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A Field Guide to Algebra
ISBN-13:
9780387269559
Veröffentl:
2007
Seiten:
198
Autor:
Antoine Chambert-Loir
Serie:
Undergraduate Texts in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
Field extensions.- Roots.- Galois theory.- A bit of group theory.- Applications.- Algebraic theory of differential equations.
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