The Resource Algebraic Theory of Quadratic Numbers, by Mak Trifković, (electronic resource)

Algebraic Theory of Quadratic Numbers, by Mak Trifković, (electronic resource)

Label
Algebraic Theory of Quadratic Numbers
Title
Algebraic Theory of Quadratic Numbers
Statement of responsibility
by Mak Trifković
Creator
Author
Author
Subject
Language
  • eng
  • 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 hands-on 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
Member of
http://library.link/vocab/creatorName
Trifković, Mak
Dewey number
512.74
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
0RoehLwOcvA
Language note
English
LC call number
QA241-247.5
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Number theory
  • Algebra
  • Number Theory
  • Algebra
Label
Algebraic Theory of Quadratic Numbers, by Mak Trifković, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
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
Edition
1st ed. 2013.
Extent
1 online resource (206 p.)
Form of item
online
Isbn
9781461477174
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-7717-4
Specific material designation
remote
System control number
  • (CKB)3710000000019028
  • (EBL)1466254
  • (SSID)ssj0001010483
  • (PQKBManifestationID)11562132
  • (PQKBTitleCode)TC0001010483
  • (PQKBWorkID)10999682
  • (PQKB)11675656
  • (DE-He213)978-1-4614-7717-4
  • (EXLCZ)993710000000019028
Label
Algebraic Theory of Quadratic Numbers, by Mak Trifković, (electronic resource)
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
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
Edition
1st ed. 2013.
Extent
1 online resource (206 p.)
Form of item
online
Isbn
9781461477174
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-7717-4
Specific material designation
remote
System control number
  • (CKB)3710000000019028
  • (EBL)1466254
  • (SSID)ssj0001010483
  • (PQKBManifestationID)11562132
  • (PQKBTitleCode)TC0001010483
  • (PQKBWorkID)10999682
  • (PQKB)11675656
  • (DE-He213)978-1-4614-7717-4
  • (EXLCZ)993710000000019028

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