×

Birkhoff, George David (b. 1884 d. 1944)

Author ID: birkhoff.george-d Recent zbMATH articles by "Birkhoff, George David"
Published as: Birkhoff, G. D.; Birkhoff, George D.; Birkhoff, G.; Birkhoff, George David
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 192 Publications since 1904, including 10 Books
1 Contribution as Editor
Biographic References: 18 Publications
Co-Authors: 21 Co-Authors with 40 Joint Publications
131 Co-Co-Authors
all top 5

Serials

40 Bulletin of the American Mathematical Society
24 Proceedings of the National Academy of Sciences of the United States of America
15 Transactions of the American Mathematical Society
10 Annals of Mathematics. Second Series
6 Acta Mathematica
6 Annali della Scuola Normale Superiore di Pisa. II. Ser
5 Bulletin de la Société Mathématique de France
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
5 Revista de Ciencias, Lima
5 Science
4 Duke Mathematical Journal
3 American Mathematical Monthly
3 Mathematische Annalen
3 Annales de l’Institut Henri Poincaré
2 American Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Rendiconti del Circolo Matematico di Palermo
2 Memoriae Pontificiae Academiae Scientiarum Novi Lyncaei. III. Series
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Bulletin of the American Mathematical Society. New Series
1 Periodico di Matematiche. IV. Serie
1 Physical Review, II. Series
1 Acta Litterarum ac Scientiarum. Regiae Universitatis Hungaricae Francisco-Josephinae. Sectio Scientiarum Mathematicarum
1 Sitzungsberichte der Preußischen Akademie der Wissenschaften, Physikalisch-Mathematische Klasse
1 Colloquium Publications. American Mathematical Society
1 Rendiconti del Seminario Matematico delle Facoltá di Scienze della R. Universitá di Roma, II. Serie
1 Scientia
1 Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-Physikalische Klasse

Publications by Year

Citations contained in zbMATH Open

117 Publications have been cited 3,243 times in 2,674 Documents Cited by Year
Dynamical systems. JFM 53.0732.01
Birkhoff, George D.
370
1927
Dynamical systems. First printing of revised edition. Zbl 0171.05402
Birkhoff, G. D.
242
1966
Démonstration d’un théorème élémentaire sur les fonctions entières. JFM 55.0192.07
Birkhoff, G. D.
197
1929
A determinant formula for the number of ways of coloring a map. JFM 43.0574.02
Birkhoff, G. D.
151
1912
Boundary value and expansion problems of ordinary linear differential equations. JFM 39.0386.02
Birkhoff, G. D.
139
1908
Surface transformations and their dynamical applications. JFM 47.0985.03
Birkhoff, G. D.
117
1920
On the asymptotic character of the solutions of certain linear differential equations containing a parameter. JFM 39.0386.01
Birkhoff, G. D.
112
1908
On the periodic motions of dynamical systems. JFM 53.0733.03
Birkhoff, G. D.
97
1927
Proof of the ergodic theorem. JFM 57.1011.02
Birkhoff, G. D.
93
1931
Dynamical systems with two degrees of freedom. JFM 46.1174.01
Birkhoff, G. D.
93
1917
The restricted problem of three bodies. JFM 45.1396.01
Birkhoff, G. D.
90
1915
Proof of Poincaré’s geometric theorem. JFM 44.0761.01
Birkhoff, G. D.
84
1913
On the integral divisors of \(a^n - b^n\). JFM 35.0205.01
Birkhoff, George David; Vandiver, H. S.
78
1904
Proof of the ergodic theorem. Zbl 0003.25602
Birkhoff, George D.
78
1931
Chromatic polynomials. Zbl 0060.41601
Birkhoff, George D.; Lewis, D. C.
78
1946
Relativity and modern physics. With the cooperation of R. E. Langer. JFM 49.0619.01
Birkhoff, G. D.
74
1923
Formal theory of irregular linear difference equations. JFM 56.0402.01
Birkhoff, G. D.
61
1930
General theory of linear difference equations. JFM 42.0359.02
Birkhoff, G. D.
56
1911
An extension of Poincaré’s last geometric theorem. JFM 52.0573.02
Birkhoff, G. D.
56
1926
The generalized Riemann problem for linear differential equations and the allied problems for linear difference and \(q\)-difference equations. JFM 44.0391.03
Birkhoff, G. D.
51
1913
General mean value and remainder theorems. JFM 37.0308.02
Birkhoff, G. D.
51
1906
Collected mathematical papers. Vols I, II, III. Zbl 0041.34201
Birkhoff, George D.
