The collected papers of William Burnside: 1 Commentary on Burnside's life and work; papers 1883 - 1899
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Beschreibung: | VIII, 788 S. Ill. |
ISBN: | 0198505868 |
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245 | 1 | 0 | |a The collected papers of William Burnside |n 1 |p Commentary on Burnside's life and work; papers 1883 - 1899 |c Wiliam Burnside. Ed. by Peter M. Neumann ... |
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adam_text | Titel: Bd. 1. The collected papers of William Burnside. Commentary on Burnside´s life and work; papers 188
Autor:
Jahr: 2004
CONTENTS
VOLUME 1
Preface v
Acknowledgements vii
List of contributors xv
Commentary on Burnside s Life and Work 1
Foreword 3
Water Feit
Bibliography of William Burnside 7
The context of Burnside s contributions to group theory 15
Peter M. Neumann
A still unsettled question 39
M. F. Newman
Burnside and finite simple groups 45
Ronald M. Solomon
Burnside s research on representation theory 55
Charles W. Curtis
Burnside s applied mathematics 63
June Barrow-Green
4 William Burnside , reprinted from the Journal of the London Mathematical Society, Vol. 3 (1928) 71
A. R. Forsyth
Notes on Burnside s life 89
Martin G. Everett, A. J. S. Mann and Kathy Young
The Papers 1883-1899 111
[ 1883a] The elliptic functions of | K, c 113
[1883b] Note on centre of pressure of a plane polygon 117
[ 1884a] On certain spherical harmonics 119
[1887a] On the trisection of the periods for Weierstrass s elliptic functions 125
[1887b] On the partition of energy between the translatory and rotational motions of a set of
non-homogeneous elastic spheres 129
[1888a] On a simplified proof of Maxwell s theorem 137
X
CONTENTSOFVOLUME 1
[1888b)
[1888c]
[1889a]
[1889b]
[1889c]
[1889d]
LI 889c[
[ 1890a]
[1890b]
[ 1890c]
[1890d]
[1891a]
[1891b]
[1891c]
[189 Id]
[1891c]
[ 1891 f]
[1891g]
[1891h]
[1891k]
[1892a|
[1892b]
[1892c]
[ 1892d]
[1892c]
[I892f|
[1892g]
[1892h]
[1893a]
[1893b]
[1893c]
[1893d]
[1893c]
[ 1893f]
[I893g]
[1893h]
[1894a]
[1894b]
[1894c]
[1894d]
[1894c]
[1894f]
[1894g]
[1894h]
[1895a]
Note on the potential of an elliptic cylinder
On deep-water waves resulting from a limited original disturbance
On the small wave-motions of a heterogeneous fluid under gravity
Mathematical notes 1: Geometrical interpretation of a condition of integrability
Mathematical notes 2: Propagation of energy in the electro-magnetic held
The lines of zero length on a surface as curvilinear coordinates
On the resultant of two finite displacements of a rigid body
On the differential equation of confocal sphero-conics
On the surfaces whose lines of curvature are all plane
On a property of plane isothermal curves
Note on a paper relating to the theory of functions
On a case of streaming motion
Note on the addition theorem for hyperbolic functions
On a property of linear substitutions
On functions determined from their discontinuities, and a certain form of boundary condition
On a certain Riemann s surface
On the form of closed curves of the third class
Algebraical notes. I: On the Jacobian of two quadratics. II: On a system of simultaneous
equations
Two notes on Weierstrass s P(u). 1: Forms of the addition equation. 2: On P(u) considered
as a covariant of a quartic
On a class of automorphic functions
On the form of hyperelliptic integrals of the first order, which are expressible as the sum
of two elliptic integrals
On the application of Abel s theorem to elliptic integrals of the first kind
On the linear transformation of the elliptic differential
Prof. Burnside s paper on the partition of energy, R.S.E., July 1887 *
Further note on automorphic functions
Note on pseudo-elliptic integrals
On the division of the periods of elliptic functions by 9
Note on the equation y2 = x(jc4 — 1)
On a problem of conformal representation
Note on linear substitutions
On the finite displacement of a rigid body
Note on functions of a real variable
Note on the theory of groups
On the curve of intersection of two quadrics
Notes on the theory of groups of finite order. I: On the proof of Sylow s Theorem. II: On the
possibility of simple groups whose orders are the products of four primes
On a property of certain determinants
On Green s function for a system of non-intersecting spheres
On an application of the theory of groups to Kirkman s problem
On a class of groups defined by congruences
On a system of linear congruences
On certain composite groups
On the kinematics of non-Euclidean space
Note on ternary substitutions of determinant unity with integral coefficients
On a class of groups defined by congruences (second paper)
Notes on the theory of groups of finite order (Notes III-VII)
141
147
163
169
171
173
179
185
189
197
203
207
209
213
217
231
239
241
245
249
289
303
311
319
321
337
345
353
357
377
381
385
389
397
401
411
415
423
431
459
467
483
507
511
561
CONTENTS OF VOLUME 2 XI
[ 1895b] Correction to a former paper [ 1893e] 587
[1895c] Notes on the theory of groups of finite order (continued) (Notes VIII, IX) 589
[1895d] On two theorems in elementary kinematics 603
[1896a] On doubly-transitive groups of degree n and order n(n — 1) 607
[1896b] On the isomorphism of a group with itself 615
[1896c] On doubly-transitive groups of degree 2m and order 2m(2m — 1) 629
