The Collected Papers of William Burnside: Commentary on Burnside's life and work ; Papers 1883-1899Oxford University Press, 2004 - 1584 pàgines 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. |
Continguts
VOLUME | 7 |
1895b | 9 |
1902g Theory of groups Encyclopaedia article 959 | 10 |
1914a | 12 |
Preface | 14 |
Acknowledgements | 32 |
A still unsettled question | 39 |
Burnside and finite simple groups | 45 |
1891d On functions determined from their discontinuities and a certain form of boundary condition | 217 |
1891e On a certain Riemanns surface | 231 |
1891f 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 |
Burnsides research on representation theory | 55 |
Burnsides applied mathematics | 63 |
Notes on Burnsides life | 89 |
The Papers 18831899 | 111 |
1883b | 117 |
1887a | 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 |
1890d Note on a paper relating to the theory of functions | 203 |
1891b Note on the addition theorem for hyperbolic functions | 209 |
1892f Note on pseudoelliptic integrals | 337 |
1892g On the division of the periods of elliptic functions by 9 | 345 |
1892h Note on the equation y² xx4 1 | 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 |
1894c On a class of groups defined by congruences | 431 |
1894d 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 |
Altres edicions - Mostra-ho tot
The Collected Papers of William Burnside: Commentary on Burnside's life and ... William Burnside Visualització de fragments - 2004 |
Frases i termes més freqüents
a₁ algebraical angles automorphic functions b₁ Burnside problem Burnside's Burnside's theorem Cambridge character theory circles coefficients College congruence conjugate sub-groups constant contains corresponding cosh curves cyclical sub-groups determined displacement elliptic functions elliptic integrals equation expressed factor finite group finite order follows Frobenius fundamental substitutions given group G group of finite group of linear group of order group theory groups of odd groups whose orders Hence hyperelliptic integral imaginary infinite number infinity inversions irreducible linear substitutions lines London Math Messenger Math normal subgroup odd order operations of order p²+p+1 pairs paper Pembroke permutation groups plane polygon prime Proc proof quantities representation result Riemann's surface self-conjugate solution spheres sub-group of order Sylow Sylow p-subgroup symbols theorem Theory of Groups transformation triangle triplets unchanged unity values variables William Burnside Y₁ zero