Erschienen: 27.10.2014 Abbildung von Khovanskii | Topological Galois Theory | 2014 | Solvability and Unsolvability ...

Khovanskii

Topological Galois Theory

Solvability and Unsolvability of Equations in Finite Terms

lieferbar ca. 10 Tage als Sonderdruck ohne Rückgaberecht

auch verfügbar als eBook (PDF) für 89.24 €

2014. Buch. xviii, 307 S. 6 s/w-Abbildungen, Bibliographien. Hardcover

Springer. ISBN 978-3-642-38870-5

Format (B x L): 15,5 x 23,5 cm

Gewicht: 654 g

In englischer Sprache

Das Werk ist Teil der Reihe: Springer Monographs in Mathematics

Produktbeschreibung

This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard–Vessiot theory, and Liouville's results on the class of functions representable by quadratures are also discussed. A unique feature of this book is that recent results are presented in the same elementary manner as classical Galois theory, which will make the book useful and interesting to readers with varied backgrounds in mathematics, from undergraduate students to researchers. In this English-language edition, extra material has been added (Appendixes A–D), the last two of which were written jointly with Yura Burda.

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