[1896d] Note on the symmetric group 633
[ 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
[ 1898a2] 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
[ 1898e] The trigonometry of a rectangular gauche hexagon 735
[1898f] On the representation of a group of finite order as a substitution group 741
[1898g] On the canonical form of a linear substitution of finite order 743
[1898h] Correction to the paper on the representation of a group of finite order as a substitution
group[I898f] 747
[1898k] Appendix to The geodesic geometry of surfaces in non-Euclidean space by A.N. Whitehead 749
[1899a] On the reduction of a linear substitution to its canonical form 753
[1899b] Sketch of the late Prof. Sophus Lie s mathematical work 769
[ 1899c 1 ] Review of Introduction to the Theory of Analytic Functions by J. Harkness and F. Morley 773
[ 1899c2] Discussion on Theory of Functions (untitled letter) 779
[1899d] On a class of groups of finite order 781
VOLUME 2
The Papers 1900-1926 789
[1900a] On transitive groups of degree n and class n — 1 791
[1900b] On group-characteristics 799
[ 1900c 1 ] On some properties of groups of odd order 817
[1900c2] On some properties of groups of odd order (second paper) 841
[1900d] On cyclotomic trisection 853
[1901a] Note on the symmetric group 855
[ 1901 b] On the composition of group characteristics 861
[ 1901 c] On the general projective transformation 869
[ 1901 d] Two notes on the projective invariants of systems of points 873
[ 1901 e] On groups which contain 1 +2p or 1 + 4p subgroups of order pa 883
[ 1901 f] On the representation of a group of finite order as a permutation group, and on the
composition of permutation groups 889
[ 1901 g] On the lines of curvature of inverse surfaces 899
[190Ih] On the characteristic equations of certain linear substitutions 901
[1902a] On the roots of the Hessian of a binary quartic 907
[1902b] On groups in which every two conjugate operations are permutable 913
[1902c] On an unsettled question in the theory of discontinuous groups 923
[1902d] On soluble groups of linear substitutions 933
[1902e] On the four rotations which displace one orthogonal system of axes into another 937
[1902fJ On groups which are linear and homogeneous in both variables and parameters 943
xii CONTENTS OF VOLUME 2
[ 1902g]
[1903a]
[1903b]
11903c]
[1903d]
[I903e]
[I903f]
[1903g]
[1904a]
[1904b]
[1904c]
[1904d]
[1905a]
[1905b]
[1905c]
[1905d]
[1905c]
[1905f]
[1905g]
[1906a]
[1906b]
[1906c]
[1908a]
[1908b]
[1908c]
[1908d]
[1908e]
[1909a]
[1909b]
[1910a]
[1910b]
[1910c]
[191 Od ]
[ 191 Oe]
[1911b]
[191 lc]
[191 Id]
[191 le]
[1912a]
[1912b]
[1913a]
Theory of groups (Encyclopaedia article) . ...
On soluble irreducible groups of linear substitutions in a prime number of variables
On an arithmetical theorem connected with roots of unity, and its application to group
characteristics
On composite inversion and allied transformations
On the representation of a group of finite order as an irreducible group of linear substitutions
and the direct establishment of the relations between the group-characteristics
On reciprocal linear homogeneous groups
On groups which admit certain isomorphisms
On the coordinates of the eighth point common to a system of quadrics through seven given
points
On groups of order paqP
On linear substitutions of determinant unity with integral coefficients
On the reduction of a group of homogeneous linear substitutions of finite order
On groups of order paq (second paper)
On the complete reduction of any transitive permutation-group; and on the arithmetical nature
of the coefficients in its irreducible components
On the condition of reducibility of any group of linear substitutions
On criteria for the finiteness of the order of a group of linear substitutions
On finite groups in which all the Sylow subgroups are cyclical
On a genera] property of finite irreducible groups of linear substitutions
On the arithmetical nature of the coefficients in a group of linear substitutions of finite order
(second paper)
On the Hessian configuration and its connection with the group of 360 plane collineations
On the simple group of order 25920
On the figure consisting of a regular pentagon and the line at infinity
On simply transitive groups of prime degree
The alternating functions of three and of four variables
An approximate quadrature formula
On the theory of groups of finite order (Presidential address)
On the arithmetical nature of the coefficients in a group of linear substitutions (third paper)
Review of An Introduction to the Theory of Groups of Finite Order by H. Hilton
On a configuration of twenty-seven hyper-planes in four-dimensional space
On the group of the twenty-seven lines of a cubic surface
On the representation of a group of finite order as a group of linear substitutions
with rational coefficients
On double-sixes
On the coefficients in groups of linear substitutions of finite order
The most general metabelian group of finite order with two generators
Theory of groups (Encyclopaedia article)
The determination of all groups of rational linear substitutions of finite order which contain
the symmetric group in the variables
The condition that an irreducible group of linear substitutions on n variables of finite order
may contain a substitution with n - 1 unit multipliers
