Essays about Modern Algebra
Rothe, Franz
Sold by GreatBookPrices, Columbia, MD, U.S.A.
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Add to basketSold by GreatBookPrices, Columbia, MD, U.S.A.
AbeBooks Seller since April 6, 2009
Condition: New
Quantity: Over 20 available
Add to basketThe 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.
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