48
1950
Analytic theory of singular difference equations. Zbl 0006.16802
Birkhoff, George D.; Trjitzinsky, W. J.
44
1933
The boundary problems and developments associated with a system of ordinary linear differential equations of the first order. JFM 49.0723.01
Birkhoff, G. D.; Langer, R. E.
43
1923
Invariant points in function space. JFM 48.0472.02
Birkhoff, G. D.; Kellogg, O. D.
38
1922
On the periodic motions near a given periodic motion of a dynamical system. Zbl 0007.37104
Birkhoff, G. D.; Lewis, D. C. jun.
33
1933
Singular points ot ordinary linear differential equations. JFM 40.0352.02
Birkhoff, G. D.
32
1909
On the solutions of ordinary linear homogeneous differential equations of the third order. JFM 42.0344.01
Birkhoff, G. D.
30
1911
Nouvelles recherches sur les systèmes dynamiques. JFM 60.1340.02
Birkhoff, G. D.
25
1934
A theorem on matrices of analytic functions. JFM 44.0469.02
Birkhoff, G. D.
25
1913
The reducibility of maps. JFM 44.0568.01
Birkhoff, George David
23
1913
Proof of a recurrence theorem for strongly transitive systems. Zbl 0003.25601
Birkhoff, George D.
21
1931
Sur quelques courbes fermées remarquables. Zbl 0005.22002
Birkhoff, George D.
20
1932
Quantum mechanics and asymptotic series. I. Zbl 0008.08902
Birkhoff, G. D.
20
1933
Quelques théorèmes sur le mouvement des systèmes dynamiques. JFM 43.0818.01
Birkhoff, G. D.
19
1912
Analytic theory of singular difference equations. JFM 59.0450.03
Birkhoff, G. D.; Trjitzinsky, W. J.
19
1933
Aesthetic measure. JFM 59.0871.02
Birkhoff, G. D.
19
1933
Stability and the equations of dynamics. JFM 53.0733.04
Birkhoff, G. D.
19
1927
Collected mathematical papers. Vols I, II, III. Zbl 0225.01009
Birkhoff, George D.
18
1968
General ergodic theorems. JFM 66.0559.02
Alaoglu, L.; Birkhoff, G.
18
1940
Nouvelles recherches sur les systèmes dynamiques. Zbl 0016.23401
Birkhoff, George D.
16
1934
General ergodic theorems. Zbl 0024.12402
Alaoglu, L.; Birkhoff, G.
16
1940
Equivalent singular points of ordinary linear differential equations. JFM 44.0373.01
Birkhoff, G. D.
14
1913
Recent contributions to the ergodic theory. Zbl 0004.31102
Birkhoff, G. D.; Koopman, B. O.
14
1932
Natural isoperimetric conditions in the calculus of variations. Zbl 0014.31601
Birkhoff, G. D.; Hestenes, M. R.
14
1935
Analytical groups. JFM 64.1092.02
Birkhoff, G.
13
1938
Structure analysis of surface transformations. JFM 54.0604.03
Birkhoff, G. D.; Smith, P. A.
13
1928
Matter, electricity and gravitation in flat space-time. Zbl 0061.47004
Birkhoff, George D.
12
1943
Sur quelques courbes fermées remarquables. JFM 58.0633.01
Birkhoff, George David
12
1932
Note on a canonical form for the linear \(q\)-difference system. JFM 67.0305.02
Birkhoff, G. D.; Guenther, P. E.
11
1941
A set of postulates for plane geometry, based on scale and protractor. Zbl 0004.12602
Birkhoff, George D.
11
1932
Some unsolved problems of theoretical dynamics. Zbl 1225.70001
Birkhoff, George D.
11
1941
On the number of ways of colouring a map. JFM 56.0499.02
Birkhoff, G. D.
9
1930
Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. Zbl 0001.17402
Birkhoff, George D.
9
1931
What is the ergodic theorem,. Zbl 0063.00410
Birkhoff, George D.
8
1942
Existence and oscillation theorem for a certain boundary value problem. JFM 40.0375.01
Birkhoff, G. D.
8
1909
Some remarks concerning Schrödinger’s wave equation. Zbl 0006.30802
Birkhoff, George D.
7
1933
Note on a canonical form for the linear \(q\)-difference system. Zbl 0061.20002
Birkhoff, George D.; Guenther, Paul E.
7
1941
A simplified treatment of the regular singular point. JFM 41.0350.01
Birkhoff, G. D.
6
1910
Quantum mechanics and asymptotic series. JFM 59.1530.01
Birkhoff, G. D.
6
1933
Über gewisse Zentralbewegungen dynamischer Systeme. JFM 52.0802.04
Birkhoff, G. D.
