SageMath swMATH ID: 825 Software Authors: The Sage Developers; Stein, William; Joyner, David; Kohel, David; Cremona, John; 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 Source Code: https://github.com/sagemath/sage Keywords: orms; Python; Cython; Sage; Open Source; Interfaces Related Software: Magma; GAP; GitHub; OEIS; PARI/GP; SINGULAR; Sage-Combinat; Macaulay2; Mathematica; Maple; LMFDB; Python; ecdata; nauty; Traces; Maxima; DLMF; Gfan; MathOverflow; SciPy Cited in: 2,792 Documents This software is also referenced in ORMS. Further Publications: http://www.sagemath.org/library-publications.html Standard Articles 7 Publications describing the Software, including 7 Publications in zbMATH Year Computational mathematics with SageMath. Translated from the 2013 French original by the authors. Zbl 1434.65001Zimmermann, Paul; Casamayou, Alexandre; Cohen, Nathann; Connan, Guillaume; Dumont, Thierry; Fousse, Laurent; Maltey, François; Meulien, Matthias; Mezzarobba, Marc; Pernet, Clément; Thiéry, Nicolas M.; Bray, Eric; Cremona, John; Forets, Marcelo; Ghitza, Alexandru; Thomas, Hugh 2019 Sage for undergraduates. Zbl 1360.65001Bard, Gregory V. 2015 Sage: creating a viable free open source alternative to Magma, Maple, Mathematica, and MATLAB. Zbl 1316.65123Stein, William 2013 Sage: a basic overview for coding theory and cryptography. Zbl 1352.94002Joyner, David 2013 SAGE for number theorists. Zbl 1268.11160Kimura, Iwao 2012 The Sage project: unifying free mathematical software to create a viable alternative to Magma, Maple, Mathematica and Matlab. Zbl 1295.68225Eröcal, Burçin; Stein, William 2010 Group theory in SAGE. Zbl 1168.20004Joyner, David; Kohel, David 2008 all top 5 Cited by 4,052 Authors 38 Scrimshaw, Travis 24 Schilling, Anne 21 Das, Kinkar Chandra 17 Balakrishnan, Jennifer S. 16 Joyner, David 12 Albrecht, Martin R. 12 Heuberger, Clemens 12 Raum, Martin 12 Saliola, Franco V. 12 Zabrocki, Mike 11 Grinberg, Darij 11 Salisbury, Ben 11 Tengely, Szabolcs 11 Tibouchi, Mehdi 10 Artal Bartolo, Enrique 10 Bernstein, Daniel Julius 10 Coron, Jean-Sébastien 10 Göral, Haydar 10 He, Yang-Hui Evariste 10 Kedlaya, Kiran Sridhara 10 Köppe, Matthias 10 Lange, Tanja 10 Lobillo, Francisco Javier 10 Morales, Alejandro Henry 10 Neumann, Victor G. L. 10 Stein, William A. 10 Striker, Jessica 10 Sutherland, Andrew V. 10 Thiéry, Nicolas Marc 9 Berg, Chris 9 Bergeron, Nantel 9 Cremona, John E. 9 De Bruyn, Bart 9 Gómez Torrecillas, José 9 Navarro, Gabriel 9 O’Neill, Christopher 9 Razafimahatratra, Andriaherimanana Sarobidy 9 Ryan, Nathan C. 9 Sarkar, Santanu 9 Stange, Katherine E. 9 Streng, Marco 9 Vaccon, Tristan 8 Guitart, Xavier 8 Labbé, Sébastien 8 Maitra, Subhamoy 8 Marco-Buzunáriz, Miguel A. 8 Musiker, Gregg 8 Perucca, Antonella 8 Prasad, Amritanshu 8 Sertbaş, Doğa Can 8 Stump, Christian 8 Ziegler, Volker 7 Averkov, Gennadiy 7 Blondin Massé, Alexandre 7 Boussicault, Adrien 7 Cooper, Joshua N. 7 Fernique, Thomas 7 García-Etxebarria, Iñaki 7 Ghitza, Alexandru 7 Gillespie, Maria Monks 7 Hampton, Marshall 7 Jiménez-Pastor, Antonio 7 Klee, Steven 7 Krenn, Daniel 7 Labbé, Jean-Philippe 7 Lee, Kyu-Hwan 7 Lewis, Joel Brewster 7 Naccache, David 7 Pilaud, Vincent 7 Sirolli, Nicolás 7 Sturmfels, Bernd 6 Aval, Jean-Christophe 6 Ayyer, Arvind 6 Barrios, Alexander J. 6 Botana, Francisco 6 Brandhorst, Simon 6 Braun, Volker 6 Ceballos, Cesar 6 Celoria, Daniele 6 Costa, Edgar 6 De Feo, Luca 6 Douvropoulos, Theo 6 Féray, Valentin 6 Giraudo, Samuele 6 González-Jiménez, Enrique 6 Grout, Jason 6 Gunawan, Emily 6 Guo, Krystal 6 Hackl, Benjamin 6 Harvey, David 6 Hivert, Florent 6 Hopkins, Samuel Francis 6 Hutz, Benjamin 6 Kauers, Manuel 6 Knauer, Kolja B. 6 Lauter, Kristin Estella 6 Levandovskyy, Viktor 6 Lubbes, Niels 6 Martínez-Moro, Edgar 6 Masdeu, Marc ...and 3,952 more Authors all top 5 Cited in 469 Serials 85 Journal of Number Theory 79 Journal of High Energy Physics 70 Mathematics of Computation 69 The Electronic Journal of Combinatorics 60 Journal of Algebra 57 Journal of Symbolic Computation 48 Séminaire Lotharingien de Combinatoire 46 Linear Algebra and its Applications 41 International Journal of Number Theory 40 Designs, Codes and Cryptography 38 Discrete Mathematics 37 Transactions of the American Mathematical Society 35 Acta Arithmetica 35 Journal of Combinatorial Theory. Series A 35 Journal of Algebraic Combinatorics 35 Research in Number Theory 32 Proceedings of the American Mathematical Society 32 Experimental Mathematics 30 Advances in Mathematics 27 European Journal of Combinatorics 26 The Ramanujan Journal 26 Annals of Combinatorics 26 Algebraic Combinatorics 24 Finite Fields and their Applications 23 Journal of Pure and Applied Algebra 21 Discrete Applied Mathematics 21 ACM Communications in Computer Algebra 20 Mathematische Zeitschrift 20 Theoretical Computer Science 20 Advances in Applied Mathematics 18 Discrete & Computational Geometry 18 SIAM Journal on Discrete Mathematics 16 Journal de Théorie des Nombres de Bordeaux 16 Integers 16 Advances in Mathematics of Communications 15 Algebras and Representation Theory 14 Communications in Algebra 14 Communications in Mathematical Physics 14 Journal of the London Mathematical Society. Second Series 14 The Australasian Journal of Combinatorics 14 Journal of Algebra and its Applications 13 Rocky Mountain Journal of Mathematics 13 Applicable Algebra in Engineering, Communication and Computing 12 Journal of Integer Sequences 11 Israel Journal of Mathematics 11 Annales de l’Institut Fourier 11 Geometriae Dedicata 11 Proceedings of the London Mathematical Society. Third Series 11 ELA. The Electronic Journal of Linear Algebra 11 Mathematics in Computer Science 11 Combinatorial Theory 10 Bulletin of the London Mathematical Society 10 IMRN. International Mathematics Research Notices 10 Selecta Mathematica. New Series 10 LMS Journal of Computation and Mathematics 10 Journal of Mathematical Cryptology 10 Forum of Mathematics, Sigma 10 SIAM Journal on Applied Algebra and Geometry 9 Graphs and Combinatorics 9 Research in the Mathematical Sciences 8 Canadian Journal of Mathematics 8 Compositio Mathematica 8 Journal für die Reine und Angewandte Mathematik 8 Manuscripta Mathematica 8 Discrete Mathematics and Theoretical Computer Science. DMTCS 8 Tbilisi Mathematical Journal 8 Ars Mathematica Contemporanea 7 Nuclear Physics. B 7 ACM Transactions on Mathematical Software 7 Applied Mathematics and Computation 7 Functiones et Approximatio. Commentarii Mathematici 7 Journal of Combinatorial Theory. Series B 7 Journal of Graph Theory 7 Monatshefte für Mathematik 7 Journal of Knot Theory and its Ramifications 7 Documenta Mathematica 7 Transformation Groups 7 Cryptography and Communications 6 American Mathematical Monthly 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Archiv der Mathematik 6 Duke Mathematical Journal 6 Mathematische Annalen 6 Mathematische Nachrichten 6 Topology and its Applications 6 Bulletin of the Korean Mathematical Society 6 Journal of Cryptology 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 The New York Journal of Mathematics 6 Foundations of Computational Mathematics 6 Journal of Physics A: Mathematical and Theoretical 6 Annales Mathématiques du Québec 6 European Journal of Mathematics 5 Periodica Mathematica Hungarica 5 Journal of Geometry and Physics 5 Algorithmica 5 Revista Matemática Iberoamericana 5 Bulletin of the American Mathematical Society. New Series 5 Expositiones Mathematicae 5 Journal of Algebraic Geometry ...and 369 more Serials all top 5 Cited in 61 Fields 942 Number theory (11-XX) 780 Combinatorics (05-XX) 593 Algebraic geometry (14-XX) 319 Computer science (68-XX) 276 Group theory and generalizations (20-XX) 273 Information and communication theory, circuits (94-XX) 174 Convex and discrete geometry (52-XX) 159 Quantum theory (81-XX) 134 Commutative algebra (13-XX) 113 Nonassociative rings and algebras (17-XX) 84 Associative rings and algebras (16-XX) 83 Dynamical systems and ergodic theory (37-XX) 82 Linear and multilinear algebra; matrix theory (15-XX) 82 Numerical analysis (65-XX) 82 Operations research, mathematical programming (90-XX) 80 Order, lattices, ordered algebraic structures (06-XX) 80 Manifolds and cell complexes (57-XX) 60 Field theory and polynomials (12-XX) 56 Probability theory and stochastic processes (60-XX) 54 Differential geometry (53-XX) 53 Geometry (51-XX) 49 Biology and other natural sciences (92-XX) 48 Several complex variables and analytic spaces (32-XX) 42 Topological groups, Lie groups (22-XX) 40 Relativity and gravitational theory (83-XX) 36 Algebraic topology (55-XX) 32 Special functions (33-XX) 28 Mechanics of particles and systems (70-XX) 26 General and overarching topics; collections (00-XX) 25 Functions of a complex variable (30-XX) 24 Statistics (62-XX) 24 Statistical mechanics, structure of matter (82-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Partial differential equations (35-XX) 19 Category theory; homological algebra (18-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 Ordinary differential equations (34-XX) 13 Mathematical logic and foundations (03-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Mathematics education (97-XX) 11 Real functions (26-XX) 11 Fluid mechanics (76-XX) 10 Operator theory (47-XX) 9 Approximations and expansions (41-XX) 8 \(K\)-theory (19-XX) 8 Systems theory; control (93-XX) 6 Difference and functional equations (39-XX) 6 Functional analysis (46-XX) 4 History and biography (01-XX) 4 Measure and integration (28-XX) 4 Sequences, series, summability (40-XX) 4 Integral transforms, operational calculus (44-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 2 Astronomy and astrophysics (85-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year