Noncommutative Algebra

Noncommutative Algebra (Graduate Texts in Mathematics) 1993rd Edition Good Introduction to Central Simple Algebras ByAndrei Prokopiwon March 7, 2004 Format: Hardcover This is a very nice introduction to the theory of semisimple modules and rings, central simple algebras, and the Brauer group. It starts off with some review of basic concepts such as modules, tensor products, and field extensions – much of which is in the exercises. Indeed, a lot of the material is developed in the exercises so it is very useful to go…

A Book in Metric Spaces

Metric Spaces (Springer Undergraduate Mathematics Series) 2007th Edition by Mícheál O’Searcoid (Author) Review From the reviews: “This book is truly about metric spaces. … The book is packed full of material which does not often appear in comparable books. … His use of questions to increase understanding and to move on to the next topic are also to be appreciated. … this is a great book and suitable … for third-and fourth-year under-graduates and beginning graduate students.” (Marion Cohen, MathDL, January, 2007) “The book is very readable. It…

Advice from Karen E. Smith for graduate students in math

“Start where you are at, and don’t compare yourself to others. Work hard, get help, and stay on the path. Sometimes you will fail. That’s OK…Do lots of calculations and examples, be curious, be solid on the basics. Also, remember to take care of yourself… Find advice and mentoring from many different people at different places in their careers and even in different careers… soothe a lot of anxiety by helping others.” Read about her life path and math in Notices of the AMS August…

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