6
1926
On a simple type of irregular singular point. JFM 44.0373.02
Birkhoff, G. D.
6
1913
Note on the expansion problems of ordinary linear differential equations. JFM 44.0372.03
Birkhoff, G. D.
5
1913
Generalized minimax principle in the calculus of variations. Zbl 0013.17101
Birkhoff, G. D.; Hestenes, M. R.
5
1935
Fifty years of American mathematics. Zbl 0019.24307
Birkhoff, George D.
5
1938
Selected papers of Richard von Mises. Vol. I: Geometry, mechanics, analysis. Selected and edited by Ph. Frank, S. Goldstein, M. Kac, W. Prager, G. Szegő and G. Birkhoff. Zbl 0138.24202
von Mises, Richard
5
1963
Déformations analytiques et fonctions auto-équivalentes. Zbl 0063.00405
Birkhoff, George D.
4
1939
Fifty years of American mathematics. JFM 64.0003.04
Birkhoff, G. D.
4
1938
Sur le problème restreint des trois corps. JFM 61.1480.03
Birkhoff, G. D.
4
1935
Sur une généralisation de la série de Taylor. JFM 46.0483.05
Birkhoff, G. D.
4
1917
Infinite products of analytic matrices. JFM 46.0531.04
Birkhoff, G. D.
4
1916
An elementary double inequality for the roots of an algebraic equation having greatest absolute value. JFM 45.0186.03
Birkhoff, G. D.
4
1915
Probability and physical systems. Zbl 0005.22201
Birkhoff, G. D.
4
1932
On the polynomial expressions for the number of ways of coloring a map. Zbl 0008.22601
Birkhoff, George D.
4
1934
Dynamical systems. Transl. from the English by E. M. Livenson. Ed. by A. A. Markov, V. V. Nemytskij and V. V. Stepanov. (Dinamicheskie sistemy.) Zbl 0992.37001
Birkhoff, G. D.
3
1999
Flat space-time and gravitation. Zbl 0061.47005
Birkhoff, George D.
3
1944
On Birkhoff’s new theory of gravitation. Zbl 0061.47011
Barajas, A.; Birkhoff, George D.; Graef, C.; Vallarta, M.
3
1944
The principle of sufficient reason. Zbl 0063.00407
Birkhoff, George D.
3
1941
On the periodic motions near a given periodic motion of a dynamical system. JFM 59.0733.05
Birkhoff, G. D.; Lewis, D. C.
3
1933
Analytic theory of singular difference equations. JFM 58.0472.02
Birkhoff, G. D.; Trjitzinsky, W. J.
3
1932
A set of postulates for plane geometry. JFM 58.1196.01
Birkhoff, G. D.
3
1932
Recent contributions to the ergodic theory. JFM 58.1271.02
Birkhoff, G. D.; Koopman, B. O.
3
1932
Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. JFM 57.0729.03
Birkhoff, G. D.
3
1931
Proof of a recurrence for strongly transitive systems. JFM 57.1011.01
Birkhoff, G. D.
3
1931
The periodic motions near a stable periodic motion of a dynamical system. JFM 53.0751.19
Birkhoff, G. D.
3
1927
Sur l’existence de regions d’instabilite en dynamique. Zbl 0005.22103
Birkhoff, George D.
3
1932
Natural isoperimetric conditions in the calculus of variations. Zbl 0011.16701
Birkhoff, G. D.; Hestenes, M. R.
3
1935
Sur le problème restreint des trois corps. (I. mem.). Zbl 0012.12804
Birkhoff, George D.
3
1935
Distributive postulates for systems like Boolean algebras. Zbl 0060.05810
Birkhoff, George D.; Birkhoff, Garrett
3
1946
The mathematical nature of physical theories. Zbl 0061.00609
Birkhoff, George D.
3
1943
Note on the gamma function. JFM 44.0516.04
Birkhoff, G. D.
2
1913
Note on linear difference and differential equations. JFM 67.0305.01
Birkhoff, G. D.
2
1941
On the polynomial expressions for the number of ways of coloring a map. JFM 60.0501.06
Birkhoff, G. D.
2
1934
Divergent series and singular points of ordinary differential equations. JFM 56.0381.01
Birkhoff, G. D.; Bamforth, F. R.
2
1930
Einige Probleme der Dynamik. JFM 55.0452.03
Birkhoff, G. D.
2
1929
A mathematical critique of some physical theories. JFM 53.0828.18
Birkhoff, G. D.
2
1927
The hydrogen atom and the Balmer formula. JFM 53.0869.06
Birkhoff, G. D.
