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; GitHub; GAP; OEIS; PARI/GP; SINGULAR; Macaulay2; Sage-Combinat; Mathematica; Maple; LMFDB; Python; ecdata; nauty; Traces; MathOverflow; Maxima; Gfan; DLMF; FLINT Cited in: 2,897 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: a basic overview for coding theory and cryptography. Zbl 1352.94002Joyner, David 2013 Sage: creating a viable free open source alternative to Magma, Maple, Mathematica, and MATLAB. Zbl 1316.65123Stein, William 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 4,202 Authors 38 Scrimshaw, Travis 24 Schilling, Anne 22 Das, Kinkar Chandra 17 Balakrishnan, Jennifer S. 16 Joyner, David 13 Albrecht, Martin R. 13 Heuberger, Clemens 13 Saliola, Franco V. 13 Tengely, Szabolcs 12 Grinberg, Darij 12 Raum, Martin 12 Zabrocki, Mike 11 Kedlaya, Kiran Sridhara 11 Razafimahatratra, Andriaherimanana Sarobidy 11 Salisbury, Ben 11 Tibouchi, Mehdi 10 Artal Bartolo, Enrique 10 Bernstein, Daniel Julius 10 Coron, Jean-Sébastien 10 Göral, Haydar 10 He, Yang-Hui Evariste 10 Köppe, Matthias 10 Lange, Tanja 10 Lobillo, Francisco Javier 10 Morales, Alejandro Henry 10 Neumann, Victor G. L. 10 O’Neill, Christopher 10 Stange, Katherine E. 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 Maitra, Subhamoy 9 Musiker, Gregg 9 Navarro, Gabriel 9 Prasad, Amritanshu 9 Ryan, Nathan C. 9 Sarkar, Santanu 9 Streng, Marco 9 Vaccon, Tristan 9 Ziegler, Volker 8 Guitart, Xavier 8 Krenn, Daniel 8 Labbé, Sébastien 8 Lauter, Kristin Estella 8 Lewis, Joel Brewster 8 Marco-Buzunáriz, Miguel A. 8 Perucca, Antonella 8 Sertbaş, Doğa Can 8 Stump, Christian 7 Averkov, Gennadiy 7 Blondin Massé, Alexandre 7 Boussicault, Adrien 7 Ceballos, Cesar 7 Cooper, Joshua N. 7 De Feo, Luca 7 Douvropoulos, Theo 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 Labbé, Jean-Philippe 7 Lee, Kyu-Hwan 7 Naccache, David 7 Pilaud, Vincent 7 Sirolli, Nicolás 7 Sturmfels, Bernd 7 Vallières, Daniel 6 Arpin, Sarah 6 Aval, Jean-Christophe 6 Ayyer, Arvind 6 Barrios, Alexander J. 6 Botana, Francisco 6 Brandhorst, Simon 6 Braun, Volker 6 Celoria, Daniele 6 Costa, Edgar 6 Cvetič, Mirjam 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 Lei, Antonio ...and 4,102 more Authors all top 5 Cited in 473 Serials 90 Journal of Number Theory 82 Journal of High Energy Physics 74 The Electronic Journal of Combinatorics 70 Mathematics of Computation 62 Journal of Algebra 59 Journal of Symbolic Computation 48 Séminaire Lotharingien de Combinatoire 46 Linear Algebra and its Applications 43 Designs, Codes and Cryptography 42 International Journal of Number Theory 39 Discrete Mathematics 37 Transactions of the American Mathematical Society 37 Journal of Algebraic Combinatorics 36 Acta Arithmetica 36 Journal of Combinatorial Theory. Series A 35 Experimental Mathematics 35 Research in Number Theory 32 Proceedings of the American Mathematical Society 31 Advances in Mathematics 30 Algebraic Combinatorics 28 European Journal of Combinatorics 28 The Ramanujan Journal 28 Annals of Combinatorics 26 Finite Fields and their Applications 23 Journal of Pure and Applied Algebra 22 Advances in Applied Mathematics 22 ACM Communications in Computer Algebra 21 Discrete Applied Mathematics 20 Mathematische Zeitschrift 20 Theoretical Computer Science 19 Discrete & Computational Geometry 18 SIAM Journal on Discrete Mathematics 17 Advances in Mathematics of Communications 16 Journal of the London Mathematical Society. Second Series 16 Journal de Théorie des Nombres de Bordeaux 16 Integers 16 Journal of Algebra and its Applications 15 Communications in Algebra 15 Communications in Mathematical Physics 15 Algebras and Representation Theory 14 Applicable Algebra in Engineering, Communication and Computing 14 The Australasian Journal of Combinatorics 13 Rocky Mountain Journal