# zbMATH — the first resource for mathematics

## Burnside, William

Compute Distance To:
 Author ID: burnside.william Published as: Burnside; Burnside, W.; Burnside, William External Links: MGP · Wikidata · GND · MacTutor
 Documents Indexed: 182 Publications since 1868, including 9 Books Biographic References: 7 Publications

#### Co-Authors

 179 single-authored 1 Burbury, Samuel Hawksley 1 Sircom, S. 1 Walker, John James
all top 5

#### Serials

 30 Proceedings of the London Mathematical Society 27 Proceedings of the London Mathematical Society. Second Series 20 Proceedings of the Cambridge Philosophical Society 8 The Quarterly Journal of Pure and Applied Mathematics 3 Acta Mathematica 2 Nature, London 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematische Annalen 1 Proceedings of the Royal Society of Edinburgh 1 Transactions of the Royal Society of Edinburgh 1 Proceedings of the Royal Society of London. Series A
all top 5

#### Fields

 17 Group theory and generalizations (20-XX) 6 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 3 History and biography (01-XX) 3 Geometry (51-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH Open

77 Publications have been cited 1,116 times in 993 Documents Cited by Year
Theory of groups of finite order. 2nd edition. JFM 42.0151.02
Burnside, W.
1911
Theory of groups of finite order. 2nd ed. Zbl 0064.25105
Burnside, W.
1955
Theory of groups of finite order. JFM 28.0118.03
Burnside, W.
1897
On an unsettled question in the theory of discontinuous groups. JFM 33.0149.01
Burnside, W.
1902
Solution of the question 2732. JFM 01.0191.01
Burnside
1868
A rapidly convergent series for $$\log N!$$. JFM 46.0340.02
Burnside, W.
1917
On a class of automorphic functions. (2 Noten). JFM 24.0391.01
Burnside, W.
1892
On some properties of groups whose orders are powers of primes. JFM 43.0198.02
Burnside, W.
1912
On the outer isomorphisms of a group. JFM 43.0198.03
Burnside, W.
1912
On the condition of reducibility of any group of linear substitutions. JFM 36.0199.01
Burnside, W.
1905
On groups of order $$p^{\alpha} q^{\beta}$$. JFM 35.0162.01
Burnside, W.
1904
On some properties of groups of odd order. JFM 32.0139.01
Burnside, W.
1901
On criteria for the finiteness of the order of a group of linear substitutions. JFM 36.0199.02
Burnside, W.
1905
The determination of all groups of rational linear substitutions of finite order which contain the symmetric group in the variables. JFM 42.0156.02
Burnside, W.
1911
On groups of order $$p^\alpha q^\beta$$ (second paper). JFM 36.0198.02
Burnside, W.
1905
On functions determined from their discontinuities, and a certain form of boundary condition. JFM 23.0420.01
Burnside, W.
1891
On some properties of groups whose orders are powers of primes. II. JFM 44.0164.02
Burnside, W.
1913
On groups in which every two conjugate operations are permutable. JFM 34.0154.01
Burnside, W.
1903
Notes on the theory of groups of finite order. JFM 26.0170.01
Burnside, W.
1895
On the theory of groups of finite order. JFM 40.0183.02
Burnside, W.
1909
On an arithmetical theorem connected with roots of unity, and its application to group-characteristics. JFM 34.0155.02
Burnside, W.
1903
Theory of groups of finite order. 2nd edition. Reprint of the 1911 edition. Zbl 1375.20001
Burnside, William
2017
On the continuous group that is defined by any given group of finite order. JFM 29.0103.03
Burnside, W.
1898
Solution of the question 2630. JFM 01.0176.03
Burnside
1868
Theory of probability. With a preface and memoir on Burnside by A. R. Forsyth. JFM 54.0541.01
Burnside, W.
1928
On certain simply-transitive permutation-groups. JFM 48.1148.02
Burnside, W.
1921
On simply transitive groups of prime degree. JFM 37.0172.01
Burnside, W.
1905
On the representation of a group of finite order as a permutation group, and on the composition of permutation groups. JFM 33.0147.01
Burnside, W.
1902
