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Essays about Number Theory: From Classical Topics to New Problems

Essays about Number Theory: From Classical Topics to New Problems

Hardcover

General Mathematics

Publisher Price: $37.99

ISBN13: 9798369414361
Publisher: Xlibris Us
Published: Jan 3 2024
Pages: 264
Weight: 1.20
Height: 0.75 Width: 6.00 Depth: 9.00
Language: English
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.

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General Mathematics