Essays about Number Theory: From Classical Topics to New Problems - Hardcover

Rothe, Franz

 
9798369414361: Essays about Number Theory: From Classical Topics to New Problems
Hardcover
ISBN 13: 9798369414361
Publisher: Xlibris Us, 2024

Synopsis

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.

"synopsis" may belong to another edition of this title.

Publisher
Xlibris Us
Publication date
2024
Language
English
ISBN 13 
9798369414361
Binding
Hardcover
Number of pages
264