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Essays about Modern Algebra

Om Essays about Modern Algebra

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.

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  • Språk:
  • Engelsk
  • ISBN:
  • 9798224430628
  • Bindende:
  • Paperback
  • Sider:
  • 450
  • Utgitt:
  • 26. januar 2024
  • Dimensjoner:
  • 191x25x235 mm.
  • Vekt:
  • 834 g.
  Gratis frakt
Leveringstid: 2-4 uker
Forventet levering: 20. januar 2025
Utvidet returrett til 31. januar 2025
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Beskrivelse av Essays about Modern Algebra

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.

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