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Algebra and Geometry 1st Edition

by
Alan F. Beardon (Author)
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Alan F. Beardon (Author)
4.0 out of 5 stars 2 customer reviews
ISBN-13: 978-0521890496
ISBN-10: 0521890497
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Product Details

  • Paperback: 336 pages
  • Publisher: Cambridge University Press; 1 edition (June 20, 2005)
  • Language: English
  • ISBN-10: 0521890497
  • ISBN-13: 978-0521890496
  • Product Dimensions: 6 x 0.6 x 9 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #959,535 in Books (See Top 100 in Books)

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5.0 out of 5 starsExcellent first glimpse into the algebraic world
By Justin Curry on August 3, 2007
Format: Paperback Verified Purchase
This book has become a bible of sorts to first-year students studying mathematics at Cambridge. Its quality as a text cannot be doubted, although its usefulness for further years of algebra is limited. This is precisely the book to study from if you are doing vector calculus and differential equations, but still aren't sure about doing mathematics seriously. If you have not taken a course in linear algebra or abstract algebra, buy the paperback copy of this book and start reading right away. Beardon starts with (what I believe is the best way) the study of permutations (think about shuffling a deck of cards) to develop an intuition of the basic notions of a group. From here the fundamentals for further study in mathematics is laid. I won't repeat the table of contents here, as you can look for yourself, but believe me when I say that mastering the concepts in this book will serve you very well.

I truly wish I had a course which devoted itself to the complete digestion of this book. I used it for self-study and found that it served me very well. It does not fall easily into the structure of most American math sequences, as these departments are often forced to "modularize" mathematics into semester-bite-sized pieces. I believe that this often has a negative impact on the appreciation of mathematics as a whole, especially at the nexus between doing basic calculus and appreciating proof, rigor and beauty in mathematical structures.

The book may not go into the same depth as, say, Artin's "Algebra", but rather the foundational concepts for the study of algebra and geometry are emphasized in a variety of settings. This is very important as the study of "abstract algebra" is precisely that if you do not have a wide-selection of examples and contexts to draw from.Read more ›
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3.0 out of 5 starsExcellent book, bad scan into Kindle
By N.S. Palmer on December 27, 2011
Format: Kindle Edition Verified Purchase
Other reviewers have addressed the merits of the book's content, which is excellent.

However, the Kindle edition is scanned so badly from print that it's almost unusable.

For example, in Section 4.2, the scalar product of two vectors x and y is defined thusly:

x dot y = x1<scanner left this mostly blank> + x2y2 + x3y3

Yes, an intelligent person can figure out what's missing. But you shouldn't pay $35 for a book and then need to "fill in the blanks." The entire content should be there.

Any proofreader would have caught that omission, and the eBook contains other similar omissions.

It is a disgrace that Cambridge UP would issue an eBook in such poor condition.
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