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## Turnbull, Herbert Westren

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 Author ID: turnbull.herbert-westren Published as: H. W. T.; Turnbull; Turnbull, H. W.; Turnbull, Herbert W.; Turnbull, Herbert Western; Turnbull, Herbert Westren External Links: MGP · Wikidata · GND · MacTutor
 Documents Indexed: 122 Publications since 1910, including 19 Books Biographic References: 1 Publication
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#### Co-Authors

 110 single-authored 5 Williamson, John 3 Aitken, Alexander Craig 1 Dasgupta, P. N. 1 Dougall, John 1 Gibson, George A. 1 Lawson, George 1 Pinkerton, Peter 1 Wallace, Andrew Hugh 1 Young, Alfred
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#### Serials

 21 Proceedings of the London Mathematical Society. Second Series 19 Proceedings of the Royal Society of Edinburgh 13 Proceedings of the Edinburgh Mathematical Society. Series II 11 Mathematical Notes 9 Journal of the London Mathematical Society 7 Proceedings of the Cambridge Philosophical Society 5 The Edinburgh Mathematical Notes 2 The Mathematical Gazette 2 Proceedings. Akadamie van Wetenschappen Amsterdam 2 Nature, London 1 American Mathematical Monthly 1 Canadian Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of the Indian Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society 1 Transactions of the Cambridge Philosophical Society

