Introduction to the Galois Correspondence
| Author | : | |
| Rating | : | 4.95 (872 Votes) |
| Asin | : | 0817640266 |
| Format Type | : | paperback |
| Number of Pages | : | 244 Pages |
| Publish Date | : | 2013-10-01 |
| Language | : | English |
DESCRIPTION:
a bad bargain reader has anyone actually tried to read this book carefully?obviously, no editor ever did -- tpos (excuse me ) typosabound and run the gamut from computational errors(btw you know things are bad when your typos appear in boldface) all the way to conceptual infelicities thatwould bewilder any beginning student --how could these survive into a 2nd edition ?how could the 1st edition ever have gotten past theslush pile? the topics and presentation are entirelystandard and can be found in any of a number of bookswith similar titles --let's stop printing undese. and it is a good idea to get to the fundamental theorem of Galois I am using it to teach a student Galois Theory. I could not disagree more with some of the earlier reviews. It is carefully and clearly written. There is ample group theory here-one can find the Sylow theorems in an appendix if necessary, and it is a good idea to get to the fundamental theorem of Galois theory quickly. The chapter on applications is very solid, and one is drawn irresistibly to the appendix to fill out the material on Sylow theory and group actions. The material on unique factorization also makes more sense in hindsight. I am yet to . "Ok" according to Loopspace. Standard material, and honestly, there are better texts out there, even online. The proofs are clear, but my feeling is that the author could have picked up speed a bit faster without sacrificing neither depth nor clarity. Look somewhere else or check it out in your library before buying.
(2) Trisect an arbitrary angle. We may thus gain insight into the constructibility problems by studying intermediate fields of Rover Q. (4) Construct a regular polygon with n sides for n > 2. (3) Square an arbitrary circle; in particular, construct a square with area 1r. If we define a real number c to be constructible if, and only if, the point (c, 0) can be constructed starting with the points (0,0) and (1,0), then we may show that the set of constructible numbers is a subfield of the field R of real numbers containing the field Q of rational numbers. In chapter 4 we will show that (1) through (3) are not possible and we will determine
"It is the clearest this reviewer has ever seen Particularly remarkable is the author's avoidance of all temptations to give pretty proofs of neatly arranged theorems at the cost of clarity Highly recommended".--Gian-Carlo Rota