Couverture : Beyond the Quartic Equation

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Beyond the Quartic Equation

Robert Bruce King

Résumé

The objective of this book is to present for the first time the complete algorithm for roots of the general quintic equation with enough background information to make the key ideas accessible to non-specialists and even to mathematically oriented readers who are not professional mathematicians. The book includes an initial introductory chapter on group theory and symmetry, Galois theory and Tschirnhausen transformations, and some elementary properties of elliptic function in order to make some of the key ideas more accessible to less sophisticated readers. The book also includes a discussion of the much simpler algorithms for roots of the general quadratic, cubic, and quartic equations before discussing the algorithm for the roots of the general quintic equation. A brief discussion of algorithms for roots of general equations of degrees higher than five is also included. "If you want something truly unusual, try [this book] by R. Bruce King, which revives some fascinating, long-lost ideas relating elliptic functions to polynomial equations." --New Scientist.

Détails de l'édition

ISBN-13
9780817637767
ISBN-10
0817637761
EAN
9780817637767
Éditeur
Birkhäuser (Boston)
Date de publication
1 janvier 1996
Langue
en
Pages
162
Dimensions
24 cm
Provenance des données
  • dimensions BnF Catalogue général · 23 juillet 2026
  • language Google Books · 1 août 2026
  • page_count Google Books · 1 août 2026
  • publication_date BnF Catalogue général · 23 juillet 2026
  • summary Google Books · 1 août 2026
  • title Google Books · 1 août 2026