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Description
Elements of Abstract AlgebraThis concise, readable, college level text treats basic abstract algebra in remarkable depth and detail. An antidote to the usual surveys of structure, the book presents group theory, Galois theory, and classical ideal theory in a framework emphasizing proof of important theorems. Chapter I (Set Theory) covers the basics of sets. Chapter II (Group Theory) is a rigorous introduction to groups. It contains all the results needed for Galois theory as
This concise, readable, college-level text treats basic abstract algebra in remarkable depth and detail. An antidote to the usual surveys of structure, the book presents group theory, Galois theory, and classical ideal theory in a framework emphasizing proof of important theorems.Chapter I (Set Theory) covers the basics of sets. Chapter II (Group Theory) is a rigorous introduction to groups. It contains all the results needed for Galois theory as well as the Sylow theorems, the Jordan-Holder theorem, and a complete treatment of the simplicity of alternating groups. Chapter III (Field Theory) reviews linear algebra and introduces fields as a prelude to Galois theory. In addition there is a full discussion of the constructibility of regular polygons. Chapter IV (Galois Theory) gives a thorough treatment of this classical topic, including a detailed presentation of the solvability of equations in radicals that actually includes solutions of equations of degree 3 and 4 ― a feature omitted from all texts of the last 40 years. Chapter V (Ring Theory) contains basic information about rings and unique factorization to set the stage for classical ideal theory. Chapter VI (Classical Ideal Theory) ends with an elementary proof of the Fundamental Theorem of Algebraic Number Theory for the special case of Galois extensions of the rational field, a result which brings together all the major themes of the book.
The writing is clear and careful throughout, and includes many historical notes. Mathematical proof is emphasized. The text comprises 198 articles ranging in length from a paragraph to a page or two, pitched at a level that encourages careful reading. Most articles are accompanied by exercises, varying in level from the simple to the difficult.
Binding Type: Paperback
Publisher: Dover Publications
Published: 10/01/1984
ISBN: 9780486647258
Pages: 224
Weight: 0.60lbs
Size: 8.40h x 5.50w x 0.50d
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4.8 ★★★★★
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Product Reviews
★★★★★ 5
A Fantastic overview of the Halo universe in a beautiful format
Format: Hardcover, Format: Hardcover
Truly an excellent book. Goes over nearly everything with detail and beautiful images. Everything from Noble Team, to the races of the Covenant, weapons, ships, frigates, and much much more. This book is so full of information it makes my arm sore holding it while I read.
Highly recommend this for Halo Fans. As a fan who’s loved the series since Halo 2 in 2004, I would never hesitate to buy this book.
Darkhorse has published a winner here!
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Reviewed in the United States on December 1, 2024
★★★★★ 4
Very Nice but don’t expect perfect condition
Format: Hardcover
Very nice book and thick with super nice pictures, it was a Christmas gift. My son collects books, but it was damaged. It was inside of a very nice box but not enough filling . But the edges are all messed up. Not really worth collecting.
If you don’t care about the book being in very nice condition, this is a nice book.
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Reviewed in the United States on December 9, 2025
★★★★★ 5
Great buy for the price
Format: Hardcover
Larger than I expected for the price and a hardcover. My son was super excited and spent most of Christmas morning looking through it and spitting out facts to us.
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Reviewed in the United States on December 28, 2025
★★★★★ 5
Big Book
Format: Hardcover
It has everything you want to know. It's a big book. Solid.
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Reviewed in the United States on April 4, 2026
★★★★★ 5
Final Fantasy Ultimania Archive Review
Format: Hardcover
This is a quick review of the book from darkhorses latest production the Final Fantasy Ultimania Archive.
This book coves covers final fantasy 1-6 in various sections. The various sections for all the final fantasy games are listed as follows :
1. Art
2. Final Fantasy (Insert number here) Story
3. Characters
4. World
5. Monsters
6. Extra Content - goes into different sub catagories and varies from final fantasy to final fantasy.
7. Last section is - Final Fantasy (Insert number here) Memories.
I have to say I really like this book a lot, but then again It's a dark horse bool publication of course it's going to be good. The pages are THICKKK. When I thought they were glued together or something by accident but nope, these pages are just really that thick. The hardcover is nice, although best to keep it clean since it's mostly all white.
My favorite section is probably the character section. Not only does it list which character is conected to who in some way as well as the villians but also it shows Yoshitaka Amano complicated and beautiful artwork bellow each of the characters pixilated forms. It really gives you a perspective in how Amanos art work was translated into these sprites. Even though the section on art is nothing special seeing as I own "The Sky The Art Of Final Fantasy Slipcase Edition" which I recommend btw, It is still no less nice to see his work here too. I do think we get to see more of his monster desgins here though, but also the art covers for each variation of the game like from the Famicon to Android to PlayStation. It also shows the different logos that were in other platforms/handhelds or media devices. Really cool stuff here.
The story section is OK, doesn't really go indepth about it though. Nice but overall just an OK section.
The world section is pretty cool, showing the entire map of each game. The final fantasy 1 map is super basic, with some green here, dots of green for bushes, some yellow there, etc. Overall a neat little section.
The monster section does the same thing with the characters section in the sense that it shows you Yoshitaka Amano fantasic drawings along side the pixel forms they take in the games. Incredibly fascinating if I do say so myself.
The extra content section is were you see the technical side of what went to making into these games like the sprite data, the map, color list and so on and so forth. This section varies from final fantasy to final fantasy but it gets really technical about it, really cool.
The final section the memories section is just that, memories of the game with random images and quotes of the game.
Final Verdict - 10 out of 10 I did check in the back of the book for a final section called creators voices which are short interviews with the grand masters of the final fantasy series itself and how they feel about their work. Really nice. Overall this is a well done book by dark horse books, yet another fantastic release guys. I highly recommend buying this book regardless if your a collector or not.
My recommendations? Pre-order Volume 2 of The Final Fantasy Ultimania Archive, it comes out in december but still. As well as Pre-Order any of the upcomimg dark horse books, they are all really good regardless if you played the games or not.
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Reviewed in the United States on July 24, 2018