Note on the symmetric group. JFM 28.0132.02
Burnside, W.
1897
On a class of groups defined by congruences. JFM 25.0203.02
Burnside, W.
1894
On errors of observation. JFM 49.0371.02
Burnside, W.
1923
On cyclotomic quinquisection. JFM 45.1252.01
Burnside, W.
1914
On the rational solutions of the equation $$x^3+y^3+z^3=0$$ in quadratic fields. JFM 45.1251.05
Burnside, W.
1914
On the modification of a train of waves as it advances into shallow water. JFM 45.1105.07
Burnside, W.
1914
On groups of linear substitutions of finite order which possess quadratic invariants. JFM 43.0203.02
Burnside, W.
1913
The alternating functions of three and of four variables. JFM 39.0224.01
Burnside, W.
1907
Note on the simple group of order 504. JFM 30.0143.02
Burnside, W.
1899
On a class of groups defined by congruences. II. JFM 26.0171.01
Burnside, W.
1895
Notes on the theory of groups of finite order. JFM 25.0203.01
Burnside, W.
1894
On a problem of conformal representation. JFM 25.1308.01
Burnside, W.
1893
On the partition of energy between the translatory and rotational motions of a set of nonhomogeneous elastic spheres. JFM 19.1181.02
Burnside
1887
On the trisection of the periods for Weierstrass’s elliptic functions. JFM 19.0469.02
Burnside, W.
1886
The collected papers of William Burnside. Vol. 1: Commentary on Burnside’s life and work; papers 1883–1899. Vol. 2: 1900-1926. Edited by Peter M. Neumann, A. J. S. Mann and Julia C. Tompson. Zbl 1060.20001
Burnside, William
2004
Theory of probability. Zbl 0088.10401
Burnside, William
1959
On a group of order 25$$\,$$920 and the projective transformations of a cubic surface. JFM 53.0632.01
Burnside, W.
1927
On the phrase “equally probable”. JFM 51.0400.04
Burnside, W.
1925
On the idea of frequency. JFM 51.0382.05
Burnside, W.
1925
On the approximate sum of selected terms from multinomial expansion. JFM 51.0079.10
Burnside, W.
1925
The problems of random flight and conduction of heat. JFM 50.0520.04
Burnside, W.
1924
On errors of observation. JFM 50.0347.01
Burnside, W.
1924
On a partial linear difference equation. JFM 50.0316.03
Burnside, W.
1924
On an integral connected with the theory of probability. JFM 50.0174.02
Burnside, W.
1924
The solution of a certain partial difference equation. JFM 49.0327.01
Burnside, W.
1923
On the representation of the simple group of order 660 as a group of linear substitutions on 5 symbols. JFM 48.1148.01
Burnside, W.
1921
On periodic irrotational waves at the surface of deep water. JFM 47.0755.02
Burnside, W.
1916
On the steady motion of fluid under gravity. JFM 45.1393.02
Burnside, W.
1915
On groups of linear substitutions of finite order which possess quadratic invariants. JFM 44.0147.02
Burnside, W.
1913
On double-sixes. JFM 41.0548.01
Burnside, W.
1910
On a configuration of twenty-seven hyperplanes in fourdimensional spaces. JFM 40.0709.04
Burnside, W.
1909
On the arithmetical nature of the coefficients in a group of linear substitutions. JFM 40.0184.01
Burnside, W.
1909
On the complete reduction of any transitive permutation-group; and on the arithmetical nature of the coefficients in its irreducible components. JFM 36.0198.03
Burnside, W.
1905
On finite groups on which all the Sylow groups are cyclical. JFM 36.0197.03
Burnside, W.
1905
On the reductions of a group of homogeneous linear substitutions of finite order. JFM 35.0161.02
Burnside, W.
1904
On groups which admit certain isomorphisms. JFM 34.0160.01
Burnside, W.
1903
On soluble irreducible groups of linear substitutions in a prime number of variables. JFM 34.0158.01
Burnside, W.
1903
On some properties of groups of odd order. (Second paper.). JFM 32.0139.02
Burnside, W.
1901
On group characteristics. JFM 32.0138.02
Burnside, W.
1901
On the canonical form of a linear substitution of finite order. JFM 29.0115.01
Burnside, W.
1898
On the representation of a group of finite order as a substitution group. JFM 29.0111.03
Burnside, W.
1898