2
1927
Démonstration du dernier théorème de géométrie de Poincaré. JFM 45.0933.05
Birkhoff, G. D.
2
1914
A mathematical approach to aesthetics. Zbl 0002.17703
Birkhoff, George D.
2
1931
Generalized minimax principle in the calculus of variations. Zbl 0011.16602
Birkhoff, G. D.; Hestenes, M. R.
2
1935
A mathematical critique of some physical theories. Zbl 1010.01520
Birkhoff, G. D.
1
2000
Dynamical systems. Transl. from the English by E. M. Livenson. Ed. by A. A. Markov, V. V. Nemytskij and V. V. Stepanov. (Dinamicheskie sistemy.) Zbl 0992.37001
Birkhoff, G. D.
3
1999
Collected mathematical papers. Vols I, II, III. Zbl 0225.01009
Birkhoff, George D.
18
1968
Dynamical systems. First printing of revised edition. Zbl 0171.05402
Birkhoff, G. D.
242
1966
Selected papers of Richard von Mises. Vol. I: Geometry, mechanics, analysis. Selected and edited by Ph. Frank, S. Goldstein, M. Kac, W. Prager, G. Szegő and G. Birkhoff. Zbl 0138.24202
von Mises, Richard
5
1963
Collected mathematical papers. Vols. I, II, III. Zbl 0045.14802
Birkhoff, George D.
1
1951
Collected mathematical papers. Vols I, II, III. Zbl 0041.34201
Birkhoff, George D.
48
1950
Chromatic polynomials. Zbl 0060.41601
Birkhoff, George D.; Lewis, D. C.
78
1946
Distributive postulates for systems like Boolean algebras. Zbl 0060.05810
Birkhoff, George D.; Birkhoff, Garrett
3
1946
Flat space-time and gravitation. Zbl 0061.47005
Birkhoff, George D.
3
1944
On Birkhoff’s new theory of gravitation. Zbl 0061.47011
Barajas, A.; Birkhoff, George D.; Graef, C.; Vallarta, M.
3
1944
Matter, electricity and gravitation in flat space-time. Zbl 0061.47004
Birkhoff, George D.
12
1943
The mathematical nature of physical theories. Zbl 0061.00609
Birkhoff, George D.
3
1943
What is the ergodic theorem,. Zbl 0063.00410
Birkhoff, George D.
8
1942
Note on a canonical form for the linear \(q\)-difference system. JFM 67.0305.02
Birkhoff, G. D.; Guenther, P. E.
11
1941
Some unsolved problems of theoretical dynamics. Zbl 1225.70001
Birkhoff, George D.
11
1941
Note on a canonical form for the linear \(q\)-difference system. Zbl 0061.20002
Birkhoff, George D.; Guenther, Paul E.
7
1941
The principle of sufficient reason. Zbl 0063.00407
Birkhoff, George D.
3
1941
Note on linear difference and differential equations. JFM 67.0305.01
Birkhoff, G. D.
2
1941
General ergodic theorems. JFM 66.0559.02
Alaoglu, L.; Birkhoff, G.
18
1940
General ergodic theorems. Zbl 0024.12402
Alaoglu, L.; Birkhoff, G.
16
1940
Déformations analytiques et fonctions auto-équivalentes. Zbl 0063.00405
Birkhoff, George D.
4
1939
General ergodic theorems. Zbl 0022.36103
Alaoglu, L.; Birkhoff, G.
1
1939
Analytical groups. JFM 64.1092.02
Birkhoff, G.
13
1938
Fifty years of American mathematics. Zbl 0019.24307
Birkhoff, George D.
5
1938
Fifty years of American mathematics. JFM 64.0003.04
Birkhoff, G. D.
4
1938
The foundation of quantum mechanics. JFM 63.1385.03
Birkhoff, G. D.
1
1937
Sur le problème restreint des trois corps. II. JFM 62.0929.02
Birkhoff, G. D.
1
1936
Natural isoperimetric conditions in the calculus of variations. Zbl 0014.31601
Birkhoff, G. D.; Hestenes, M. R.
14
1935
Generalized minimax principle in the calculus of variations. Zbl 0013.17101
Birkhoff, G. D.; Hestenes, M. R.
5
1935
Sur le problème restreint des trois corps. JFM 61.1480.03
Birkhoff, G. D.
4
1935
Natural isoperimetric conditions in the calculus of variations. Zbl 0011.16701
Birkhoff, G. D.; Hestenes, M. R.
3
1935
Sur le problème restreint des trois corps. (I. mem.). Zbl 0012.12804
Birkhoff, George D.
