- Series: Undergraduate Texts in Mathematics
- Paperback: 184 pages
- Publisher: Springer (December 1, 2010)
- Language: English
- ISBN-10: 1441928391
- ISBN-13: 978-1441928399
- Product Dimensions: 6 x 0.4 x 9 inches
- Shipping Weight: 1.4 pounds (View shipping rates and policies)
- Average Customer Review: 8 customer reviews
- Amazon Best Sellers Rank: #3,895,415 in Books (See Top 100 in Books)
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Elements of Algebra: Geometry, Numbers, Equations (Undergraduate Texts in Mathematics)
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"...The book is written in a very clear and pleasing style. Each of the 9 chapters of the book concludes with a section called "Discussions", which contains very interesting and valuable historical information and comments on the topics presented in the respective chapter. We strongly recommend this nice volume not only to beginners but also to experts."--MATHEMATICAL REVIEWS
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Elements of Algebra is best studied along with Mathematics and Its History (Undergraduate Texts in Mathematics), also by Stillwell, which expands some of the topics that is treated too briefly in this book.
*) There appears to be a trend away from this attitude, but never as well executed as in Stillwell. The third edition of Stewart's Galois Theory is an example of how previously minimalist texts are being padded with lots of chitchat while little has changed in substance. The very mainstream algebra book of Beachy & Blair introduces the chapter on groups by saying that "the human body exhibits bilateral symmetry". There is none of this vague, pretentious nonsense in Stillwell.
read enjoyable texts on such foundational topics, but reject the all-pervasive "Proposition/Proof/That's it, Figure-it-out-yourself/Proposition..." style on math books. For the rest of us. If "Elements of Number Theory" is recommended before diving into Dedekind's "Theory of Algebraic Integers", this one is great to prepare yourself for Emil Artin.
Thanks again, John.