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 Source Code: https://github.com/sagemath/sage Keywords: orms; Python; Cython; Sage; Open Source; Interfaces Related Software: Magma; GAP; OEIS; SINGULAR; GitHub; Sage-Combinat; PARI/GP; Mathematica; Macaulay2; Maple; Python; LMFDB; ecdata; nauty; Maxima; DLMF; Gfan; Matlab; Traces; SciPy Cited in: 2,176 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 3,165 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 Grinberg, Darij 10 Köppe, Matthias 10 Raum, Martin 10 Saliola, Franco V. 10 Stein, William A. 10 Tengely, Szabolcs 9 Berg, Chris 9 Bernstein, Daniel Julius 9 Coron, Jean-Sébastien 9 He, Yang-Hui Evariste 9 Lange, Tanja 9 Lobillo, Francisco Javier 9 O’Neill, Christopher 9 Thiéry, Nicolas Marc 8 Bergeron, Nantel 8 De Bruyn, Bart 8 Gómez Torrecillas, José 8 Göral, Haydar 8 Guitart, Xavier 8 Musiker, Gregg 8 Navarro, Gabriel 8 Sarkar, Santanu 8 Stange, Katherine E. 8 Stump, Christian 7 Artal Bartolo, Enrique 7 Blondin Massé, Alexandre 7 Boussicault, Adrien 7 Cremona, John E. 7 Hampton, Marshall 7 Kedlaya, Kiran Sridhara 7 Krenn, Daniel 7 Lee, Kyu-Hwan 7 Marco-Buzunáriz, Miguel A. 7 Morales, Alejandro Henry 7 Naccache, David 7 Ryan, Nathan C. 7 Sertbaş, Doğa Can 7 Streng, Marco 7 Sutherland, Andrew V. 7 Vaccon, Tristan 6 Botana, Francisco 6 Braun, Volker 6 De Feo, Luca 6 García-Etxebarria, Iñaki 6 Ghitza, Alexandru 6 Gillespie, Maria Monks 6 Giraudo, Samuele 6 González-Jiménez, Enrique 6 Grout, Jason 6 Harvey, David 6 Hutz, Benjamin 6 Klee, Steven 6 Labbé, Jean-Philippe 6 Levandovskyy, Viktor 6 Maitra, Subhamoy 6 Masdeu, Marc 6 Orellana, Rosa C. 6 Perrin, Léo 6 Perucca, Antonella 6 Pilaud, Vincent 6 Prodinger, Helmut 6 Sirolli, Nicolás 6 Striker, Jessica 6 Sturmfels, Bernd 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 Cvetič, Mirjam 5 Dunfield, Nathan M. 5 Faugère, Jean-Charles 5 Fernique, Thomas 5 García Puente, Luis David 5 Godsil, Christopher David 5 Hackl, Benjamin 5 Hivert, Florent 5 Hogben, Leslie 5 Hopkins, Samuel Francis 5 Jiménez-Pastor, Antonio 5 Johansson, Fredrik 5 Kauers, Manuel 5 Knauer, Kolja B. 5 Kohlhase, Michael 5 Kropf, Sara 5 Krumm, David ...and 3,065 more Authors all top 5 Cited in 405 Serials 73 Journal of Number Theory 63 Journal of High Energy Physics 62 The Electronic Journal of Combinatorics 59 Mathematics of Computation 53 Journal of Symbolic Computation 47 Journal of Algebra 42 Linear Algebra and its Applications 37 Séminaire Lotharingien de Combinatoire 35 Transactions of the American Mathematical Society 33 Journal of Combinatorial Theory. Series A 31 Discrete Mathematics 31 Designs, Codes and Cryptography 30 International Journal of Number Theory 29 Journal of Algebraic Combinatorics 27 Proceedings of the American Mathematical Society 26 Acta Arithmetica 25 Advances in Mathematics 25 Experimental Mathematics 25 Research in Number Theory 23 Annals of Combinatorics 21 European Journal of Combinatorics 20 The Ramanujan Journal 19 Advances in Applied Mathematics 18 Discrete Applied Mathematics 18 Theoretical Computer Science 18 Finite Fields and their Applications 17 Mathematische Zeitschrift 17 Algebraic Combinatorics 15 Journal of Pure and Applied Algebra 15 Discrete & Computational Geometry 15 SIAM Journal on Discrete Mathematics 13 Integers 12 Communications in Mathematical Physics 12 Journal de Théorie des Nombres de Bordeaux 11 Applicable Algebra in Engineering, Communication and Computing 11 The Australasian Journal of Combinatorics 11 ELA. The Electronic Journal of Linear Algebra 11 Algebras and Representation Theory 11 Mathematics in Computer Science 10 Israel Journal of Mathematics 10 Annales de l’Institut Fourier 10 LMS Journal of Computation and Mathematics 10 Advances in Mathematics of Communications 10 ACM Communications in Computer Algebra 10 SIAM Journal on Applied Algebra and Geometry 9 Journal of Integer Sequences 9 Journal of Algebra and its Applications 9 Journal of Mathematical Cryptology 8 Communications in Algebra 8 Rocky Mountain Journal of Mathematics 8 Canadian Journal of Mathematics 