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The geometric construction of the regular 17, 257 and even the 65 537-gon are given in complete details, including programming codes. The theory of geometrical constructions and its connection to Galois theory is treated in detail. Later parts deal with totally positive real numbers as sums of squares, cyclotomic polynomials,
Chebychev polynomials, Gaussian periods, Galois theory, and more related topics. The solvability of equations is treated as far as it is related to geometric constructions, and tailored to prove the steps needed is that context, as simple as possible. Much less known is the relation between the lunes of Hippocrates and transcendental numbers to which the final section is dedicated.
Author: Franz Rothe
ISBN-10: 8224430626
ISBN-13: 9798224430628
Publisher: Franz Rothe
Language: English
Published: 01/26/2024
Pages: 450
Format: Paperback
Weight: 1.69lbs
Size: 9.25h x 7.50w x 0.91d
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