3
1935
Generalized minimax principle in the calculus of variations. Zbl 0011.16602
Birkhoff, G. D.; Hestenes, M. R.
2
1935
Nouvelles recherches sur les systèmes dynamiques. JFM 60.1340.02
Birkhoff, G. D.
25
1934
Nouvelles recherches sur les systèmes dynamiques. Zbl 0016.23401
Birkhoff, George D.
16
1934
On the polynomial expressions for the number of ways of coloring a map. Zbl 0008.22601
Birkhoff, George D.
4
1934
On the polynomial expressions for the number of ways of coloring a map. JFM 60.0501.06
Birkhoff, G. D.
2
1934
Analytic theory of singular difference equations. Zbl 0006.16802
Birkhoff, George D.; Trjitzinsky, W. J.
44
1933
On the periodic motions near a given periodic motion of a dynamical system. Zbl 0007.37104
Birkhoff, G. D.; Lewis, D. C. jun.
33
1933
Quantum mechanics and asymptotic series. I. Zbl 0008.08902
Birkhoff, G. D.
20
1933
Analytic theory of singular difference equations. JFM 59.0450.03
Birkhoff, G. D.; Trjitzinsky, W. J.
19
1933
Aesthetic measure. JFM 59.0871.02
Birkhoff, G. D.
19
1933
Some remarks concerning Schrödinger’s wave equation. Zbl 0006.30802
Birkhoff, George D.
7
1933
Quantum mechanics and asymptotic series. JFM 59.1530.01
Birkhoff, G. D.
6
1933
On the periodic motions near a given periodic motion of a dynamical system. JFM 59.0733.05
Birkhoff, G. D.; Lewis, D. C.
3
1933
The mathematical work of Oliver Dimon Kellogg. JFM 59.0042.07
Birkhoff, G. D.
1
1933
Sur quelques courbes fermées remarquables. Zbl 0005.22002
Birkhoff, George D.
20
1932
Recent contributions to the ergodic theory. Zbl 0004.31102
Birkhoff, G. D.; Koopman, B. O.
14
1932
Sur quelques courbes fermées remarquables. JFM 58.0633.01
Birkhoff, George David
12
1932
A set of postulates for plane geometry, based on scale and protractor. Zbl 0004.12602
Birkhoff, George D.
11
1932
Probability and physical systems. Zbl 0005.22201
Birkhoff, G. D.
4
1932
Analytic theory of singular difference equations. JFM 58.0472.02
Birkhoff, G. D.; Trjitzinsky, W. J.
3
1932
A set of postulates for plane geometry. JFM 58.1196.01
Birkhoff, G. D.
3
1932
Recent contributions to the ergodic theory. JFM 58.1271.02
Birkhoff, G. D.; Koopman, B. O.
3
1932
Sur l’existence de regions d’instabilite en dynamique. Zbl 0005.22103
Birkhoff, George D.
3
1932
Sur l’existence de régions l’instabilité en dynamique. JFM 58.1274.02
Birkhoff, G. D.
1
1932
Proof of the ergodic theorem. JFM 57.1011.02
Birkhoff, G. D.
93
1931
Proof of the ergodic theorem. Zbl 0003.25602
Birkhoff, George D.
78
1931
Proof of a recurrence theorem for strongly transitive systems. Zbl 0003.25601
Birkhoff, George D.
21
1931
Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. Zbl 0001.17402
Birkhoff, George D.
9
1931
Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. JFM 57.0729.03
Birkhoff, G. D.
3
1931
Proof of a recurrence for strongly transitive systems. JFM 57.1011.01
Birkhoff, G. D.
3
1931
A mathematical approach to aesthetics. Zbl 0002.17703
Birkhoff, George D.
2
1931
Formal theory of irregular linear difference equations. JFM 56.0402.01
Birkhoff, G. D.
61
1930
On the number of ways of colouring a map. JFM 56.0499.02
Birkhoff, G. D.
9
1930
Divergent series and singular points of ordinary differential equations. JFM 56.0381.01
Birkhoff, G. D.; Bamforth, F. R.
2
1930
Démonstration d’un théorème élémentaire sur les fonctions entières. JFM 55.0192.07
Birkhoff, G. D.
197
1929
Einige Probleme der Dynamik. JFM 55.0452.03
Birkhoff, G. D.
2
1929
Divergente Reihen und singuläre Punkte gewöhnlicher Differentialgleichungen. JFM 55.0844.01
Birkhoff, G. D.
1
1929
Structure analysis of surface transformations. JFM 54.0604.03
Birkhoff, G. D.; Smith, P. A.
