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Classical Galois Theory, With Examples 5th Edition

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ISBN-13: 978-0821813751
ISBN-10: 0821813757
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Excellent for undergraduate independent study since it demands reader participation. --American Mathematics Monthly


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Product Details

  • Series: AMS Chelsea Publishing
  • Hardcover: 248 pages
  • Publisher: Amercan Mathematical Society; 5th edition (September 1998)
  • Language: English
  • ISBN-10: 0821813757
  • ISBN-13: 978-0821813751
  • Product Dimensions: 0.8 x 6.5 x 9.5 inches
  • Shipping Weight: 1.2 pounds
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #594,953 in Books (See Top 100 in Books)

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20 of 21 people found the following review helpful By Michael Gunther on September 27, 2003
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Classical Galois Theory deals, in essence, with the solutions to polynomial equations. Its applications are spectacular, including the algebraic result that some polynomial equations of degree >= 5 can't be solved in radicals, and the geometrical result that the cube can't be doubled by ruler-and-compass constructions. Today Galois theory is tought very abstractly, such that advanced mathematics students can follow the proofs, but perhaps will have difficulty in working out concrete problems. Lisl Gaal's book (1971) admirably fills in this gap. It contains numerous practical exercises, and it is much easier to read and understand than most contemporary textbooks on the subject.

The book does not require any significant prerequisites, since it develops the necessary background of group theory and field theory from scratch. It can be read and understood by any bright undergraduate mathematics major. I've studied Galois Theory from more advanced textbooks, but feel that I've understood it better for reading Gaal's book and working out the numerous exercises in it. I would recommend this book very highly as a supplementary text to any undergraduate course in abstract algebra, and even as a refresher for graduate students who are studying for their prelims.
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