## SageMath

 swMATH ID: 825 Software Authors: The Sage Developers; William Stein; David Joyner; David Kohel; John Cremona; Eröcal, Burçin Description: Sage (SageMath) is free, open-source math software that supports research and teaching in algebra, geometry, number theory, cryptography, numerical computation, and related areas. Both the Sage development model and the technology in Sage itself are distinguished by an extremely strong emphasis on openness, community, cooperation, and collaboration: we are building the car, not reinventing the wheel. The overall goal of Sage is to create a viable, free, open-source alternative to Maple, Mathematica, Magma, and MATLAB. Computer algebra system (CAS). Homepage: http://www.sagemath.org Keywords: orms; Python; Cython; Sage; Open Source; Interfaces Related Software: Magma; GAP; OEIS; SINGULAR; Sage-Combinat; PARI/GP; GitHub; Macaulay2; Mathematica; Maple; Python; LMFDB; ecdata; nauty; Maxima; Matlab; SciPy; Gfan; DLMF; FLINT Referenced in: 2,025 Publications This software is also referenced in ORMS. Further Publications: http://www.sagemath.org/library-publications.html
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### Referenced by 2,935 Authors

 31 Scrimshaw, Travis 24 Schilling, Anne 16 Balakrishnan, Jennifer S. 16 Joyner, David 14 Das, Kinkar Chandra 12 Heuberger, Clemens 12 Zabrocki, Mike 11 Albrecht, Martin R. 11 Salisbury, Ben 11 Tibouchi, Mehdi 10 Köppe, Matthias 10 Saliola, Franco V. 10 Stein, William A. 10 Tengely, Szabolcs 9 Berg, Chris 9 Bernstein, Daniel Julius 9 Coron, Jean-Sébastien 9 Lange, Tanja 9 Lobillo, Francisco Javier 9 O’Neill, Christopher 9 Raum, Martin 9 Thiéry, Nicolas Marc 8 Bergeron, Nantel 8 Gómez Torrecillas, José 8 Grinberg, Darij 8 Guitart, Xavier 8 He, Yang-Hui Evariste 8 Musiker, Gregg 8 Navarro, Gabriel 8 Sarkar, Santanu 8 Stange, Katherine E. 8 Stump, Christian 7 Blondin Massé, Alexandre 7 Boussicault, Adrien 7 Cremona, John E. 7 De Bruyn, Bart 7 Krenn, Daniel 7 Naccache, David 7 Ryan, Nathan C. 7 Vaccon, Tristan 6 Artal Bartolo, Enrique 6 Botana, Francisco 6 Braun, Volker 6 De Feo, Luca 6 García-Etxebarria, Iñaki 6 Ghitza, Alexandru 6 Giraudo, Samuele 6 González-Jiménez, Enrique 6 Göral, Haydar 6 Grout, Jason 6 Kedlaya, Kiran Sridhara 6 Klee, Steven 6 Labbé, Jean-Philippe 6 Lee, Kyu-Hwan 6 Marco-Buzunáriz, Miguel A. 6 Masdeu, Marc 6 Morales, Alejandro Henry 6 Orellana, Rosa C. 6 Perrin, Léo 6 Perucca, Antonella 6 Pilaud, Vincent 6 Prodinger, Helmut 6 Sertbaş, Doğa Can 6 Streng, Marco 6 Sutherland, Andrew V. 6 Tabera, Luis Felipe 6 Wuthrich, Christian 6 Zhou, Yuan 5 Angella, Daniele 5 Aval, Jean-Christophe 5 Ayyer, Arvind 5 Brlek, Srečko 5 Ceballos, Cesar 5 Cooper, Joshua N. 5 Dunfield, Nathan M. 5 Faugère, Jean-Charles 5 Fernique, Thomas 5 García Puente, Luis David 5 Gillespie, Maria Monks 5 Godsil, Christopher David 5 Hampton, Marshall 5 Harvey, David I. 5 Hivert, Florent 5 Hogben, Leslie 5 Hopkins, Samuel Francis 5 Hutz, Benjamin 5 Johansson, Fredrik 5 Kauers, Manuel 5 Knauer, Kolja B. 5 Kohlhase, Michael 5 Kropf, Sara 5 Krumm, David 5 Labbé, Sébastien 5 Levandovskyy, Viktor 5 Lubbes, Niels 5 Maitra, Subhamoy 5 Martínez-Moro, Edgar 5 Müller, Jan Steffen 5 Muntingh, Georg 5 Pasechnik, Dmitrii V. ...and 2,835 more Authors
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### Referenced in 389 Serials