#### Fields

 5 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 266 times in 234 Documents Cited by Year
An introduction to the theory of canonical matrices. Zbl 0005.19303
Turnbull, H. W.; Aitken, A. C.
1932
The theory of determinants, matrices, and invariants. 3rd ed. Zbl 0103.00702
Turnbull, H. W.
1960
An introduction to the theory of canonical matrices. Unabridged and corrected republ. of the third ed. 1952. Zbl 0096.00801
Turnbull, H. W.; Aitken, A. C.
1961
On the equivalence of pencils of Hermitian forms. Zbl 0011.28902
Turnbull, H. W.
1935
The theory of determinants, matrices, and invariants. JFM 54.0129.12
Turnbull, H. W.
1928
The correspondence of Isaac Newton. Vol. I: 1661-1675. Vol II: 1676-1687. Zbl 0093.00403
Turnbull, H. W. (ed.)
1959
Theory of equations. Zbl 0061.01702
Turnbull, H. W.
1944
On differentiating a matrix. JFM 54.0111.01
Turnbull, H. W.
1928
Symmetric determinants and the Cayley and Capelli operators. Zbl 0036.15002
Turnbull, H. W.
1948
The mathematical discoveries of Newton. - 2nd ed. Zbl 0036.00401
Turnbull, H. W.
1947
The correspondence of Isaac Newton. Vol. III: 1688-1694. Zbl 0102.00202
Turnbull, H. W. (ed.)
1961
The mathematical discoveries of Newton. Zbl 0060.00820
Turnbull, H. W.
1945
The great mathematicians. JFM 55.0621.05
Turnbull, H. W.
1929
The projective invariants of four medials. Zbl 0063.07882
Turnbull, H. W.
1942
James Gregory tercentenary memorial volume. Containing his correspondence with John Collins and his hitherto unpublished mathematical manuscripts, together with addresses and essays communicated to the Royal Society of Edinburgh, July 4, 1938. Zbl 0026.28904
Turnbull, Herbert Western (ed.)
1939
A matrix form of Taylor’s theorem. JFM 56.0104.05
Turnbull, H. W.
1930
Theory of equations. JFM 65.1117.06
Turnbull, H. W.
1939
An introduction to the theory of canonical matrices. JFM 58.0101.01
Turnbull, Herbert W.; Aitken, Alexander C.
1932
The invariant theory of a general bilinear form. Zbl 0002.38102
Turnbull, H. W.
1931
The linear invariants of ten quaternary quadrics. JFM 53.0094.01
Turnbull, H. W.; Young, A.
1927
Bi-centenary of the death of Colin Maclaurin (1698-1746), mathematician and philosopher, professor of mathematics in Marischal College, Aberdeen (1717-1725). Zbl 0043.00404
Turnbull, Herbert Westren
1951
The critical concomitant of bilinear forms. Zbl 0060.03903
Turnbull, H. W.
1946
A synthetic application of the symbolic invariant theory to geometry. JFM 53.0093.02
Turnbull, H. W.
1927
On the vector algebra of eight associated points of three quadric surfaces. JFM 51.0521.05
Turnbull, H. W.
1925
Double binary forms. JFM 49.0687.01
Turnbull, H. W.
1923
Clebsch-Aronhold symbols and the theory of symmetric functions. Zbl 0045.29801
Turnbull, H. W.; Wallace, A. H.
1951
The great mathematicians. 4th ed. Zbl 0043.24505
Turnbull, H. W.
1951
Note upon the generalized Cayleyan operator. Zbl 0037.14801
Turnbull, H. W.
1949
Alfred Young 1873-1940. Zbl 0028.19507
Turnbull, H. W.
1941
James Gregory (1638-1675). Zbl 0060.00916
Turnbull, H. W.
1939
Bertram Martin Wilson, M. A., D. Sc. JFM 62.1042.03
H. W. T.
1936
On the reduction of singular matrix pencils. Zbl 0010.38701
Turnbull, H. W.
1935
Note on partial fractions and determinants. JFM 53.0085.03
Turnbull, H. W.
1927
Recent developments in invariant theory. JFM 52.0039.01
Turnbull, H. W.
1926
A geometrical interpretation of the complete system of the double binary (2, 2) form. JFM 49.0069.03
Turnbull, H. W.
1924
Turnbull, H. W.
1910
An introduction to the theory of canonical matrices. Unabridged and corrected republ. of the third ed. 1952. Zbl 0096.00801
Turnbull, H. W.; Aitken, A. C.
1961
The correspondence of Isaac Newton. Vol. III: 1688-1694. Zbl 0102.00202
Turnbull, H. W. (ed.)
1961
The theory of determinants, matrices, and invariants. 3rd ed. Zbl 0103.00702
Turnbull, H. W.
1960
The correspondence of Isaac Newton. Vol. I: 1661-1675. Vol II: 1676-1687. Zbl 0093.00403
Turnbull, H. W. (ed.)
1959
Bi-centenary of the death of Colin Maclaurin (1698-1746), mathematician and philosopher, professor of mathematics in Marischal College, Aberdeen (1717-1725). Zbl 0043.00404
Turnbull, Herbert Westren
1951
Clebsch-Aronhold symbols and the theory of symmetric functions. Zbl 0045.29801
Turnbull, H. W.; Wallace, A. H.
1951
The great mathematicians. 4th ed. Zbl 0043.24505
Turnbull, H. W.
1951
Note upon the generalized Cayleyan operator. Zbl 0037.14801
Turnbull, H. W.
1949
Symmetric determinants and the Cayley and Capelli operators. Zbl 0036.15002
Turnbull, H. W.
1948
The mathematical discoveries of Newton. - 2nd ed. Zbl 0036.00401
Turnbull, H. W.
1947
The critical concomitant of bilinear forms. Zbl 0060.03903
Turnbull, H. W.
1946
The mathematical discoveries of Newton. Zbl 0060.00820
Turnbull, H. W.
1945
Theory of equations. Zbl 0061.01702
Turnbull, H. W.
1944
The projective invariants of four medials. Zbl 0063.07882
Turnbull, H. W.
1942
Alfred Young 1873-1940. Zbl 0028.19507
Turnbull, H. W.
1941
James Gregory tercentenary memorial volume. Containing his correspondence with John Collins and his hitherto unpublished mathematical manuscripts, together with addresses and essays communicated to the Royal Society of Edinburgh, July 4, 1938. Zbl 0026.28904
Turnbull, Herbert Western (ed.)
1939
Theory of equations. JFM 65.1117.06
Turnbull, H. W.
1939
James Gregory (1638-1675). Zbl 0060.00916
Turnbull, H. W.
1939
Bertram Martin Wilson, M. A., D. Sc. JFM 62.1042.03
H. W. T.
1936
On the equivalence of pencils of Hermitian forms. Zbl 0011.28902
Turnbull, H. W.
1935
On the reduction of singular matrix pencils. Zbl 0010.38701
Turnbull, H. W.
1935
An introduction to the theory of canonical matrices. Zbl 0005.19303
Turnbull, H. W.; Aitken, A. C.
1932
An introduction to the theory of canonical matrices. JFM 58.0101.01
Turnbull, Herbert W.; Aitken, Alexander C.
1932
The invariant theory of a general bilinear form. Zbl 0002.38102
Turnbull, H. W.
1931
A matrix form of Taylor’s theorem. JFM 56.0104.05
Turnbull, H. W.
1930
The great mathematicians. JFM 55.0621.05
Turnbull, H. W.
1929
The theory of determinants, matrices, and invariants. JFM 54.0129.12
Turnbull, H. W.
1928
On differentiating a matrix. JFM 54.0111.01
Turnbull, H. W.
1928
The linear invariants of ten quaternary quadrics. JFM 53.0094.01
Turnbull, H. W.; Young, A.
1927
A synthetic application of the symbolic invariant theory to geometry. JFM 53.0093.02
Turnbull, H. W.
1927
Note on partial fractions and determinants. JFM 53.0085.03
Turnbull, H. W.
1927
Recent developments in invariant theory. JFM 52.0039.01
Turnbull, H. W.
1926
On the vector algebra of eight associated points of three quadric surfaces. JFM 51.0521.05
Turnbull, H. W.
1925
A geometrical interpretation of the complete system of the double binary (2, 2) form. JFM 49.0069.03
Turnbull, H. W.
1924
Double binary forms. JFM 49.0687.01
Turnbull, H. W.
1923
Turnbull, H. W.
1910
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#### Cited by 276 Authors

