Galois Theory for Beginners: A Historical Perspective (Student Matehmatical Library, 35) - Softcover

Bewersdorff, Jorg

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9780821838174: Galois Theory for Beginners: A Historical Perspective (Student Matehmatical Library, 35)
Softcover
ISBN 10: 0821838172 ISBN 13: 9780821838174
Publisher: Amer Mathematical Society, 2006

Synopsis

Writing for advanced undergraduates and early graduate students, Bewersdorff includes the material necessary to understand groups and fields within his text. With concrete examples he begins with cubic equations, turning to complex numbers, biquadratic equations, equations of degree n and their properties, including plausibility and proof, the search for additional solution formulas, equations that can be reduced in degree, including the decomposition of integer polynomials and Eisenstein's irreducibilty criterion, the construction of regular polygons, the Galois group of an equation, and algebraic structures and Galois theory, including groups and fields, the fundamental theorem, and Artin's version of the fundamental theory. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)

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Review

"For those with minimal exposure to undergraduate mathematics, the book would make for some formidable reading. ... it provides excellent historical and mathematical context." ---- S. J. Colley, Oberlin College for CHOICE Reviews

"...the author has produced both a lovely invitation and a profound first introduction to the realm of Galois theory for everyone." ---- Zentralblatt MATH

"...the book is well-written and pleasant to read." ---- Bill Satzer for MAA Reviews

"About this title" may belong to another edition of this title.

Publisher
Amer Mathematical Society
Publication date
2006
Language
English
ISBN 10 
0821838172
ISBN 13 
9780821838174
Binding
Paperback
Number of pages
180
Rating
  • 4.00 out of 5 stars
    23 ratings by Goodreads