William Burnside was one of the three most important algebraists who were involved in the transformation of group theory from its nineteenth-century origins to a deep twentieth-century subject. Building on work of earlier mathematicians, they were able to develop sophisticated tools for solving difficult problems. All of Burnside's papers are reproduced here, organized chronologically and with a detailed bibliography. Walter Feit has contributed a foreword, and a collection of introductory essays are included to provide a commentary on Burnside's work and set it in perspective along with a modern biography that draws on archive material.
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Editorial Reviews
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We must congratulate the editors for accomplishing so well the task of masking the work of a distinguished mathematician available to a much wider audience. BSHM
About the Author
Peter M. Neumann is a Fellow of the Queen's College, Oxford. A.J.S. Mann is a Senior Lecturer, School of Computing and Mathematical Sciences, The Unversity of Greenwich.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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single conjugate set, gauche hexagon, limited original disturbance, cogredient isomorphisms, two substitution groups, linear homogeneous group, generating polygon, fundamental substitutions, permutable operations, simple group whose order, elliptic substitutions, infinitesimal operations, loxodromic substitution, operation whose order, independent linear functions, number whose orders, characteristic congruence, surfaces whose lines, cos operations, plane equipotential surfaces, irreducible congruence, resultant twist, finite equations, conjugate operations, cyclical group Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, Messenger Math, Herr Frobenius, New York, Royal Naval College, Philip Hall, Pembroke College, Cambridge University Press, Berliner Sitzungsberichte, Cambridge Review, Christ's Hospital, West Wickham, John's College, Society's Proceedings, Sophus Lie, Walter Feit, Clarendon Press, Fellow of the Royal Society, History of Mathematics, Nine Croft, University of Chicago, Acta Mathematica, Dover Publications, Herr Netto, Mathematical Tripos New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
single conjugate set, gauche hexagon, limited original disturbance, cogredient isomorphisms, two substitution groups, linear homogeneous group, generating polygon, fundamental substitutions, permutable operations, simple group whose order, elliptic substitutions, infinitesimal operations, loxodromic substitution, operation whose order, independent linear functions, number whose orders, characteristic congruence, surfaces whose lines, cos operations, plane equipotential surfaces, irreducible congruence, resultant twist, finite equations, conjugate operations, cyclical group Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, Messenger Math, Herr Frobenius, New York, Royal Naval College, Philip Hall, Pembroke College, Cambridge University Press, Berliner Sitzungsberichte, Cambridge Review, Christ's Hospital, West Wickham, John's College, Society's Proceedings, Sophus Lie, Walter Feit, Clarendon Press, Fellow of the Royal Society, History of Mathematics, Nine Croft, University of Chicago, Acta Mathematica, Dover Publications, Herr Netto, Mathematical Tripos New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
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This book cites 14
books:
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- Theory of Groups of Finite Order (Dover Books on Mathematics) by W. Burnside on 14 pages
- Theory of Groups by Marshall Jr. Hall on 6 pages
- Linear Groups with an Exposition of the Galois Field Theory by Leonard Eugene Dickson in Front Matter, page 21, and page 35
- Finite Groups (AMS Chelsea Publishing) by Daniel Gorenstein on page 35, page 45, and page 53
- Around Burnside (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 3 Folge) by A. I. Kostrikin on page 39, and page 43
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