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The Skeleton Key of Mathematics: A Simple Account of Complex Algebraic Theories (Dover Books on Mathematics) Paperback – November 11, 2002

4.7 out of 5 stars 3 customer reviews

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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 142 pages
  • Publisher: Dover Publications (November 11, 2002)
  • Language: English
  • ISBN-10: 0486425436
  • ISBN-13: 978-0486425436
  • Product Dimensions: 6.1 x 0.3 x 8 inches
  • Shipping Weight: 5.6 ounces (View shipping rates and policies)
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #1,107,281 in Books (See Top 100 in Books)

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Format: Paperback
I used the chapter on Galois Theory as a reference for a course I was in because it had such a concrete explanation on how Galois Theory works. However, it didn't mention anything about field extensions & barely mentioned groups. That's why I liked this book, it gives concrete versions of things like (off the top of my head) complex variables, matrices, Galois Theory, polynomials, tensors & more. There's a chapter on each subject & treats it in a very concrete manner. Any math student not totally comfortable with abstractness (as I was, with Galois Theory of equations anyway) would find this book helpful, imo.
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Format: Paperback
This book, covers just about everything important in algebra from basic operations on numbers to groups and tensors, both pure and applied, and all in less than 150 pages!

Given, the above scope, it moves quickly, but should be completely comprehensible to anyone with a strong High School math background, as long as the student reads slowly and carefully. The advantage of the compression is that it is possible to see the whole field and its connections without getting mired in the details.

Fantastic for a broad overview of algebra, prior to studying in more detail (or afterwards, to see how it all fits together). Don't be put off by the age of the book and, for the money, unbeatable.
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Format: Paperback
This is an old, elegantly presented, reminder of algebraic theories which should be general knowledge of the mathematics and physics students now. Disgracefully, they are not, and a short, concise review is something which could be readen in a pair of afternoons for the mere pleasure of adquiring a general idea of many theories. This book provides that, if one is prepared to cope with a little antique names. Dr. Littlewoods "Simple Account" should be amply recommended.
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