On linear homogeneous continuous groups whose operations are permutable. JFM 29.0105.01
Burnside, W.
1898
On the kinematics of non-Euclidean space. JFM 26.0535.01
Burnside, W.
1895
On certain composite groups. JFM 25.0204.01
Burnside, W.
1894
Note on the equation $$y^2=x(x^4-1)$$. JFM 25.0795.03
Burnside, W.
1893
Note on the theory of groups. JFM 25.0204.02
Burnside, W.
1893
Further note on automorphic functions. Zbl 1371.30038
Burnside, W.
1892
On deep-water waves resulting from a limited original disturbance. JFM 21.0968.01
Burnside, W.
1889
On a simplified proof of Maxwell’s theorem. JFM 20.1218.04
Burnside, W.
1888
Theory of groups of finite order. 2nd edition. Reprint of the 1911 edition. Zbl 1375.20001
Burnside, William
2017
The collected papers of William Burnside. Vol. 1: Commentary on Burnside’s life and work; papers 1883–1899. Vol. 2: 1900-1926. Edited by Peter M. Neumann, A. J. S. Mann and Julia C. Tompson. Zbl 1060.20001
Burnside, William
2004
Theory of probability. Zbl 0088.10401
Burnside, William
1959
Theory of groups of finite order. 2nd ed. Zbl 0064.25105
Burnside, W.
1955
Theory of probability. With a preface and memoir on Burnside by A. R. Forsyth. JFM 54.0541.01
Burnside, W.
1928
On a group of order 25$$\,$$920 and the projective transformations of a cubic surface. JFM 53.0632.01
Burnside, W.
1927
On the phrase “equally probable”. JFM 51.0400.04
Burnside, W.
1925
On the idea of frequency. JFM 51.0382.05
Burnside, W.
1925
On the approximate sum of selected terms from multinomial expansion. JFM 51.0079.10
Burnside, W.
1925
The problems of random flight and conduction of heat. JFM 50.0520.04
Burnside, W.
1924
On errors of observation. JFM 50.0347.01
Burnside, W.
1924
On a partial linear difference equation. JFM 50.0316.03
Burnside, W.
1924
On an integral connected with the theory of probability. JFM 50.0174.02
Burnside, W.
1924
On errors of observation. JFM 49.0371.02
Burnside, W.
1923
The solution of a certain partial difference equation. JFM 49.0327.01
Burnside, W.
1923
On certain simply-transitive permutation-groups. JFM 48.1148.02
Burnside, W.
1921
On the representation of the simple group of order 660 as a group of linear substitutions on 5 symbols. JFM 48.1148.01
Burnside, W.
1921
A rapidly convergent series for $$\log N!$$. JFM 46.0340.02
Burnside, W.
1917
On periodic irrotational waves at the surface of deep water. JFM 47.0755.02
Burnside, W.
1916
On the steady motion of fluid under gravity. JFM 45.1393.02
Burnside, W.
1915
On cyclotomic quinquisection. JFM 45.1252.01
Burnside, W.
1914
On the rational solutions of the equation $$x^3+y^3+z^3=0$$ in quadratic fields. JFM 45.1251.05
Burnside, W.
1914
On the modification of a train of waves as it advances into shallow water. JFM 45.1105.07
Burnside, W.
1914
On some properties of groups whose orders are powers of primes. II. JFM 44.0164.02
Burnside, W.
1913
On groups of linear substitutions of finite order which possess quadratic invariants. JFM 43.0203.02
Burnside, W.
1913
On groups of linear substitutions of finite order which possess quadratic invariants. JFM 44.0147.02
Burnside, W.
1913
On some properties of groups whose orders are powers of primes. JFM 43.0198.02
Burnside, W.
1912
On the outer isomorphisms of a group. JFM 43.0198.03
Burnside, W.
1912
Theory of groups of finite order. 2nd edition. JFM 42.0151.02
Burnside, W.
1911
The determination of all groups of rational linear substitutions of finite order which contain the symmetric group in the variables. JFM 42.0156.02
Burnside, W.
1911
On double-sixes. JFM 41.0548.01
Burnside, W.
1910
On the theory of groups of finite order. JFM 40.0183.02
Burnside, W.
1909
On a configuration of twenty-seven hyperplanes in fourdimensional spaces. JFM 40.0709.04
Burnside, W.
1909
On the arithmetical nature of the coefficients in a group of linear substitutions. JFM 40.0184.01
Burnside, W.
1909
The alternating functions of three and of four variables. JFM 39.0224.01