On the outer isomorphisms of a group
On the double-six which admits a group of 120 collineations into itself
On some properties of groups whose orders are powers of primes
On groups of linear substitutions of finite order which possess quadratic invariants
On some properties of groups whose orders
are powers of primes (second paper)
959
1039
1047
1053
1067
1075
1079
1083
1085
1091
1097
1117
1123
1137
1143
1149
1155
1161
1171
1189
1219
1223
1231
1233
1235
1243
1249
1251
1257
1263
1273
1277
1279
1283
1319
1345
1349
1353
1357
1379
1385
CONTENTS OF VOLUME 2 xiii
[1914a] On the rational solutions of the equation X3 + T3 4- 7? = 0 in quadratic fields 1393
[1914b] On the rational determination of a plane quartic from seven given bitangents 1397
[ 1914c] An elementary proof of a property of groups of finite order 1401
[1914d] On a configuration of 21 points and 21 lines which arises from the complete quadrilateral
and determines the group of 168 plane collineations 1407
[ 1914e] On the modification of a train of waves as it advances into shallow water 1413
[1914f] On cyclotomic quinquisection 1417
[1915a] On periodic irrotational waves at the surface of deep water 1427
[ 1915b] On the steady motion of fluid under gravity 1433
[ 1916a] Determinants of cyclically repeated arrays 1437
[1916b] On the efficiency of a surface of pressure discontinuity regarded as a propeller 1441
[1917a] A rapidly convergent series for log AM 1453
[1917b] An approximate expression for (m+n)r 1457
[1917c] An expression for the remainder in the expansion of a function in a series of positive
integral powers of the variables 1461
[1917d] On rational approximations to log* 1465
[1918a] On a plane configuration of points and lines connected with the group of 168 plane
collineations 1467
[1918b] On the probable regularity of a random distribution of points 1469
[ 1919a] On certain plane configurations of points and lines 1471
[ 1919b] A property of groups of even order 1475
[ 1919c] On a property of algebraic numbers 1477
[1920a] On cyclical octosection 1479
[1920b] On the representation of the simple group of order 660 as a group of linear substitutions
on 5 symbols 1487
[1921a] Convex solids in higher space 1491
[ 1921 b] On certain simply-transitive permutation-groups 1497
[1923a] On errors of observation 1501
[1923b] On rational approximations to cyclical cubic irrationalities 1507
[ 1923c] The solution of a certain partial difference equation 1511
[1923d] On a spherical configuration of eight points 1515
[ 1923e] On the formulae of one-dimensional kinematics 1519
[1923fJ On errors of observation 1525
[ 1924a] On an integral connected with the theory of probability 1527
[1924b] On a partial linear difference equation 1531
[1924c] On the polygons inscribed in one conic and circumscribed to another 1537
[ 1924d] The problems of random flight and conduction of heat 1541
[1925a] On the phrase equally probable 1543
[ 1925b] On the relation connecting the 10 distances between 5 points in space 1547
[ 1925c] On the approximate sum of selected terms from the multinomial expansion 1549
[1925d] On the idea of frequency 1553
[1925e] On the representation of the modular group of order p{p2 - 1) as a group of linear
substitutions on {p — 1) symbols, when p is a prime of the form An + 3 1555
[1925f] On groups of linear substitutions which contain irreducible metacyclical subgroups 1565
[1926a] On a group of 1440 birational transformations of four variables that arises in considering the
projective equivalence of double sixes 1571
[1926b] On the hypothetical infinite population of theoretical statistics 1577
[1926c] On a group of order 25920 and the projective transformations of a cubic surface 1583
|
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spelling | Burnside, William 1852-1927 Verfasser (DE-588)121890066 aut The collected papers of William Burnside 1 Commentary on Burnside's life and work; papers 1883 - 1899 Wiliam Burnside. Ed. by Peter M. Neumann ... Oxford Oxford Univ. Press 2004 VIII, 788 S. Ill. txt rdacontent n rdamedia nc rdacarrier Neumann, Peter M. edt (DE-604)BV024130887 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018282437&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Burnside, William 1852-1927 The collected papers of William Burnside |
title | The collected papers of William Burnside |
title_auth | The collected papers of William Burnside |
title_exact_search | The collected papers of William Burnside |
title_full | The collected papers of William Burnside 1 Commentary on Burnside's life and work; papers 1883 - 1899 Wiliam Burnside. Ed. by Peter M. Neumann ... |
title_fullStr | The collected papers of William Burnside 1 Commentary on Burnside's life and work; papers 1883 - 1899 Wiliam Burnside. Ed. by Peter M. Neumann ... |
title_full_unstemmed | The collected papers of William Burnside 1 Commentary on Burnside's life and work; papers 1883 - 1899 Wiliam Burnside. Ed. by Peter M. Neumann ... |
title_short | The collected papers of William Burnside |
title_sort | the collected papers of william burnside commentary on burnside s life and work papers 1883 1899 |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018282437&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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