Number Theory and Modern Algebra Notes - Rothe, Franz
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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…mehr

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Produktbeschreibung
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.
Autorenporträt
Franz Rothe graduated from high school in Karlsruhe and studied mathematics, physics and music there. Graduated with a diploma in mathematics from the E T H Z"urich, a doctorate in T"ubingen. He got his Habilitation and venia legendi from the university at T\"ubingen (1984)and the Ludwig Maximilian university of Munich (1988).He has published about 40 articles, and meanwhile three books about mathematics.Since 1990 a professorship at the University of North Carolina at Charlotte, USA.His is now retired because of health problems.In addition, Rothe and pianist Thomas Turner have developed a repertoire of classical music for flute and piano, and have recorded and released three CDs. This collection also contains several of their own transcriptions.Some recent information about activity during the years 2017-2021, in all fields, is gathered on the websitewww.franzrothe.com