Burnside, W.
1907
On the condition of reducibility of any group of linear substitutions. JFM 36.0199.01
Burnside, W.
1905
On criteria for the finiteness of the order of a group of linear substitutions. JFM 36.0199.02
Burnside, W.
1905
On groups of order $$p^\alpha q^\beta$$ (second paper). JFM 36.0198.02
Burnside, W.
1905
On simply transitive groups of prime degree. JFM 37.0172.01
Burnside, W.
1905
On the complete reduction of any transitive permutation-group; and on the arithmetical nature of the coefficients in its irreducible components. JFM 36.0198.03
Burnside, W.
1905
On finite groups on which all the Sylow groups are cyclical. JFM 36.0197.03
Burnside, W.
1905
On groups of order $$p^{\alpha} q^{\beta}$$. JFM 35.0162.01
Burnside, W.
1904
On the reductions of a group of homogeneous linear substitutions of finite order. JFM 35.0161.02
Burnside, W.
1904
On groups in which every two conjugate operations are permutable. JFM 34.0154.01
Burnside, W.
1903
On an arithmetical theorem connected with roots of unity, and its application to group-characteristics. JFM 34.0155.02
Burnside, W.
1903
On groups which admit certain isomorphisms. JFM 34.0160.01
Burnside, W.
1903
On soluble irreducible groups of linear substitutions in a prime number of variables. JFM 34.0158.01
Burnside, W.
1903
On an unsettled question in the theory of discontinuous groups. JFM 33.0149.01
Burnside, W.
1902
On the representation of a group of finite order as a permutation group, and on the composition of permutation groups. JFM 33.0147.01
Burnside, W.
1902
On some properties of groups of odd order. JFM 32.0139.01
Burnside, W.
1901
On some properties of groups of odd order. (Second paper.). JFM 32.0139.02
Burnside, W.
1901
On group characteristics. JFM 32.0138.02
Burnside, W.
1901
Note on the simple group of order 504. JFM 30.0143.02
Burnside, W.
1899
On the continuous group that is defined by any given group of finite order. JFM 29.0103.03
Burnside, W.
1898
On the canonical form of a linear substitution of finite order. JFM 29.0115.01
Burnside, W.
1898
On the representation of a group of finite order as a substitution group. JFM 29.0111.03
Burnside, W.
1898
On linear homogeneous continuous groups whose operations are permutable. JFM 29.0105.01
Burnside, W.
1898
Theory of groups of finite order. JFM 28.0118.03
Burnside, W.
1897
Note on the symmetric group. JFM 28.0132.02
Burnside, W.
1897
Notes on the theory of groups of finite order. JFM 26.0170.01
Burnside, W.
1895
On a class of groups defined by congruences. II. JFM 26.0171.01
Burnside, W.
1895
On the kinematics of non-Euclidean space. JFM 26.0535.01
Burnside, W.
1895
On a class of groups defined by congruences. JFM 25.0203.02
Burnside, W.
1894
Notes on the theory of groups of finite order. JFM 25.0203.01
Burnside, W.
1894
On certain composite groups. JFM 25.0204.01
Burnside, W.
1894
On a problem of conformal representation. JFM 25.1308.01
Burnside, W.
1893
Note on the equation $$y^2=x(x^4-1)$$. JFM 25.0795.03
Burnside, W.
1893
Note on the theory of groups. JFM 25.0204.02
Burnside, W.
1893
On a class of automorphic functions. (2 Noten). JFM 24.0391.01
Burnside, W.
1892
Further note on automorphic functions. Zbl 1371.30038
Burnside, W.
1892
On functions determined from their discontinuities, and a certain form of boundary condition. JFM 23.0420.01
Burnside, W.
1891
On deep-water waves resulting from a limited original disturbance. JFM 21.0968.01
Burnside, W.
1889
On a simplified proof of Maxwell’s theorem. JFM 20.1218.04
Burnside, W.
1888
On the partition of energy between the translatory and rotational motions of a set of nonhomogeneous elastic spheres. JFM 19.1181.02
Burnside
1887
On the trisection of the periods for Weierstrass’s elliptic functions. JFM 19.0469.02
Burnside, W.
1886
Solution of the question 2732. JFM 01.0191.01
Burnside
1868
Solution of the question 2630. JFM 01.0176.03
Burnside
1868
all top 5

