The Resource A Field Guide to Algebra, by Antoine Chambert-Loir, (electronic resource)

A Field Guide to Algebra, by Antoine Chambert-Loir, (electronic resource)

Label
A Field Guide to Algebra
Title
A Field Guide to Algebra
Statement of responsibility
by Antoine Chambert-Loir
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This unique textbook focuses on the structure of fields and is intended for a second course in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. The reader will hear about equations, both polynomial and differential, and about the algebraic structure of their solutions. In explaining these concepts, the author also provides comments on their historical development and leads the reader along many interesting paths. In addition, there are theorems from analysis: as stated before, the transcendence of the numbers pi and e, the fact that the complex numbers form an algebraically closed field, and also Puiseux's theorem that shows how one can parametrize the roots of polynomial equations, the coefficients of which are allowed to vary. There are exercises at the end of each chapter, varying in degree from easy to difficult. To make the book more lively, the author has incorporated pictures from the history of mathematics, including scans of mathematical stamps and pictures of mathematicians. Antoine Chambert-Loir taught this book when he was Professor at École polytechnique, Palaiseau, France. He is now Professor at Université de Rennes 1
Member of
Is Subseries of
http://library.link/vocab/creatorName
Chambert-Loir, Antoine
Dewey number
512/.3
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
IwoSbnGJ4ho
Language note
English
LC call number
QA150-272
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Undergraduate Texts in Mathematics,
http://library.link/vocab/subjectName
  • Algebra
  • Field theory (Physics)
  • Number theory
  • Algebra
  • Field Theory and Polynomials
  • Number Theory
  • Commutative Rings and Algebras
Label
A Field Guide to Algebra, by Antoine Chambert-Loir, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [189]) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Field extensions -- Roots -- Galois theory -- A bit of group theory -- Applications -- Algebraic theory of differential equations
Dimensions
unknown
Extent
1 online resource (198 p.)
Form of item
online
Isbn
9780387269559
Media category
computer
Media type code
  • c
Other control number
10.1007/b138364
Specific material designation
remote
System control number
  • (CKB)1000000000491986
  • (EBL)3062390
  • (SSID)ssj0000317641
  • (PQKBManifestationID)11253081
  • (PQKBTitleCode)TC0000317641
  • (PQKBWorkID)10294509
  • (PQKB)10025747
  • (SSID)ssj0000769997
  • (PQKBManifestationID)12315516
  • (PQKBTitleCode)TC0000769997
  • (PQKBWorkID)10785295
  • (PQKB)10413165
  • (DE-He213)978-0-387-26955-9
  • (MiAaPQ)EBC3062390
  • (EXLCZ)991000000000491986
Label
A Field Guide to Algebra, by Antoine Chambert-Loir, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [189]) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Field extensions -- Roots -- Galois theory -- A bit of group theory -- Applications -- Algebraic theory of differential equations
Dimensions
unknown
Extent
1 online resource (198 p.)
Form of item
online
Isbn
9780387269559
Media category
computer
Media type code
  • c
Other control number
10.1007/b138364
Specific material designation
remote
System control number
  • (CKB)1000000000491986
  • (EBL)3062390
  • (SSID)ssj0000317641
  • (PQKBManifestationID)11253081
  • (PQKBTitleCode)TC0000317641
  • (PQKBWorkID)10294509
  • (PQKB)10025747
  • (SSID)ssj0000769997
  • (PQKBManifestationID)12315516
  • (PQKBTitleCode)TC0000769997
  • (PQKBWorkID)10785295
  • (PQKB)10413165
  • (DE-He213)978-0-387-26955-9
  • (MiAaPQ)EBC3062390
  • (EXLCZ)991000000000491986

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