Number Theory and Modern Algebra Notes

This Book Has Been Growing Over The Years Out Of Several Resources. Firstly The Courses In Number Theory And Modern Algebra I Had Occasionally Been Teaching At Unc Charlotte. Secondly My Interest To Invent Mathematical Problems For Competitions And Invent And Pose Problems For Individual Work With Gifted Students. After Being Forced To Retire About Two Years Ago Because Of Health Reasons I Did Continue To Occupy Myself With These Topics And I Learned More Substantially From The Work Of Gauss On Quadratic Reciprocity And On The Construction Of Fermat Polygons. Too I Did Take Up Numerical Computation With The Computer Language Of Dr. Racket Which Is Based On Lisp And Freely Available On The Internet.