Essays about Number Theory - Rothe, Franz
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For a regular 17-gon, the formulas above give the x-coordinate of the first vertex in the upper half plane. The first formula goes back to Gauss. The second formula is obtained by a more elementary method, see pages 39 to 47 in this book. This method uses only the trigonometric addition theorem and some clever guesses. It needed some optimism to create this book about number theory. The proofs are gapless and readable, and there are given some exercises with solutions and algorithms. Especially the geometric construction of the regular 17, 257 and even the 65 537-gon are treated in complete…mehr

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Produktbeschreibung
For a regular 17-gon, the formulas above give the x-coordinate of the first vertex in the upper half plane. The first formula goes back to Gauss. The second formula is obtained by a more elementary method, see pages 39 to 47 in this book. This method uses only the trigonometric addition theorem and some clever guesses. It needed some optimism to create this book about number theory. The proofs are gapless and readable, and there are given some exercises with solutions and algorithms. Especially the geometric construction of the regular 17, 257 and even the 65 537-gon are treated in complete and purely constructive details, including programming codes. Otherwise could be covered just an important classical selection.
Autorenporträt
Franz Rothe graduated from high school in Karlsruhe and has studied mathematics, physics and music there. He has received his doctoral degree in mathematics from the university of Tuebingen, Germany. He received his doctoral degree in mathematics from the university of Tuebingen, Germany. For thirty years, Franz Rothe has been professor at the University of North Carolina at Charlotte, and has published about 40 articles and a lecture notes in mathematics, and more recently further books on number theory, modern algebra, graph theory and geometry. Dr. Rothe is retired since several years, and is now emeritus professor. Meanwhile he has written books of general interest about music, literature, and his life, too.