 7 Karcanias, Nicos 5 Kalogeropoulos, Grigoris I. 4 Brini, Andrea 4 Huda, Shahariar 4 Iarrobino, Anthony A. 4 Rota, Gian-Carlo 3 Ballantine, C. S. 3 Basili, Roberta 3 Blagouchine, Iaroslav V. 3 Hawkins, Thomas 3 Huang, Rosa Q. 3 Khatami, Leila 3 Thompson, Robert C. 3 Towber, Jacob 3 Umeda, Tôru 3 White, Neil L. 3 Whiteley, Walter John 2 Adkins, J. E. 2 Barnabei, Marilena 2 Brenner, Joël Lee 2 Caracciolo, Sergio 2 Crilly, Tony 2 de Camargo, André Pierro 2 de Terán, Fernando 2 Dominici, Diego Ernesto 2 Erlichson, Herman 2 Freedman, Herbert Irving 2 Galántai, Aurél 2 Gauger, Michael A. 2 Gonzalez-Vega, Laureano 2 Harima, Tadahito 2 Hershkowitz, Daniel 2 Hou, Xiang-Dong 2 Katz, Victor J. 2 Madow, William G. 2 Marcus, Marvin D. 2 Olver, Peter John 2 Osada, Naoki 2 Pipes, Louis A. 2 Portmann, Walter O. 2 Qi, Feng 2 Richman, David Ross 2 Robbins, David P. 2 Spencer, Anthony James Merrill 2 Sportiello, Andrea 2 Stein, Joel Alvin 2 Stong, Richard A. 2 Teolis, Antonio G. B. 2 Wallace, Andrew Hugh 2 Watanabe, Junzo 2 Williamson, S. Gill 1 Afolabi, Daré 1 Al-Shiha, A. A. 1 Aldrich, John A. 1 Andresen, Patricia 1 Anisova, E. G. 1 Atkinson, Frederick Valentine 1 Backhouse, Nigel B. 1 Barnes, Aaron C. 1 Barnett, Stephen 1 Behrend, Roger E. 1 Benedetti, Riccardo 1 Berndt, Bruce Carl 1 Binding, Paul Anthony 1 Bitoun, Thomas 1 Bogner, Christian 1 Boley, Daniel L. 1 Borobia, Alberto 1 Bourgeois, Gerald 1 Bradley, Cathy J. 1 Bradley, Gordon H. 1 Brawley, Joel Vincent jun. 1 Brechenmacher, Frédéric 1 Bremser, Priscilla S. 1 Brown, Russell D. 1 Brown, William G. 1 Brualdi, Richard Anthony 1 Bushra, H. 1 Butcher, John C. 1 Byrnes, Christopher Ian 1 Canfield, E. Rodney 1 Canogar, Roberto 1 Cardon, David A. 1 Carlitz, Leonard 1 Chapman, Robin J. 1 Chernov, Nikolai Ivanovich 1 Chervov, Alexander Viktorovich 1 Cho, Choong Yun 1 Choe, Hee-Hwan 1 Cohen, Graeme L. 1 Cools, Ronald 1 Corless, Robert Malcolm 1 Cragnolini, Paolo 1 Craik, Alex D. D. 1 Crippa, Davide 1 da Silva Alves, Felipe 1 Das, Debraj 1 Deadman, Edvin 1 Demmel, James Weldon 1 Díaz-Toca, Gema María ...and 176 more Authors
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#### Cited in 92 Serials

