# zbMATH — the first resource for mathematics

## Proceedings of the National Academy of Sciences of the United States of America

 Short Title: Proc. Natl. Acad. Sci. USA Publisher: National Academy of Sciences, Washington, DC ISSN: 0027-8424; 1091-6490/e Online: https://www.pnas.org/content/by/year
 Documents indexed: 4,947 Publications (since 1915) References indexed: 718 Publications with 15,705 References
all top 5

#### Latest Issues

 117, No. 12 (2020) 117, No. 11 (2020) 117, No. 10 (2020) 117, No. 9 (2020) 117, No. 8 (2020) 117, No. 7 (2020) 117, No. 6 (2020) 117, No. 5 (2020) 117, No. 4 (2020) 117, No. 3 (2020) 117, No. 2 (2020) 117, No. 1 (2020) 116, No. 52 (2019) 116, No. 51 (2019) 116, No. 50 (2019) 116, No. 48 (2019) 116, No. 47 (2019) 116, No. 46 (2019) 116, No. 45 (2019) 116, No. 44 (2019) 116, No. 43 (2019) 116, No. 42 (2019) 116, No. 40 (2019) 116, No. 39 (2019) 116, No. 38 (2019) 116, No. 37 (2019) 116, No. 36 (2019) 116, No. 34 (2019) 116, No. 32 (2019) 116, No. 31 (2019) 116, No. 30 (2019) 116, No. 29 (2019) 116, No. 28 (2019) 116, No. 23 (2019) 116, No. 21 (2019) 116, No. 20 (2019) 116, No. 19 (2019) 116, No. 18 (2019) 116, No. 17 (2019) 116, No. 16 (2019) 116, No. 14 (2019) 116, No. 13 (2019) 116, No. 12 (2019) 116, No. 10 (2019) 116, No. 8 (2019) 116, No. 7 (2019) 116, No. 6 (2019) 116, No. 5 (2019) 116, No. 4 (2019) 116, No. 3 (2019) 116, No. 2 (2019) 116, No. 1 (2019) 115, No. 51 (2018) 115, No. 46 (2018) 115, No. 44 (2018) 115, No. 43 (2018) 115, No. 42 (2018) 115, No. 41 (2018) 115, No. 40 (2018) 115, No. 39 (2018) 115, No. 38 (2018) 115, No. 37 (2018) 115, No. 36 (2018) 115, No. 35 (2018) 115, No. 34 (2018) 115, No. 33 (2018) 115, No. 30 (2018) 115, No. 29 (2018) 115, No. 28 (2018) 115, No. 27 (2018) 115, No. 26 (2018) 115, No. 24 (2018) 115, No. 23 (2018) 115, No. 22 (2018) 115, No. 21 (2018) 115, No. 19 (2018) 115, No. 18 (2018) 115, No. 17 (2018) 115, No. 16 (2018) 115, No. 13 (2018) 115, No. 11 (2018) 115, No. 10 (2018) 115, No. 8 (2018) 115, No. 7 (2018) 115, No. 6 (2018) 115, No. 5 (2018) 115, No. 4 (2018) 115, No. 3 (2018) 115, No. 1 (2018) 114, No. 51 (2017) 114, No. 49 (2017) 114, No. 47 (2017) 114, No. 46 (2017) 114, No. 45 (2017) 114, No. 44 (2017) 114, No. 43 (2017) 114, No. 41 (2017) 114, No. 40 (2017) 114, No. 38 (2017) 114, No. 35 (2017) ...and 652 more Volumes
all top 5