#### Cited by 1,079 Authors

 11 Kantor, William M. 11 Praeger, Cheryl Elisabeth 10 Cameron, Peter Jephson 10 Mortici, Cristinel 10 White, Dennis E. 9 Lu, Dawei 8 Chen, Chaoping 8 Guralnick, Robert Michael 8 May, Coy L. 8 Vera-López, Antonio 8 Yang, Zhenhang 7 Huppert, Bertram 7 Jones, Gareth A. 6 Nedela, Roman 6 Qu, Haipeng 6 Radjavi, Heydar 6 Suzuki, Michio 6 Traustason, Gunnar 6 Yadav, Manoj Kumar 5 Arad, Zvi 5 Brauer, Richard 5 Dobson, Edward 5 Lytkina, Dar’ya Viktorovna 5 Mazurov, Viktor Danilovich 5 Solomon, Louis 5 Takegahara, Yugen 5 Tian, Jingfeng 5 Yahaghi, Bamdad R. 5 Zimmerman, Jay J. 4 Chan, Gin Hor 4 Cofman, Judita 4 Coxeter, Harold Scott MacDonald 4 Crowdy, Darren Gregory 4 Dixon, John D. 4 Došen, Kosta 4 Fisman, Elsa 4 Formanek, Edward W. 4 Gallagher, Patrick X. 4 Hering, Christoph H. 4 Hidalgo, Rubén Antonio 4 Janusz, Gerald J. 4 Li, Caiheng 4 Lüneburg, Heinz 4 Ma, Congxu 4 Merris, Russell 4 Ol’shanskiĭ, Aleksandr Yur’evich 4 Rajkumar, Ragunathan 4 Stanley, Richard Peter 4 Szechtman, Fernando 4 Wielandt, Helmut 3 Ashrafi, Ali Reza 3 Baer, Reinhold 3 Bartholdi, Laurent 3 Berkovich, Yakov G. 3 Blass, Andreas Raphael 3 Bobenko, Alexander Ivanovich 3 Breda d’Azevedo, Antonio J. 3 Brown, Kenneth Stephen 3 Buekenhout, Francis 3 DeLillo, Thomas K. 3 Feit, Walter 3 Fernández-Alcober, Gustavo A. 3 Fuller, A. Thomas 3 Gumber, Deepak Kumar 3 Ito, Noboru 3 Ivanov, Sergei Vladimirovich 3 Jabara, Enrico 3 Kashina, Yevgenia 3 Kassabov, Martin 3 Kazarin, Lev S. 3 Kim, Goansu 3 Klimann, Ines 3 Kunyavskiĭ, Boris Èmmanuilovich 3 Liebeck, Martin Walter 3 Liu, Heguo 3 Mamontov, Andrey S. 3 Mann, Avinoam 3 Marušič, Dragan 3 Muzychuk, Mikhail E. 3 Neumann, Bernhard Hermann 3 Newman, Mike Frederick 3 Noce, Marialaura 3 O’Brien, Eamonn A. 3 Oliver, Bob 3 Petrić, Zoran 3 Pfeiffer, Götz 3 Potočnik, Primož 3 Sah, Chih-Han 3 Scárdua, Bruno C. Azevedo 3 Seitz, Gary M. 3 Širáň, Jozef 3 Škoviera, Martin 3 Smith, Jonathan Dallas Hayden 3 Song, Lixin 3 Tamaschke, Olaf 3 Thompson, John Griggs 3 Tiep Pham Huu 3 Vera López, Juan Antonio 3 Wagner, Ascher 3 Wang, Xiaoguang ...and 979 more Authors
all top 5