 46 Linear Algebra and its Applications 13 Historia Mathematica 11 Journal of Algebra 9 Archive for History of Exact Sciences 8 Advances in Mathematics 7 Linear and Multilinear Algebra 5 Journal of Mathematical Analysis and Applications 5 Proceedings of the American Mathematical Society 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Transactions of the American Mathematical Society 5 Advances in Applied Mathematics 3 Archive for Rational Mechanics and Analysis 3 Discrete Mathematics 3 Journal of the Franklin Institute 3 Journal of Combinatorial Theory. Series A 3 Journal of Computational and Applied Mathematics 3 Journal of Number Theory 3 Circuits, Systems, and Signal Processing 3 Acta Applicandae Mathematicae 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Communications in Algebra 2 Mathematical Notes 2 Psychometrika 2 Mathematics of Computation 2 Acta Mathematica 2 Applied Mathematics and Computation 2 Automatica 2 Mathematische Zeitschrift 2 Statistics & Probability Letters 2 Journal of Symbolic Computation 2 Numerical Algorithms 2 Communications in Statistics. Theory and Methods 2 The Journal of Fourier Analysis and Applications 2 Monatshefte für Mathematik und Physik 1 Acta Mechanica 1 American Mathematical Monthly 1 Annals of Science 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 General Relativity and Gravitation 1 International Journal of Control 1 International Journal of Mathematical Education in Science and Technology 1 International Journal of Systems Science 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Periodica Mathematica Hungarica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Science & Education 1 The Mathematical Intelligencer 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 International Statistical Review 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of Geometry 1 Journal of Pure and Applied Algebra 1 Journal of Statistical Planning and Inference 1 Mathematische Annalen 1 Mathematika 1 Numerische Mathematik 1 Studies in Applied Mathematics 1 SIAM Journal on Algebraic and Discrete Methods 1 Computer Aided Geometric Design 1 Statistical Science 1 Annals of Physics 1 Journal of Knot Theory and its Ramifications 1 Journal of Mathematical Imaging and Vision 1 Journal of Algebraic Combinatorics 1 Séminaire Lotharingien de Combinatoire 1 Transformation Groups 1 Journal of the Australian Mathematical Society 1 Mediterranean Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 BSHM Bulletin 1 Journal of Commutative Algebra 1 S$$\vec{\text{e}}$$MA Journal 1 Palestine Journal of Mathematics 1 Mathematics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 British Journal for the History of Mathematics
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#### Cited in 51 Fields

 95 Linear and multilinear algebra; matrix theory (15-XX) 36 History and biography (01-XX) 32 Combinatorics (05-XX) 24 Numerical analysis (65-XX) 17 Algebraic geometry (14-XX) 14 Number theory (11-XX) 13 Group theory and generalizations (20-XX) 11 Commutative algebra (13-XX) 10 Nonassociative rings and algebras (17-XX) 9 Statistics (62-XX) 8 Systems theory; control (93-XX) 7 Associative rings and algebras (16-XX) 7 Operator theory (47-XX) 7 Geometry (51-XX) 7 Quantum theory (81-XX) 6 Special functions (33-XX) 6 Approximations and expansions (41-XX) 6 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Ordinary differential equations (34-XX) 4 Field theory and polynomials (12-XX) 4 Partial differential equations (35-XX) 4 Differential geometry (53-XX) 4 Probability theory and stochastic processes (60-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Convex and discrete geometry (52-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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