13
1928
A remark on the dynamical role of Poincaré’s last geometric theorem. JFM 54.0612.05
Birkhoff, G. D.
1
1928
Dynamical systems. JFM 53.0732.01
Birkhoff, George D.
370
1927
On the periodic motions of dynamical systems. JFM 53.0733.03
Birkhoff, G. D.
97
1927
Stability and the equations of dynamics. JFM 53.0733.04
Birkhoff, G. D.
19
1927
The periodic motions near a stable periodic motion of a dynamical system. JFM 53.0751.19
Birkhoff, G. D.
3
1927
A mathematical critique of some physical theories. JFM 53.0828.18
Birkhoff, G. D.
2
1927
The hydrogen atom and the Balmer formula. JFM 53.0869.06
Birkhoff, G. D.
2
1927
A theory of matter and electricity. JFM 53.0818.02
Birkhoff, G. D.
1
1927
An extension of Poincaré’s last geometric theorem. JFM 52.0573.02
Birkhoff, G. D.
56
1926
Über gewisse Zentralbewegungen dynamischer Systeme. JFM 52.0802.04
Birkhoff, G. D.
6
1926
Sur la signification des équations canoniques de la dynamique. JFM 52.0802.03
Birkhoff, G. D.
1
1926
Relativity and modern physics. With the cooperation of R. E. Langer. JFM 49.0619.01
Birkhoff, G. D.
74
1923
The boundary problems and developments associated with a system of ordinary linear differential equations of the first order. JFM 49.0723.01
Birkhoff, G. D.; Langer, R. E.
43
1923
Invariant points in function space. JFM 48.0472.02
Birkhoff, G. D.; Kellogg, O. D.
38
1922
The boundary problems and developments associated with a system of ordinary linear differential equations of the first order. JFM 48.0528.03
Birkhoff, G. D.; Langer, R. E.
1
1922
Surface transformations and their dynamical applications. JFM 47.0985.03
Birkhoff, G. D.
117
1920
The work of Poincaré on automorphic functions. JFM 47.0368.01
Birkhoff, G. D.
1
1920
Sur la démonstration directe du dernier théorème de Henri Poincaré, par M. Dantzig. JFM 46.0834.01
Birkhoff, G. D.
1
1918
Dynamical systems with two degrees of freedom. JFM 46.1174.01
Birkhoff, G. D.
93
1917
Sur une généralisation de la série de Taylor. JFM 46.0483.05
Birkhoff, G. D.
4
1917
Infinite products of analytic matrices. JFM 46.0531.04
Birkhoff, G. D.
4
1916
Dynamical systems with two degrees of freedom. JFM 46.0834.02
Birkhoff, G. D.
1
1916
The restricted problem of three bodies. JFM 45.1396.01
Birkhoff, G. D.
90
1915
An elementary double inequality for the roots of an algebraic equation having greatest absolute value. JFM 45.0186.03
Birkhoff, G. D.
4
1915
Démonstration du dernier théorème de géométrie de Poincaré. JFM 45.0933.05
Birkhoff, G. D.
2
1914
Proof of Poincaré’s geometric theorem. JFM 44.0761.01
Birkhoff, G. D.
84
1913
The generalized Riemann problem for linear differential equations and the allied problems for linear difference and \(q\)-difference equations. JFM 44.0391.03
Birkhoff, G. D.
51
1913
A theorem on matrices of analytic functions. JFM 44.0469.02
Birkhoff, G. D.
25
1913
The reducibility of maps. JFM 44.0568.01
Birkhoff, George David
23
1913
...and 17 more Documents
all top 5

Cited by 3,101 Authors