 70 Journal of Number Theory 59 The Electronic Journal of Combinatorics 57 Mathematics of Computation 56 Journal of High Energy Physics 45 Journal of Symbolic Computation 43 Journal of Algebra 41 Linear Algebra and its Applications 37 Séminaire Lotharingien de Combinatoire 34 Transactions of the American Mathematical Society 32 Journal of Combinatorial Theory. Series A 31 Designs, Codes and Cryptography 30 Discrete Mathematics 30 International Journal of Number Theory 29 Journal of Algebraic Combinatorics 27 Proceedings of the American Mathematical Society 25 Acta Arithmetica 23 Annals of Combinatorics 22 Advances in Mathematics 22 Experimental Mathematics 19 Advances in Applied Mathematics 19 The Ramanujan Journal 18 Theoretical Computer Science 17 European Journal of Combinatorics 17 Finite Fields and their Applications 17 Research in Number Theory 15 Discrete Applied Mathematics 15 Journal of Pure and Applied Algebra 15 Mathematische Zeitschrift 15 Discrete & Computational Geometry 15 Algebraic Combinatorics 13 SIAM Journal on Discrete Mathematics 12 Communications in Mathematical Physics 12 Journal de Théorie des Nombres de Bordeaux 12 Integers 11 Applicable Algebra in Engineering, Communication and Computing 11 Algebras and Representation Theory 11 Mathematics in Computer Science 10 Israel Journal of Mathematics 10 ELA. The Electronic Journal of Linear Algebra 10 LMS Journal of Computation and Mathematics 10 Advances in Mathematics of Communications 9 Annales de l’Institut Fourier 9 The Australasian Journal of Combinatorics 9 Journal of Integer Sequences 9 SIAM Journal on Applied Algebra and Geometry 8 Rocky Mountain Journal of Mathematics 8 Canadian Journal of Mathematics 8 Proceedings of the London Mathematical Society. Third Series 8 Journal of Algebra and its Applications 8 Journal of Mathematical Cryptology 8 Tbilisi Mathematical Journal 8 Research in the Mathematical Sciences 7 Graphs and Combinatorics 7 IMRN. International Mathematics Research Notices 7 ACM Communications in Computer Algebra 6 Communications in Algebra 6 Nuclear Physics. B 6 Compositio Mathematica 6 Duke Mathematical Journal 6 Functiones et Approximatio. Commentarii Mathematici 6 Geometriae Dedicata 6 Journal of Combinatorial Theory. Series B 6 Journal für die Reine und Angewandte Mathematik 6 Monatshefte für Mathematik 6 Selecta Mathematica. New Series 6 Transformation Groups 6 Discrete Mathematics and Theoretical Computer Science. DMTCS 6 Ars Mathematica Contemporanea 5 American Mathematical Monthly 5 Periodica Mathematica Hungarica 5 Journal of the London Mathematical Society. Second Series 5 Algorithmica 5 Revista Matemática Iberoamericana 5 Bulletin of the American Mathematical Society. New Series 5 The New York Journal of Mathematics 5 Documenta Mathematica 5 Foundations of Computational Mathematics 5 Involve 5 Cryptography and Communications 4 Journal of Computational Physics 4 Journal of Mathematical Biology 4 Bulletin of Mathematical Biology 4 Beiträge zur Algebra und Geometrie 4 ACM Transactions on Mathematical Software 4 Applied Mathematics and Computation 4 Journal of Graph Theory 4 Mathematische Annalen 4 Bulletin of the Korean Mathematical Society 4 Computer Aided Geometric Design 4 Journal of Cryptology 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Notices of the American Mathematical Society 4 Journal of Mathematical Sciences (New York) 4 Journal of the European Mathematical Society (JEMS) 4 Advances in Geometry 4 Algebraic & Geometric Topology 4 JP Journal of Algebra, Number Theory and Applications 4 Journal of Singularities 4 Kyoto Journal of Mathematics 4 Forum of Mathematics, Sigma ...and 289 more Serials
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### Referenced in 60 Fields

 663 Number theory (11-XX) 570 Combinatorics (05-XX) 418 Algebraic geometry (14-XX) 242 Computer science (68-XX) 199 Group theory and generalizations (20-XX) 185 Information and communication theory, circuits (94-XX) 124 Convex and discrete geometry (52-XX) 105 Quantum theory (81-XX) 103 Commutative algebra (13-XX) 87 Nonassociative rings and algebras (17-XX) 68 Numerical analysis (65-XX) 66 Dynamical systems and ergodic theory (37-XX) 60 Linear and multilinear algebra; matrix theory (15-XX) 58 Operations research, mathematical programming (90-XX) 53 Order, lattices, ordered algebraic structures (06-XX) 53 Associative rings and algebras (16-XX) 52 Manifolds and cell complexes (57-XX) 46 Differential geometry (53-XX) 43 Probability theory and stochastic processes (60-XX) 39 Geometry (51-XX) 37 Field theory and polynomials (12-XX) 36 Several complex variables and analytic spaces (32-XX) 33 Topological groups, Lie groups (22-XX) 32 Biology and other natural sciences (92-XX) 30 Relativity and gravitational theory (83-XX) 25 General and overarching topics; collections (00-XX) 24 Special functions (33-XX) 22 Algebraic topology (55-XX) 20 Mechanics of particles and systems (70-XX) 20 Statistical mechanics, structure of matter (82-XX) 18 Partial differential equations (35-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Statistics (62-XX) 14 Functions of a complex variable (30-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Category theory; homological algebra (18-XX) 12 Mathematics education (97-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Ordinary differential equations (34-XX) 9 Mathematical logic and foundations (03-XX) 8 Fluid mechanics (76-XX) 7 Approximations and expansions (41-XX) 6 Real functions (26-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 4 History and biography (01-XX) 4 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 3 $$K$$-theory (19-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 2 Measure and integration (28-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Astronomy and astrophysics (85-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)