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Field and Galois Theory (Graduate Texts in Mathematics) (v. 167)
 
 
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Field and Galois Theory (Graduate Texts in Mathematics) (v. 167) [Hardcover]

Patrick Morandi (Author)
4.2 out of 5 stars  See all reviews (4 customer reviews)

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Book Description

July 25, 1996 0387947531 978-0387947532 1
The purpose of this book is twofold. First, it is written to be a textbook for a graduate level course on Galois theory or field theory. Second, it is designed to be a reference for researchers who need to know field theory. The book is written at the level of students who have familiarity with the basic concepts of group, ring, vector space theory, including the Sylow theorems, factorization in polynomial rings, and theorems about bases of vector spaces. This book has a large number of examples and exercises, a large number of topics covered, and complete proofs given for the stated results. To help readers grasp field.


Product Details

  • Hardcover: 297 pages
  • Publisher: Springer; 1 edition (July 25, 1996)
  • Language: English
  • ISBN-10: 0387947531
  • ISBN-13: 978-0387947532
  • Product Dimensions: 9.3 x 6.2 x 0.8 inches
  • Shipping Weight: 1.2 pounds (View shipping rates and policies)
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #1,383,443 in Books (See Top 100 in Books)

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Customer Reviews

4 Reviews
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Average Customer Review
4.2 out of 5 stars (4 customer reviews)
 
 
 
 
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8 of 8 people found the following review helpful:
4.0 out of 5 stars An excellent book for begginers, March 31, 2000
By 
Li Yu (La Jolla, USA) - See all my reviews
This review is from: Field and Galois Theory (Graduate Texts in Mathematics) (v. 167) (Hardcover)
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.
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8 of 9 people found the following review helpful:
5.0 out of 5 stars A good book, August 16, 2001
By 
A graduate student (Las Cruces, New Mexico United States) - See all my reviews
This review is from: Field and Galois Theory (Graduate Texts in Mathematics) (v. 167) (Hardcover)
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.
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5 of 6 people found the following review helpful:
3.0 out of 5 stars Good content, disastrous index., October 31, 2006
By 
O., S. Mr "eltonjohn" (Kawasaki, Kanagawa Japan) - See all my reviews
(REAL NAME)   
This review is from: Field and Galois Theory (Graduate Texts in Mathematics) (v. 167) (Hardcover)
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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Inside This Book (learn more)
First Sentence:
In this chapter, we develop the machinery of Galois theory. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
generated subextension, many intermediate fields, separating transcendence basis, quadratic closure, purely inseparable closure, rational root test, linearly disjoint, inseparable closures, natural irrationalities, linear disjointness, splitting field, profinite group, constructible numbers, primitive element theorem, primitive fourth root, primitive nth root, purely inseparable extension, rational function field, universal mapping property, inseparable degree, cyclic extension, cyclotomic extensions, transcendence bases, separable polynomials, nonzero prime ideal
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Abelian Galois
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