#### Cited in 231 Serials

 119 Journal of Algebra 69 Mathematische Zeitschrift 34 Archiv der Mathematik 33 Communications in Algebra 32 Transactions of the American Mathematical Society 30 Mathematische Annalen 30 Proceedings of the American Mathematical Society 27 Discrete Mathematics 17 Israel Journal of Mathematics 15 Bulletin of the Australian Mathematical Society 15 Journal of Combinatorial Theory. Series A 15 Linear Algebra and its Applications 14 Mathematical Proceedings of the Cambridge Philosophical Society 14 Journal of Pure and Applied Algebra 14 European Journal of Combinatorics 14 Bulletin of the American Mathematical Society. New Series 14 Journal of Algebra and its Applications 13 Linear and Multilinear Algebra 12 Journal of the Australian Mathematical Society 11 Mathematical Notes 11 Journal of Number Theory 10 Advances in Mathematics 10 Siberian Mathematical Journal 9 Archive for History of Exact Sciences 9 Inventiones Mathematicae 8 Applied Mathematics and Computation 8 Journal of Combinatorial Theory. Series B 7 Glasgow Mathematical Journal 7 Theoretical Computer Science 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Journal of Mathematical Chemistry 6 Journal of Mathematical Analysis and Applications 6 Algebra and Logic 6 Computational Methods and Function Theory 6 Bulletin of the American Mathematical Society 5 Acta Mathematica 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Monatshefte für Mathematik 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Rendiconti del Seminario Matematico della Università di Padova 5 Journal of Algebraic Combinatorics 5 Journal of Group Theory 4 Mathematics of Computation 4 Annales de l’Institut Fourier 4 Geometriae Dedicata 4 Journal of Computational and Applied Mathematics 4 Tohoku Mathematical Journal. Second Series 4 Journal of Symbolic Computation 4 International Journal of Algebra and Computation 4 Numerical Algorithms 3 Computers & Mathematics with Applications 3 International Journal of Control 3 Ukrainian Mathematical Journal 3 Journal of Geometry and Physics 3 The Mathematical Intelligencer 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Czechoslovak Mathematical Journal 3 Manuscripta Mathematica 3 Memoirs of the American Mathematical Society 3 Proceedings of the Japan Academy. Series A 3 Results in Mathematics 3 Topology and its Applications 3 Designs, Codes and Cryptography 3 Historia Mathematica 3 Experimental Mathematics 3 Journal of Inequalities and Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Nuclear Physics. B 2 Periodica Mathematica Hungarica 2 Physics Reports 2 Rocky Mountain Journal of Mathematics 2 Theoretical and Mathematical Physics 2 Beiträge zur Algebra und Geometrie 2 Bulletin de la Société Mathématique de France 2 Duke Mathematical Journal 2 Journal of Soviet Mathematics 2 Mathematica Slovaca 2 Numerische Mathematik 2 Semigroup Forum 2 Tokyo Journal of Mathematics 2 Combinatorica 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Discrete Mathematics and Applications 2 Aequationes Mathematicae 2 Annals of Physics 2 Journal of Knot Theory and its Ramifications 2 Journal of Mathematical Sciences (New York) 2 Finite Fields and their Applications 2 Representation Theory 2 The Ramanujan Journal 2 Algebras and Representation Theory 2 Mechanism and Machine Theory 2 Regular and Chaotic Dynamics 2 Journal of the European Mathematical Society (JEMS) 2 Journal of High Energy Physics 2 Algebraic & Geometric Topology 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Monatshefte für Mathematik und Physik 2 Physical Review, II. Series ...and 131 more Serials
all top 5

#### Cited in 56 Fields

 536 Group theory and generalizations (20-XX) 138 Combinatorics (05-XX) 55 Number theory (11-XX) 51 Associative rings and algebras (16-XX) 43 Algebraic geometry (14-XX) 43 Special functions (33-XX) 38 Manifolds and cell complexes (57-XX) 37 Functions of a complex variable (30-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 32 History and biography (01-XX) 29 Computer science (68-XX) 27 Approximations and expansions (41-XX) 24 Geometry (51-XX) 23 Field theory and polynomials (12-XX) 23 Algebraic topology (55-XX) 23 Quantum theory (81-XX) 19 Real functions (26-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Commutative algebra (13-XX) 17 $$K$$-theory (19-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 15 Nonassociative rings and algebras (17-XX) 15 Numerical analysis (65-XX) 12 Category theory; homological algebra (18-XX) 12 Topological groups, Lie groups (22-XX) 12 Information and communication theory, circuits (94-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Biology and other natural sciences (92-XX) 9 Differential geometry (53-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Probability theory and stochastic processes (60-XX) 7 General and overarching topics; collections (00-XX) 7 Mathematical logic and foundations (03-XX) 7 Ordinary differential equations (34-XX) 7 Functional analysis (46-XX) 6 General algebraic systems (08-XX) 5 Convex and discrete geometry (52-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Partial differential equations (35-XX) 4 Abstract harmonic analysis (43-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 4 Mechanics of particles and systems (70-XX) 3 Potential theory (31-XX) 3 Fluid mechanics (76-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

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