29 Markeev, Anatoliĭ Pavlovich
16 Grigoryan, Martin Gevorgovich
16 Zhang, Yi
13 Bardin, Boris Sabirovich
13 Bernal-Gonzàlez, Luis
13 Kozlov, Valeriĭ Vasil’evich
12 Vedyushkina, Viktoriya Viktorovna
11 Amouch, Mohamed
11 Blokhin, Aleksandr Mikhaĭlovich
11 Peris, Alfredo
11 Shkalikov, Andreĭ Andreevich
11 Tkachev, Dmitriĭ Leonidovich
10 Frauenfelder, Urs Adrian
10 Mudrock, Jeffrey A.
9 Arnaud, Marie-Claude
9 Dong, Fengming
9 Giorgilli, Antonio
9 Kaloshin, Vadim Yu.
9 Le Calvez, Patrice
9 Sargsyan, Artsrun A.
8 Benchiheb, Otmane
8 Bès, Juan P.
8 Fomenko, Anatoliĭ Timofeevich
8 Fonda, Alessandro
8 Freiling, Gerhard
8 Holmes, Philip J.
8 Kaul, Hemanshu
8 Meyer, Kenneth R.
8 Ramis, Jean-Pierre
8 Wang, Junmin
7 Chen, Yonggao
7 Conejero, José Alberto
7 Leonel, Edson Denis
7 Llibre, Jaume
7 Luh, Wolfgang
7 MacKay, Robert Sinclair
7 Malamud, Mark M.
7 Mather, John N.
7 Pelyukh, Grygor P.
7 Sauloy, Jacques
7 Sorrentino, Alfonso
7 Trjitzinsky, Waldemar Joseph
6 Chekina, Evgeniya Alekseevna
6 Lunyov, Anton A.
6 Lutz, Donald A.
6 Mei, Fengxiang
6 Menet, Quentin
6 Mirek, Mariusz
6 Neuman, František
6 Rezaei, Hamid
6 Tanikawa, Kiyotaka
6 Wang, Qiudong
6 Wong, Roderick Sue-Chuen
6 Wu, Huibin
6 Zanolin, Fabio
6 Zhang, Changgui
5 Agapov, Sergei Vadimovich
5 Annaby, Mahmoud H.
5 Batkhin, Alexandr B.
5 Berger, Pierre
5 Chan, Kit Chak
5 Donnelly, John B.
5 Eberhard, Walter
5 Ellis, George Francis Rayner
5 Erokhovets, Nikolaĭ Yur’evich
5 Fayad, Bassam R.
5 Hamza, Alaa E.
5 Hryniewicz, Umberto L.
5 Krall, Allan M.
5 León-Saavedra, Fernando
5 Long, Yiming
5 Luo, Albert C. J.
5 Luo, Shaokai
5 Makowsky, Johann-Andreas
5 Mukhtarov, Oktay Sh.
5 Reid, William T.
5 Salas, Jesús
5 Salomão, Pedro Antonio Santoro
5 Sansottera, Marco
5 Savchuk, Artem M.
5 Scorza Dragoni, Giuseppe
5 Sokal, Alan D.
5 Sokol’skiĭ, Andreĭ Georgievich
5 Thomassen, Carsten
5 Treshchev, Dmitriĭ Valer’evich
5 van Koert, Otto
5 Wimp, Jet
5 Yorke, James Alan
5 Zhang, Weinian
5 Zhou, Zehua
4 Akimoto, Takuma
4 Bayart, Frédéric
4 Bazzani, Armando
4 Benzinger, Harold E.
4 Biasco, Luca
4 Birkhoff, Garrett
4 Bunimovich, Leonid Abramovich
4 Calderón-Moreno, María del Carmen
4 Chechkin, Gregory Aleksandrovich
4 Cheng, Guang
...and 3,001 more Authors
all top 5

Cited in 522 Serials

94 Journal of Mathematical Analysis and Applications
79 Journal of Differential Equations
63 Physica D
59 Transactions of the American Mathematical Society
42 Proceedings of the American Mathematical Society
39 Communications in Mathematical Physics
38 Journal of Mathematical Sciences (New York)
37 Journal of Approximation Theory
36 Journal of Applied Mathematics and Mechanics
36 Regular and Chaotic Dynamics
33 Discrete Mathematics
33 Journal of Combinatorial Theory. Series B
33 Ergodic Theory and Dynamical Systems
33 Celestial Mechanics and Dynamical Astronomy
31 Mathematische Zeitschrift
27 Journal of Mathematical Physics
27 Chaos, Solitons and Fractals
27 Advances in Mathematics
26 Mathematische Annalen
25 Mathematical Notes
23 Bulletin of the American Mathematical Society. New Series
22 Acta Mathematica
22 Bulletin of the American Mathematical Society
21 Annali di Matematica Pura ed Applicata. Serie Quarta
21 Inventiones Mathematicae
20 General Relativity and Gravitation
20 Journal of Functional Analysis
20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
20 Chaos
19 Journal of Geometry and Physics
19 Nonlinear Dynamics
18 Celestial Mechanics
17 Annales de l’Institut Fourier
17 Annals of Physics
16 Prikladnaya Matematika i Mekhanika
16 Communications in Nonlinear Science and Numerical Simulation
15 Nonlinearity
15 Physics Letters. A
15 Applied Mathematics and Computation
15 Nonlinear Analysis. Theory, Methods & Applications
14 Duke Mathematical Journal
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Results in Mathematics
14 Topology and its Applications
14 Discrete and Continuous Dynamical Systems
13 The Mathematical Intelligencer
13 Sbornik: Mathematics
12 Archive for Rational Mechanics and Analysis
12 Integral Equations and Operator Theory
12 Journal of Computational and Applied Mathematics
12 Rendiconti del Circolo Matemàtico di Palermo. Serie II
12 Proceedings of the Steklov Institute of Mathematics
11 Classical and Quantum Gravity