#### Authors

 185 Miller, George Abram 80 Vandiver, Harry Schultz 67 Kasner, Edward 58 Walsh, Joseph Leonard 54 Thomas, Tracy Yerkes 53 Bellman, Richard Ernest 46 Morse, Marston 46 Murnaghan, Francis Dominic 43 de Cicco, John 41 Eisenhart, Luther Pfahler 39 Douglas, Jesse 37 Majda, Andrew J. 36 Bochner, Salomon 35 Bateman, Harry 35 Robbins, Herbert Ellis 34 Michal, Aristotle Demetrius 33 Browder, Felix Earl 33 Wilson, Edwin Bidwell 28 Hille, Einar 28 Moore, Robert Lee 24 Alexander, James Waddell 24 Birkhoff, George David 22 Whyburn, Gordon Thomas 21 Stein, Elias Menachem 21 Veblen, Oswald 20 Epstein, Paul Sophus 19 Kimura, Motoo 19 Lefschetz, Solomon 19 von Neumann, John 19 Whitney, Hassler 19 Wintner, Aurel 18 Albert, Abraham Adrian 18 Kalaba, Robert E. 18 Menger, Karl 18 Pekeris, Chaim Leib 18 Tolman, Richard Chace 17 Courant, Richard 16 Fefferman, Charles Louis 16 Mac Lane, Leslie Saunders 16 Samuelson, Paul Anthony 16 Spencer, Donald Clayton 16 Tamarkin, Jacob David 15 Bell, Eric Temple 15 Birkhoff, Garrett 15 Brauer, Richard 15 Chandrasekhar, Subrahmanyan 14 Barenblatt, Grigory Isaakovich 14 Chorin, Alexandre Joel 14 Karlin, Samuel 14 Kodaira, Kunihiko 14 Levinson, Norman 14 Thomas, Joseph Miller 14 Uhler, Horace Scudder 14 Widder, David Vernon 13 Evans, Griffith Conrad 13 Harish-Chandra 13 Kostant, Bertram 13 Rota, Gian-Carlo 13 Schwinger, Julian Seymore 13 Sternberg, Shlomo 13 Stone, Marshall Harvey 12 Eilenberg, Samuel 12 Huntington, Edward Vermilye 12 Sethian, James A. 11 Bagemihl, Frederick 11 Chowla, Sarvadaman 11 Chudnovsky, Gregory V. 11 Seidel, Wladimir 11 Smith, Paul Althaus 10 Cordoba, Diego 10 Kadison, Richard Vincent 10 Luyten, Willem Jacob 10 Nagylaki, Thomas 10 Ono, Ken 10 Rao, Calyampudi Radhakrishna 10 Rosenblatt, Murray 10 Trjitzinsky, Waldemar Joseph 10 Worcester, Jane 9 Chudnovsky, David V. 9 Duffin, Richard James 9 Hirschfelder, Joseph O. 9 Lai, Tze Leung 9 Motzkin, Theodore Samuel 9 Rainich, George Yuri 9 Ritt, Joseph Fels 9 Shapley, Harlow 9 Shiffman, Max 9 Ward, Morgan 9 Whitehead, John Henry Constantine 9 Wiener, Norbert 8 Boas, Ralph Philip jun. 8 Buerger, Martin J. 8 Chern, Shiing-Shen 8 Eyring, Henry 8 Fubini, Guido 8 Hua, Loo-Keng 8 Igusa, Jun-ichi 8 Jacobson, Nathan 8 Knebelman, Morris Samuel 8 Moore, Charles Napoleon ...and 4,037 more Authors
all top 5

#### Fields

 371 Biology and other natural sciences (92-XX) 265 Statistics (62-XX) 154 Probability theory and stochastic processes (60-XX) 151 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 144 Number theory (11-XX) 143 Fluid mechanics (76-XX) 134 Partial differential equations (35-XX) 121 Quantum theory (81-XX) 110 Statistical mechanics, structure of matter (82-XX) 96 Differential geometry (53-XX) 88 Dynamical systems and ergodic theory (37-XX) 86 Combinatorics (05-XX) 86 Computer science (68-XX) 76 Manifolds and cell complexes (57-XX) 69 Numerical analysis (65-XX) 60 Group theory and generalizations (20-XX) 59 Algebraic geometry (14-XX) 59 Operations research, mathematical programming (90-XX) 59 Information and communication theory, circuits (94-XX) 57 Functional analysis (46-XX) 53 Nonassociative rings and algebras (17-XX) 50 Topological groups, Lie groups (22-XX) 47 Mechanics of deformable solids (74-XX) 46 Operator theory (47-XX) 44 Global analysis, analysis on manifolds (58-XX) 41 Geophysics (86-XX) 36 Algebraic topology (55-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 33 Several complex variables and analytic spaces (32-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 29 Ordinary differential equations (34-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 27 Systems theory; control (93-XX) 26 Mathematical logic and foundations (03-XX) 24 Associative rings and algebras (16-XX) 24 Measure and integration (28-XX) 20 History and biography (01-XX) 20 Special functions (33-XX) 19 Mechanics of particles and systems (70-XX) 18 Commutative algebra (13-XX) 18 Category theory; homological algebra (18-XX) 18 Convex and discrete geometry (52-XX) 17 General and overarching topics; collections (00-XX) 17 Functions of a complex variable (30-XX) 17 Abstract harmonic analysis (43-XX) 16 Approximations and expansions (41-XX) 16 Relativity and gravitational theory (83-XX) 15 General topology (54-XX) 14 Astronomy and astrophysics (85-XX) 13 Geometry (51-XX) 12 Field theory and polynomials (12-XX) 12 Difference and functional equations (39-XX) 11 Potential theory (31-XX) 10 Real functions (26-XX) 10 Integral transforms, operational calculus (44-XX) 9 Optics, electromagnetic theory (78-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Integral equations (45-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 3 Sequences, series, summability (40-XX) 2 $$K$$-theory (19-XX)

#### Citations contained in zbMATH Open

Loading citation profile