numbers  6 Continued Fractions  7 Quadratic Forms  Appendix  Hints to Selected Exercises  Index
 Dimensions
 unknown
 Extent
 XI, 197 p. 29 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781461477174
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461477174
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781461477174
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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/AlgebraicTheoryofQuadraticNumbersbyMak/9NnaCA8I4K0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/AlgebraicTheoryofQuadraticNumbersbyMak/9NnaCA8I4K0/">Algebraic Theory of Quadratic Numbers, by Mak Trifković, (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>
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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/AlgebraicTheoryofQuadraticNumbersbyMak/9NnaCA8I4K0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/AlgebraicTheoryofQuadraticNumbersbyMak/9NnaCA8I4K0/">Algebraic Theory of Quadratic Numbers, by Mak Trifković, (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>