11 Journal of Statistical Physics
11 Advances in Applied Mathematics
11 Journal of Dynamics and Differential Equations
11 Journal of Fixed Point Theory and Applications
11 Complex Analysis and Operator Theory
10 Rocky Mountain Journal of Mathematics
10 Journal of Number Theory
10 Linear Algebra and its Applications
10 Journal of Difference Equations and Applications
9 Mathematics of Computation
9 Archiv der Mathematik
9 Graphs and Combinatorics
9 Aequationes Mathematicae
9 Historia Mathematica
9 The Electronic Journal of Combinatorics
9 Annals of Mathematics. Second Series
9 Acta Mathematica Sinica. English Series
8 Acta Mechanica
8 Archive for History of Exact Sciences
8 Publications Mathématiques
8 Journal of Algebra
8 Manuscripta Mathematica
8 European Journal of Combinatorics
8 Journal of Symbolic Computation
8 Qualitative Theory of Dynamical Systems
8 Computational Methods and Function Theory
8 Advances in Difference Equations
8 Journal of Physics A: Mathematical and Theoretical
8 Russian Journal of Nonlinear Dynamics
7 Discrete Applied Mathematics
7 International Journal of Theoretical Physics
7 Israel Journal of Mathematics
7 Physica A
7 Theoretical and Mathematical Physics
7 Geometriae Dedicata
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Astrophysics and Space Science
6 Bulletin of the Australian Mathematical Society
6 Journal of the Franklin Institute
6 Moscow University Mathematics Bulletin
6 Nuclear Physics. B
6 Reports on Mathematical Physics
6 Ukrainian Mathematical Journal
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Bulletin de la Société Mathématique de France
6 Functional Analysis and its Applications
6 Journal of Geometry
...and 422 more Serials
all top 5

Cited in 63 Fields

827 Dynamical systems and ergodic theory (37-XX)
408 Ordinary differential equations (34-XX)
408 Mechanics of particles and systems (70-XX)
289 Operator theory (47-XX)
234 Combinatorics (05-XX)
164 Differential geometry (53-XX)
127 Partial differential equations (35-XX)
116 Difference and functional equations (39-XX)
101 Numerical analysis (65-XX)
96 Number theory (11-XX)
96 Functions of a complex variable (30-XX)
89 Relativity and gravitational theory (83-XX)
88 Quantum theory (81-XX)
84 Functional analysis (46-XX)
83 Global analysis, analysis on manifolds (58-XX)
78 General topology (54-XX)
65 History and biography (01-XX)
62 Probability theory and stochastic processes (60-XX)
60 Approximations and expansions (41-XX)
57 Computer science (68-XX)
53 Harmonic analysis on Euclidean spaces (42-XX)
52 Statistical mechanics, structure of matter (82-XX)
49 Several complex variables and analytic spaces (32-XX)
48 Manifolds and cell complexes (57-XX)
38 Measure and integration (28-XX)
38 Special functions (33-XX)
38 Systems theory; control (93-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
36 Fluid mechanics (76-XX)
34 Real functions (26-XX)
34 Convex and discrete geometry (52-XX)
33 Group theory and generalizations (20-XX)
31 Algebraic geometry (14-XX)
30 Geometry (51-XX)
28 Topological groups, Lie groups (22-XX)
26 Abstract harmonic analysis (43-XX)
26 Mechanics of deformable solids (74-XX)
24 General and overarching topics; collections (00-XX)
24 Mathematical logic and foundations (03-XX)
24 Algebraic topology (55-XX)
22 Field theory and polynomials (12-XX)
22 Biology and other natural sciences (92-XX)
20 Order, lattices, ordered algebraic structures (06-XX)
20 Astronomy and astrophysics (85-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
18 Statistics (62-XX)
18 Information and communication theory, circuits (94-XX)
12 Nonassociative rings and algebras (17-XX)
11 Associative rings and algebras (16-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Sequences, series, summability (40-XX)
10 Integral equations (45-XX)
9 Potential theory (31-XX)
8 Integral transforms, operational calculus (44-XX)
8 Operations research, mathematical programming (90-XX)
7 Commutative algebra (13-XX)
6 Category theory; homological algebra (18-XX)
6 Optics, electromagnetic theory (78-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Mathematics education (97-XX)
2 Geophysics (86-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.