A Field Guide to Algebra (Undergraduate Texts in Mathematics) 2005th Edition by Antoine Chambert-Loir (PDF)

Description

This book has a nonstandard choice of topics, including material on differential galois groups and proofs of the transcendence of e and pi. The author uses a conversational tone and has included a selection of stamps to accompany the text.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐We used this book in a junior undergraduate class named “Field Extensions and Galois Theory” and I really hated it. The arguments made in proofs are often not really clear. The exercises don’t help much in understanding the material on that section, they are sometimes just irrelevant.The author defines a “Ring of Remainders” for a given polynomial and it is really disturbing when you know that the same ring arises much more naturally as a quotient ring using the ideal generated by the given polynomial.I think the book also lacks somewhat in motivation, especially compared to books like Ian Stewart’s. I had to purchase Stewart’s book to understand the subject better while I was taking the course actually.Overall, I really don’t advise this book. I can say Stewart’s book is clearly better and I’m sure there are a lot more better books in Galois Theory out there.

⭐Not found.

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