8 Proceedings of the London Mathematical Society. Third Series 8 Graphs and Combinatorics 8 Selecta Mathematica. New Series 8 Tbilisi Mathematical Journal 8 Research in the Mathematical Sciences 7 Geometriae Dedicata 7 Monatshefte für Mathematik 7 IMRN. International Mathematics Research Notices 6 Nuclear Physics. B 6 Compositio Mathematica 6 Duke Mathematical Journal 6 Functiones et Approximatio. Commentarii Mathematici 6 Journal of Combinatorial Theory. Series B 6 Journal für die Reine und Angewandte Mathematik 6 Journal of Knot Theory and its Ramifications 6 Documenta Mathematica 6 Transformation Groups 6 Discrete Mathematics and Theoretical Computer Science. DMTCS 6 Ars Mathematica Contemporanea 6 Combinatorial Theory 5 American Mathematical Monthly 5 Periodica Mathematica Hungarica 5 ACM Transactions on Mathematical Software 5 Journal of the London Mathematical Society. Second Series 5 Mathematische Annalen 5 Algorithmica 5 Revista Matemática Iberoamericana 5 Journal of Cryptology 5 Bulletin of the American Mathematical Society. New Series 5 The New York Journal of Mathematics 5 Foundations of Computational Mathematics 5 Involve 5 Cryptography and Communications 5 Journal of Singularities 4 Journal of Computational Physics 4 Journal of Mathematical Biology 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Bulletin of Mathematical Biology 4 Beiträge zur Algebra und Geometrie 4 Applied Mathematics and Computation 4 Archiv der Mathematik 4 Journal of Graph Theory 4 Journal of the Korean Mathematical Society 4 Bulletin of the Korean Mathematical Society 4 Computer Aided Geometric Design 4 International Journal of Algebra and Computation 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Notices of the American Mathematical Society 4 Journal of Mathematical Sciences (New York) ...and 305 more Serials all top 5 Cited in 61 Fields 711 Number theory (11-XX) 607 Combinatorics (05-XX) 453 Algebraic geometry (14-XX) 261 Computer science (68-XX) 211 Group theory and generalizations (20-XX) 199 Information and communication theory, circuits (94-XX) 136 Convex and discrete geometry (52-XX) 114 Quantum theory (81-XX) 109 Commutative algebra (13-XX) 92 Nonassociative rings and algebras (17-XX) 71 Dynamical systems and ergodic theory (37-XX) 70 Numerical analysis (65-XX) 66 Operations research, mathematical programming (90-XX) 64 Linear and multilinear algebra; matrix theory (15-XX) 60 Associative rings and algebras (16-XX) 59 Manifolds and cell complexes (57-XX) 57 Order, lattices, ordered algebraic structures (06-XX) 47 Differential geometry (53-XX) 46 Probability theory and stochastic processes (60-XX) 43 Geometry (51-XX) 41 Field theory and polynomials (12-XX) 40 Several complex variables and analytic spaces (32-XX) 38 Biology and other natural sciences (92-XX) 33 Topological groups, Lie groups (22-XX) 31 Relativity and gravitational theory (83-XX) 28 Special functions (33-XX) 26 General and overarching topics; collections (00-XX) 26 Algebraic topology (55-XX) 22 Mechanics of particles and systems (70-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Functions of a complex variable (30-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Partial differential equations (35-XX) 17 Statistics (62-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Category theory; homological algebra (18-XX) 14 Ordinary differential equations (34-XX) 12 Mathematics education (97-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Fluid mechanics (76-XX) 10 Mathematical logic and foundations (03-XX) 8 Approximations and expansions (41-XX) 6 Real functions (26-XX) 5 Difference and functional equations (39-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 5 Systems theory; control (93-XX) 4 History and biography (01-XX) 4 Mechanics of deformable solids (74-XX) 3 \(K\)-theory (19-XX) 3 Measure and integration (28-XX) 3 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Sequences, series, summability (40-XX) 2 Astronomy and astrophysics (85-XX) 1 Potential theory (31-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