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; LMFDB; Maple; Python; ecdata; nauty; Traces; MathOverflow; Maxima; Gfan; DLMF; FLINT Cited in: 2,989 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 4,312 Authors 38 Scrimshaw, Travis 24 Schilling, Anne 23 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 He, Yang-Hui Evariste 11 Kedlaya, Kiran Sridhara 11 Köppe, Matthias 11 Morales, Alejandro Henry 11 Razafimahatratra, Andriaherimanana Sarobidy 11 Salisbury, Ben 11 Tibouchi, Mehdi 10 Artal Bartolo, Enrique 10 Bernstein, Daniel Julius 10 Coron, Jean-Sébastien 10 De Bruyn, Bart 10 Göral, Haydar 10 Lange, Tanja 10 Lobillo, Francisco Javier 10 Neumann, Victor G. L. 10 O’Neill, Christopher 10 Prasad, Amritanshu 10 Stange, Katherine E. 10 Stein, William A. 10 Striker, Jessica 10 Sutherland, Andrew V. 10 Thiéry, Nicolas Marc 10 Vaccon, Tristan 9 Berg, Chris 9 Bergeron, Nantel 9 Cremona, John E. 9 Gómez Torrecillas, José 9 Jiménez-Pastor, Antonio 9 Maitra, Subhamoy 9 Marco-Buzunáriz, Miguel A. 9 Musiker, Gregg 9 Navarro, Gabriel 9 Ryan, Nathan C. 9 Sarkar, Santanu 9 Streng, Marco 9 Vallières, Daniel 9 Ziegler, Volker 8 Ceballos, Cesar 8 Ghitza, Alexandru 8 Gillespie, Maria Monks 8 Guitart, Xavier 8 Hampton, Marshall 8 Krenn, Daniel 8 Labbé, Sébastien 8 Lauter, Kristin Estella 8 Lewis, Joel Brewster 8 Perucca, Antonella 8 Sertbaş, Doğa Can 8 Stump, Christian 8 Yasuda, Masaya 7 Arpin, Sarah 7 Averkov, Gennadiy 7 Blondin Massé, Alexandre 7 Boussicault, Adrien 7 Cooper, Joshua N. 7 De Feo, Luca 7 Douvropoulos, Theo 7 Draziotis, Konstantinos A. 7 Fernique, Thomas 7 García-Etxebarria, Iñaki 7 Klee, Steven 7 Labbé, Jean-Philippe 7 Lee, Kyu-Hwan 7 Naccache, David 7 Perrin, Léo 7 Pilaud, Vincent 7 Pons, Viviane 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 Caruso, Xavier 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 ...and 4,212 more Authors all top 5 Cited in 486 Serials 90 Journal of Number Theory 83 Journal of High Energy Physics 75 The Electronic Journal of Combinatorics 72 Mathematics of Computation 64 Journal of Algebra 61 Journal of Symbolic Computation 48 Séminaire Lotharingien de Combinatoire 46 Linear Algebra and its Applications 43 Designs, Codes and Cryptography 43 International Journal of Number Theory 41 Research in Number Theory 40 Discrete Mathematics 38 Transactions of the American Mathematical Society 37 Experimental Mathematics 37 Journal of Algebraic Combinatorics 36 Acta Arithmetica 36 Journal of Combinatorial Theory. Series A 33 Proceedings of the American Mathematical Society 31 Advances in Mathematics 31 Algebraic Combinatorics 30 European Journal of Combinatorics 29 The Ramanujan Journal 28 Annals of Combinatorics 26 Finite Fields and their Applications 24 Discrete Applied Mathematics 24 Journal of Pure and Applied Algebra 23 Advances in Applied Mathematics 22 ACM Communications in Computer Algebra 21 Mathematische Zeitschrift 20 Theoretical Computer Science 20 Discrete & Computational Geometry 19 SIAM Journal on Discrete Mathematics 19 Journal de Théorie des Nombres de Bordeaux 19 Advances in Mathematics of Communications 17 Integers 17 Journal of Algebra and its Applications 16 Journal of the London Mathematical Society. Second Series 15 Communications in Algebra 15 Communications in Mathematical Physics 15 Proceedings of the London Mathematical Society. Third Series 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 Combinatorial Theory 12 Israel Journal of Mathematics 12 Selecta Mathematica. New Series 12 Journal of Integer Sequences 11 Annales de l’Institut Fourier 11 Geometriae Dedicata 11 ELA. The Electronic Journal of Linear Algebra 11 Mathematics in Computer Science 11 SIAM Journal on Applied Algebra and Geometry 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 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 of Graph Theory 8 Journal für die Reine und Angewandte Mathematik 8 Manuscripta Mathematica 8 Journal of Knot Theory and its Ramifications 8 Documenta Mathematica 8 Tbilisi Mathematical Journal 8 Ars Mathematica Contemporanea 7 American Mathematical Monthly 7 Nuclear Physics. B 7 Journal of Geometry and Physics 7 ACM Transactions on Mathematical Software 7 Applied Mathematics and Computation 7 Functiones et Approximatio. Commentarii Mathematici 7 Mathematische Annalen 7 Mathematische Nachrichten 7 Monatshefte für Mathematik 7 Transformation Groups 7 Cryptography and Communications 7 Annales Mathématiques du Québec 6 Mathematical Proceedings of the Cambridge Philosophical Society 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 Glasnik Matematički. Serija III 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 ...and 386 more Serials all top 5 Cited in 62 Fields 1,008 Number theory (11-XX) 843 Combinatorics (05-XX) 642 Algebraic geometry (14-XX) 346 Computer science (68-XX) 304 Information and communication theory, circuits (94-XX) 300 Group theory and generalizations (20-XX) 189 Convex and discrete geometry (52-XX) 171 Quantum theory (81-XX) 148 Commutative algebra (13-XX) 119 Nonassociative rings and algebras (17-XX) 89 Manifolds and cell complexes (57-XX) 87 Order, lattices, ordered algebraic structures (06-XX) 85 Associative rings and algebras (16-XX) 85 Dynamical systems and ergodic theory (37-XX) 85 Numerical analysis (65-XX) 85 Operations research, mathematical programming (90-XX) 82 Linear and multilinear algebra; matrix theory (15-XX) 65 Field theory and polynomials (12-XX) 58 Probability theory and stochastic processes (60-XX) 57 Differential geometry (53-XX) 56 Geometry (51-XX) 53 Several complex variables and analytic spaces (32-XX) 53 Biology and other natural sciences (92-XX) 46 Topological groups, Lie groups (22-XX) 42 Algebraic topology (55-XX) 42 Relativity and gravitational theory (83-XX) 35 Special functions (33-XX) 30 Mechanics of particles and systems (70-XX) 27 General and overarching topics; collections (00-XX) 26 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) 20 Category theory; homological algebra (18-XX) 19 Ordinary differential equations (34-XX) 14 Mathematical logic and foundations (03-XX) 14 Real functions (26-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Mathematics education (97-XX) 11 Operator theory (47-XX) 11 Fluid mechanics (76-XX) 10 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) 6 Calculus of variations and optimal control; optimization (49-XX) 5 History and biography (01-XX) 5 Mechanics of deformable solids (74-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 General topology (54-XX) 2 Astronomy and astrophysics (85-XX) 1 Abstract harmonic analysis (43-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year