A Course in Group Theory (Oxford Science Publications)
| Author | : | |
| Rating | : | 4.80 (569 Votes) |
| Asin | : | 0198534590 |
| Format Type | : | paperback |
| Number of Pages | : | 296 Pages |
| Publish Date | : | 2017-04-13 |
| Language | : | English |
DESCRIPTION:
. John Humphreys is at University of Liverpool
"Distinctive, careful, leisurely, self-contained is oddly slender 25-chapter volume is ideal both for independent study and as a resource for upper-division undergraduates, novice graduate students, or faculty."--Choice"This text is quite readable and does a good job." --Mathematical Reviews
"nice" according to mahbub @ Dhaka. this is a concise and fairly comprehensive book on finite groups.it is very, very nice. in about 200 pages, it gives you all of the basics. a bright high school student can read it.books like these are so much better than annoying books like Artin, or Lang which are like 700 pages and are basically a brain dump of the author onto the student.if you want to learn group theory by yourself and have a patience, read this book, then the book by James and Liebeck. then to learn Lie algebras/groups, use a book like Erdmann or Kirillov or this very short new book by Yvette Kosmann-Schwarzbach. for lots of examples look at Fulton & Harris.. Worthwhile and generally successful This book has a massive brief: to work up to concepts which allow the author to describe the finite simple groups. By and large it succeeds.It is only recently (a few decades ago: in mathematics that is an eyeblink) that the finite simple groups were finally classified. To those of a certain cast of interest this is mindblowingly exciting - but the mathematics behind it is challenging.This book does a fair job of working up to speed on the various concepts, and provides the reader with plentiful illustrative examples throughout the text as he goes. Classification is one of the main objects of the exercise (as is so much of group theory), an. Bob Neveln said A Gentle but Inclusive Introduction. The book covers all the elements of group theory,with a great deal of care. Each concept introducedis supported with at least some examples, difficultconcepts with many. The book is rigorous withoutbeing pedantic. The last chapter, which I could notresist skipping to, contains a survey of the descriptionof finite groups with some historical notes and indicationsof where the reader might go next. I am looking forother books by the same author. It is obfious fromthis book that the author is an excellent teacher.
Subsequent chapters deal with finite abelian groups, the Jordan-Holder theorem, soluble groups, p-groups, and group extensions. Emphasizing classification themes throughout, the book gives a clear and comprehensive introduction to groups and covers all topics likely to be encountered in an undergraduate course. This introduction to group theory is also an attempt to make this important work better known. The classification of the finite simple groups is one of the major intellectual achievements of this century, but it remains almost completely unknown outside of the mathematics community. Intr