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Field and Galois Theory (Graduate Texts in Mathematics), by Patrick Morandi
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In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In the back of my mind, I thought it would be nice someday to write a book on field theory, one of my favorite mathematical subjects, and I wrote a crude form of lecture notes that semester. Those notes sat undisturbed for three years until late in 1993 when I finally made the decision to turn the notes into a book. The notes were greatly expanded and rewritten, and they were in a form sufficient to be used as the text for Math 581 when I taught it again in the fall of 1994. Part of my desire to write a textbook was due to the nonstandard format of our graduate algebra sequence. The first semester of our sequence is field theory. Our graduate students generally pick up group and ring theory in a senior-level course prior to taking field theory. Since we start with field theory, we would have to jump into the middle of most graduate algebra textbooks. This can make reading the text difficult by not knowing what the author did before the field theory chapters. Therefore, a book devoted to field theory is desirable for us as a text. While there are a number of field theory books around, most of these were less complete than I wanted.
- Sales Rank: #9569069 in Books
- Published on: 1996-01-01
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .69" w x 6.10" l, .94 pounds
- Binding: Paperback
- 284 pages
Most helpful customer reviews
11 of 11 people found the following review helpful.
An excellent book for begginers
By Li Yu
This book provides a lot of examples to demonstrate the theorems in the book. So you can understand the theorems without much difficulty. Besides, the author gave many details of the proofs in this book. Although it may hurt the concisity of the book, for the begginers, it is very useful.
11 of 12 people found the following review helpful.
A good book
By A graduate student
This is a nice book that introduce the reader in a nicely way to Galois and Field theory. This book not only concentrate in the classic topics but also covers so much about areas not covered in other books. For example the topics of normality and separibility and pure separability are very well covered and the concepts of infinite extensions; among many others. This books also contains a nice feature and is tons of examples and exercises. Definitely a very good book. I took the course of Galois Theory with this text and I learned a lot.
10 of 11 people found the following review helpful.
Good content, disastrous index.
By O., S.
Since other reviewers have not mentioned about the index of the book, I would like to add this: do not use this book if you are among the people who make an extensive use of index. The indes of this book is in the state of frustrating chaos, being disastrously flawed hence completely unusable. I suspect the proofreader was sleeping when reading the draft. As the content covers many topics in a leisurely, detailed and easy-to-read fashion, I really regret that the quality of the index terribly mars the real value of this book.
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