A Field Guide to Algebra

 Book
Besorgungstitel | Lieferzeit:3-5 Tage I
ISBN-13:
9780387214283
Einband:
Book
Erscheinungsdatum:
01.10.2004
Seiten:
212
Autor:
Antoine Chambert-Loir
Gewicht:
485 g
Format:
235x155x17 mm
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.
This book has a nonstandard choice of topics, including material on differential galois groups and proofs of the transcendence of e and pi.
The author uses a conversational tone and has included a selection of stamps to accompany the text.

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