of Mathematics 13 Proceedings of the London Mathematical Society. Third Series 13 Combinatorial Theory 12 Selecta Mathematica. New Series 12 Journal of Integer Sequences 11 Israel Journal of Mathematics 11 Annales de l’Institut Fourier 11 Geometriae Dedicata 11 ELA. The Electronic Journal of Linear Algebra 11 Mathematics in Computer Science 10 Bulletin of the London Mathematical Society 10 IMRN. International Mathematics Research Notices 10 LMS Journal of Computation and Mathematics 10 Journal of Mathematical Cryptology 10 Forum of Mathematics, Sigma 10 Research in the Mathematical Sciences 10 SIAM Journal on Applied Algebra and Geometry 9 Graphs and Combinatorics 9 Discrete Mathematics and Theoretical Computer Science. DMTCS 8 Canadian Journal of Mathematics 8 Compositio Mathematica 8 Journal of Combinatorial Theory. Series B 8 Journal für die Reine und Angewandte Mathematik 8 Manuscripta Mathematica 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 Graph Theory 7 Mathematische Annalen 7 Mathematische Nachrichten 7 Monatshefte für Mathematik 7 Journal of Knot Theory and its Ramifications 7 Documenta Mathematica 7 Transformation Groups 7 Cryptography and Communications 7 Annales Mathématiques du Québec 6 American Mathematical Monthly 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Journal of Geometry and Physics 6 Archiv der Mathematik 6 Duke Mathematical Journal 6 Programming and Computer Software 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 Electronic Journal of Probability 6 Foundations of Computational Mathematics 6 Journal of the Institute of Mathematics of Jussieu 6 Journal of Physics A: Mathematical and Theoretical 6 European Journal of Mathematics 5 Periodica Mathematica Hungarica 5 Algorithmica 5 Revista Matemática Iberoamericana ...and 373 more Serials all top 5 Cited in 62 Fields 975 Number theory (11-XX) 819 Combinatorics (05-XX) 619 Algebraic geometry (14-XX) 332 Computer science (68-XX) 295 Group theory and generalizations (20-XX) 292 Information and communication theory, circuits (94-XX) 182 Convex and discrete geometry (52-XX) 169 Quantum theory (81-XX) 141 Commutative algebra (13-XX) 116 Nonassociative rings and algebras (17-XX) 85 Associative rings and algebras (16-XX) 85 Manifolds and cell complexes (57-XX) 84 Dynamical systems and ergodic theory (37-XX) 84 Numerical analysis (65-XX) 84 Operations research, mathematical programming (90-XX) 83 Order, lattices, ordered algebraic structures (06-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 60 Field theory and polynomials (12-XX) 57 Probability theory and stochastic processes (60-XX) 55 Differential geometry (53-XX) 54 Geometry (51-XX) 51 Several complex variables and analytic spaces (32-XX) 51 Biology and other natural sciences (92-XX) 43 Topological groups, Lie groups (22-XX) 40 Relativity and gravitational theory (83-XX) 38 Algebraic topology (55-XX) 34 Special functions (33-XX) 29 Mechanics of particles and systems (70-XX) 27 General and overarching topics; collections (00-XX) 25 Functions of a complex variable (30-XX) 25 Statistics (62-XX) 25 Statistical mechanics, structure of matter (82-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Partial differential equations (35-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Category theory; homological algebra (18-XX) 18 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 Operator theory (47-XX) 11 Fluid mechanics (76-XX) 9 Approximations and expansions (41-XX) 8 \(K\)-theory (19-XX) 8 Systems theory; control (93-XX) 7 Functional analysis (46-XX) 6 Difference and functional equations (39-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of deformable solids (74-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) 2 General algebraic systems (08-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