The Collected Papers of William Burnside: Commentary on Burnside's life and work ; Papers 1883-1899

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Oxford University Press, 2004 - Burnside problem - 1584 pages
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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Contents

Bibliography of William Burnside
7
1902g Theory of groups Encyclopaedia article 959
10
1914a On the rational solutions of the equation X3 + y3 + Z3 0 in quadratic fields 1393
12
The context of Burnsides contributions to group theory
17
A still unsettled question
39
Burnside and finite simple groups
45
Burnsides research on representation theory
55
Burnsides applied mathematics
63
1892f Note on pseudoelliptic integrals
337
1892g On the division of the periods of elliptic functions by 9
345
1892h Note on the equation v2 x x4
353
1893b Note on linear substitutions
377
1893d Note on functions of a real variable
385
1893f On the curve of intersection of two quadrics
397
1893h On a property of certain determinants
411
1894b On an application of the theory of groups to Kirkmans problem
423

William Burnside reprinted from the Journal of the London Mathematical Society Vol 3 1928
71
Notes on Burnsides life
89
The Papers 18831899
111
1883b Note on centre of pressure of a plane polygon
117
1887a On the trisection of the periods for Weierstrasss elliptic functions
125
1888b Note on the potential of an elliptic cylinder
141
1888c On deepwater waves resulting from a limited original disturbance
147
1889a On the small wavemotions of a heterogeneous fluid under gravity
163
Geometrical interpretation of a condition of integrability
169
1889e On the resultant of two finite displacements of a rigid body
179
1890a On the differential equation of confocal spheroconics
185
1890c On a property of plane isothermal curves
197
11890d Note on a paper relating to the theory of functions
203
b Note on the addition theorem for hyperbolic functions
209
1891d On functions determined from their discontinuities and a certain form of boundary condition
217
1891e On a certain Riemanns surface
231
f On the form of closed curves of the third class
239
Forms of the addition equation 2 On Pu considered
245
1892a On the form of hyperelliptic integrals of the first order which are expressible as the
289
1892b On the application of Abels theorem to elliptic integrals of the first kind
303
1892c On the linear transformation of the elliptic differential
311
1892d Prof Burnsides paper on the partition of energy R S E July 1887
319
1894c On a class of groups defined by congruences
431
11894d On a system of linear congruences
459
1894e On certain composite groups
467
1894f On the kinematics of nonEuclidean space
483
1894g Note on ternary substitutions of determinant unity with integral coefficients
507
1895a Notes on the theory of groups of finite order Notes IIIVII
561
1895b Correction to a former paper 1893e
587
1895d On two theorems in elementary kinematics
603
1896b On the isomorphism of a group with itself
615
1896c On doublytransitive groups of degree 2m and order 2m 2m 1
629
1897b The construction of the straight line joining two given points
645
1898al On the continuous group that is defined by any given group of finite order
653
1898a2J On the continuous group that is defined by any given group of finite order second paper
671
1898b On plane equipotential surfaces
693
1898c On linear homogeneous continuous groups whose operations are permutable
703
1898d Note on the simple group of order 504
731
1898f On the representation of a group of finite order as a substitution group
741
1898h Correction to the paper on the representation of a group of finite order as a substitution
747
1899a On the reduction of a linear substitution to its canonical form
753
11899b Sketch of the late Prof Sophus Lies mathematical work
769
1899c2 Discussion on Theory of Functions untitled letter
779
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