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Apr 13, 2017 at 12:19 history edited CommunityBot
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May 21, 2016 at 5:44 comment added rationalbeing @nfdc23 yes, you are right. Marcus writes in foreword "...Thus I have avoided local methods with no apparent disadvantages except possibly... Any awkwardness therein can be taken by the reader as motivation to learn about localization". Though the motivation for both Marcus's and Samuel's books is Fermat's Last Theorem, but both have adopted different ways. I will read first chapter from both books and then will try to build my opinion that which approach I am comfortable with. Thanks.
May 21, 2016 at 3:10 comment added nfdc23 @rationalbeing Marcus' book is very rich in instructive exercises, except for one big problem: his avoidance of the basic concept of localization (even just for integral domains) at a prime ideal or multiplicative set causes too many of his proofs and definitions to be very "global" in nature, preventing the possibility of instantly reducing certain tasks to the case of dvr's where various matters simplify tremendously. For this reason, I recommend to first study Pierre Samuel's book "Algebraic Theory of Numbers", solve many exercises there, and use Marcus' book for more practice.
May 20, 2016 at 15:09 comment added rationalbeing @GerryMyerson I meant to solve the exercises in the book.
May 20, 2016 at 12:42 comment added Zurab Silagadze Here books.google.ru/… this book is called "marvelous". Another, not so favorable review, is here: projecteuclid.org/euclid.bams/1183548007 I read some sections of the book many years ago as a amateur and liked it.
May 20, 2016 at 12:35 comment added Gerry Myerson How do you "solve" a book?
May 20, 2016 at 12:13 comment added rationalbeing I asked my guide about this book by Edwards a couple of months ago and he plainly rejected to comment and asked me to solve Marcus's book. Have you read this book by Prof. Edward? Can you give your personal opinion/review about this book?
May 20, 2016 at 11:59 history answered Zurab Silagadze CC BY-SA 3.0