Exploratory Galois Theory - Brossura

Swallow, John

Brossura

ISBN 10: 0521544998 ISBN 13: 9780521544993

Casa editrice: Cambridge University Press, 2004

Riassunto

Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and assumes of its readers only a first course in abstract algebra. The author organizes the theory around natural questions about algebraic numbers, and exercises with hints and proof sketches encourage students' participation in the development. For readers with Maple or Mathematica, the text introduces tools for hands-on experimentation with finite extensions of the rational numbers, enabling a familiarity never before available to students of the subject. Exploratory Galois Theory includes classical applications, from ruler-and-compass constructions to solvability by radicals, and also outlines the generalization from subfields of the complex numbers to arbitrary fields. The text is appropriate for traditional lecture courses, for seminars, or for self-paced independent study by undergraduates and graduate students.

Su questo libro

Recensione:

'The exploration-based approach to the subject is very down-to-earth, entertaining, motivating, encouraging and enlightening, making the text highly suitable for undergraduate courses, for seminars, or for self-paced independent study by interested beginners.' Zentralblatt MATH

Descrizione del libro:

Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and assumes of its readers only a first course in abstract algebra.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2004
• ISBN 10: 0521544998
• ISBN 13: 9780521544993
• Rilegatura: Copertina flessibile
• Numero di pagine: 222