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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
130 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

41 Publications have been cited 792 times in 717 Documents Cited by Year
Dynamical systems. First printing of revised edition. Zbl 0171.05402
Birkhoff, G. D.
245
1966
Proof of the ergodic theorem. Zbl 0003.25602
Birkhoff, George D.
80
1931
Chromatic polynomials. Zbl 0060.41601
Birkhoff, George D.; Lewis, D. C.
80
1946
Collected mathematical papers. Vols. I, II, III. Zbl 0041.34201
Birkhoff, George D.
49
1950
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.
34
1933
Proof of a recurrence theorem for strongly transitive systems. Zbl 0003.25601
Birkhoff, George D.
21
1931
Quantum mechanics and asymptotic series. I. Zbl 0008.08902
Birkhoff, G. D.
20
1933
Sur quelques courbes fermées remarquables. Zbl 0005.22002
Birkhoff, George D.
20
1932
Collected mathematical papers. Vols I, II, III. Zbl 0225.01009
Birkhoff, George D.
18
1968
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
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
Matter, electricity and gravitation in flat space-time. Zbl 0061.47004
Birkhoff, George D.
12
1943
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
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
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
Fifty years of American mathematics. Zbl 0019.24307
Birkhoff, George D.
5
1938
Generalized minimax principle in the calculus of variations. Zbl 0013.17101
Birkhoff, G. D.; Hestenes, M. R.
5
1935
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
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
Déformations analytiques et fonctions auto-équivalentes. Zbl 0063.00405
Birkhoff, George D.
4
1939
Sur l’existence de regions d’instabilite en dynamique. Zbl 0005.22103
Birkhoff, George D.
3
1932
Sur le problème restreint des trois corps. (I. mem.). Zbl 0012.12804
Birkhoff, George D.
3
1935
Natural isoperimetric conditions in the calculus of variations. Zbl 0011.16701
Birkhoff, G. D.; Hestenes, M. R.
3
1935
The mathematical nature of physical theories. Zbl 0061.00609
Birkhoff, George D.
3
1943
The principle of sufficient reason. Zbl 0063.00407
Birkhoff, George D.
3
1941
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
Distributive postulates for systems like Boolean algebras. Zbl 0060.05810
Birkhoff, George D.; Birkhoff, Garrett
3
1946
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
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
General ergodic theorems. Zbl 0022.36103
Alaoglu, L.; Birkhoff, G.
1
1939
Collected mathematical papers. Vols. I, II, III. Zbl 0045.14802
Birkhoff, George D.
1
1951
A mathematical critique of some physical theories. Zbl 1010.01520
Birkhoff, G. D.
1
2000
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.
245
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.
49
1950
Chromatic polynomials. Zbl 0060.41601
Birkhoff, George D.; Lewis, D. C.
80
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
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
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
Fifty years of American mathematics. Zbl 0019.24307
Birkhoff, George D.
5
1938
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. (I. mem.). Zbl 0012.12804
Birkhoff, George D.
3
1935
Natural isoperimetric conditions in the calculus of variations. Zbl 0011.16701
Birkhoff, G. D.; Hestenes, M. R.
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. 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
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.
34
1933
Quantum mechanics and asymptotic series. I. Zbl 0008.08902
Birkhoff, G. D.
20
1933
Some remarks concerning Schrödinger’s wave equation. Zbl 0006.30802
Birkhoff, George D.
7
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
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
Sur l’existence de regions d’instabilite en dynamique. Zbl 0005.22103
Birkhoff, George D.
3
1932
Proof of the ergodic theorem. Zbl 0003.25602
Birkhoff, George D.
80
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
A mathematical approach to aesthetics. Zbl 0002.17703
Birkhoff, George D.
2
1931
all top 5

