Quintics with Symmetries

Resolvents for Solvable Polynomials of Degree 5

Achim Plum (Autor)

Buch | Softcover

44 Seiten

2022 | 3. Auflage
BoD – Books on Demand (Verlag)
978-3-7557-1479-8 (ISBN)

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It has been known for a long time that there is no general analytical solution to determine zeros of quintics (polynomials of degree 5) by radical expressions. However, certain classes of quintic equations can be solved, including both reducible and irreducible cases.In this book, a wide range of reducible quintics is analysed which can be linked to symmetric settings of zeroes. Specifically, if there are two square roots, or if more than two zeroes of a quintic equation are located in a circular symmetric fashion - be it centrally around 0 or an arbitrary point in the field of complex numbers - this corresponds, with the exception of a 5th roots scenario, to a reducible quintic. Solutions are provided by derived equations of lower degree than 5 which are presented in this book. In addition, various examples for quintic equations that fulfil the respective conditions are shown in detail.

Achim Plum holds a degree (Diplom) from RWTH Aachen, Germany, in Computer Science with Mathematics as second discipline. For a long time, he had worked in different industries as a professional in Information Technology and Management; currently he works as a teacher. Beyond this, he stayed interested in mathematical topics and keeps studying further in Mathematics and related areas.

Erscheinungsdatum	12.11.2021
Sprache	englisch
Maße	210 x 297 mm
Gewicht	158 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Schlagworte	Equation • Gleichung • Nullstellen • Polynom • zeroes
ISBN-10	3-7557-1479-5 / 3755714795
ISBN-13	978-3-7557-1479-8 / 9783755714798
Zustand	Neuware