Cited by 904 Authors

18 Markeev, Anatoliĭ Pavlovich
11 Bardin, Boris Sabirovich
10 Blokhin, Aleksandr Mikhaĭlovich
10 Tkachev, Dmitriĭ Leonidovich
7 Dong, Fengming
5 Chekina, Evgeniya Alekseevna
5 Kozlov, Valeriĭ Vasil’evich
5 Reid, William T.
5 Trjitzinsky, Waldemar Joseph
5 Wimp, Jet
4 Akimoto, Takuma
4 Biasco, Luca
4 Fayad, Bassam R.
4 Fonda, Alessandro
4 Holmes, Philip J.
4 Kaloshin, Vadim Yu.
4 Le Calvez, Patrice
4 Meyer, Kenneth R.
4 Ramírez-Ros, Rafael
4 Scorza Dragoni, Giuseppe
4 Sokol’skiĭ, Andreĭ Georgievich
4 Thomassen, Carsten
4 Wong, Roderick Sue-Chuen
4 Zanolin, Fabio
4 Zarmi, Yair
3 D’Aniello, Emma
3 Donnelly, John B.
3 Giorgilli, Antonio
3 Jacobs, Konrad
3 Jacobsen, Jesper Lykke
3 Llibre, Jaume
3 MacKay, Robert Sinclair
3 Mather, John N.
3 Molzahn, F. H.
3 Namachchivaya, N. Sri
3 Postle, Luke
3 Radin, Charles
3 Ramis, Jean-Pierre
3 Rosendal, Christian
3 Tao, Terence
3 Tkhaĭ, Valentin Nikolaevich
3 Wang, Qiudong
3 Woodall, Douglas R.
3 Yegitov, A. V.
3 Yorke, James Alan
3 Żołądek, Henryk
2 Abenda, Simonetta
2 Aizawa, Yōji
2 Albertson, Michael O.
2 Arnaud, Marie-Claude
2 Barrow-Green, June Elizabeth
2 Batkhin, Alexandr B.
2 Beraha, Sami
2 Berger, Pierre
2 Bernstein, David
2 Berrizbeitia, Pedro
2 Bessenyei, Mihály
2 Birkhoff, Garrett
2 Bounemoura, Abed Bounemoura
2 Boutry, Pierre
2 Brown, Jason Ira
2 Cabral, Hildeberto Eulalio
2 Cangul, Ismail Naci
2 Cautis, Sabin
2 Çevik, Ahmet Sinan
2 Chekanov, N. A.
2 Chen, Guanrong
2 Copeland, Arthur H. sen.
2 Das, Ruchi
2 Di Gregorio, Laura
2 Duan, Huagui
2 Endler, Antônio
2 Farber, Michael S.
2 Farré, Gerard
2 Felmer, Patricio L.
2 Fomenko, Anatoliĭ Timofeevich
2 Friston, Karl J.
2 Fujiwara, Daisuke
2 Gallas, Jason Alfredo Carlson
2 García Guirao, Juan Luis
2 Gasiorek, Sean
2 Giudici, Reinaldo E.
2 Gottschalk, Walter Helbig
2 Gupta, Suraj N.
2 Gutkin, Eugene
2 Hall, Dick Wick
2 Halmos, Paul Richard
2 Harris, William A. jun.
2 Hölder, Ernst
2 Hryniewicz, Umberto L.
2 Hunt, Brian R.
2 Ichtiaroglou, Simos
2 Ismail, Mourad El-Houssieny
2 Ito, Hidekazu
2 Jackson, Bill
2 Jackson, David M.
2 Jacobowitz, Howard
2 Jaeger, François
2 Jamneshan, Asgar
2 Kahane, Joseph
...and 804 more Authors
all top 5

Cited in 238 Serials

33 Physica D
31 Journal of Differential Equations
28 Journal of Applied Mathematics and Mechanics
27 Regular and Chaotic Dynamics
21 Journal of Mathematical Analysis and Applications
21 Journal of Combinatorial Theory. Series B
18 Transactions of the American Mathematical Society
16 Discrete Mathematics
14 Ergodic Theory and Dynamical Systems
12 Annals of Physics
12 Bulletin of the American Mathematical Society
11 Communications in Mathematical Physics
10 Proceedings of the American Mathematical Society
10 Topology and its Applications
9 Journal of Mathematical Physics
9 Advances in Mathematics
9 Duke Mathematical Journal
8 Chaos, Solitons and Fractals
8 Acta Mathematica
8 Russian Journal of Nonlinear Dynamics
7 Physics Letters. A
7 Applied Mathematics and Computation
7 Inventiones Mathematicae
6 Historia Mathematica
6 Nonlinear Analysis. Theory, Methods & Applications
5 Advances in Applied Mathematics
5 The Electronic Journal of Combinatorics
5 Journal of Difference Equations and Applications
4 Archive for Rational Mechanics and Analysis
4 Journal of Statistical Physics
4 Mathematical Notes
4 Nonlinearity
4 Journal of Geometry and Physics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Journal of Computational and Applied Mathematics
4 Mathematische Zeitschrift
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Bulletin of the American Mathematical Society. New Series
4 Journal of Mathematical Sciences (New York)
4 Analysis and Applications (Singapore)
4 Physical Review, II. Series
3 Archive for History of Exact Sciences
3 Computer Physics Communications
3 Journal of the Franklin Institute
3 Physica A
3 Theoretical and Mathematical Physics
3 Prikladnaya Matematika i Mekhanika
3 Bulletin de la Société Mathématique de France
3 Functional Analysis and its Applications
3 Journal of Geometry
3 Journal of Optimization Theory and Applications
3 Manuscripta Mathematica
3 Mathematische Annalen
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 SIAM Journal on Discrete Mathematics
3 Numerical Algorithms
3 Celestial Mechanics and Dynamical Astronomy
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Sbornik: Mathematics
3 Discrete and Continuous Dynamical Systems
3 Chaos
3 Communications in Nonlinear Science and Numerical Simulation
3 Discrete and Continuous Dynamical Systems. Series B
3 Advances in Difference Equations
3 Journal of Physics A: Mathematical and Theoretical
2 Journal of Mathematical Biology
2 Letters in Mathematical Physics
2 Reports on Mathematical Physics
2 Reviews of Modern Physics
2 Rocky Mountain Journal of Mathematics
2 Mathematics of Computation
2 The Mathematical Intelligencer
2 Geometriae Dedicata
2 Journal of Functional Analysis
2 Journal of Graph Theory
2 Journal of Number Theory
2 Theoretical Computer Science
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Numerical Mathematics
2 Journal of Symbolic Computation
2 Revista Matemática Iberoamericana
2 Journal of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Aequationes Mathematicae
2 Expositiones Mathematicae
2 Journal of Dynamics and Differential Equations
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Computational Complexity
2 Combinatorics, Probability and Computing
2 Doklady Mathematics
2 Nonlinear Dynamics
2 Abstract and Applied Analysis
2 Geometry & Topology
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Annals of Mathematics. Second Series
2 Erkenntnis
2 Journal of the European Mathematical Society (JEMS)
2 Forum Geometricorum
2 SIAM Journal on Applied Dynamical Systems
...and 138 more Serials
all top 5

Cited in 55 Fields

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

Citations by Year

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