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Algorithms and Computation in Mathematics

Short Title: Algorithms Comput. Math.
Publisher: Springer, Cham
ISSN: 1431-1550
Online: https://rd.springer.com/bookseries/3339
Comments: Book series; Indexed cover-to-cover
Documents Indexed: 39 Publications (since 1997)

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 1,808 times in 1,769 Documents Cited by Year
Algorithms in real algebraic geometry. 2nd ed. Zbl 1102.14041
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
253
2006
Triangulations. Structures for algorithms and applications. Zbl 1207.52002
De Loera, Jesús A.; Rambau, Jörg; Santos, Francisco
240
2010
Combinatorial algebraic topology. Zbl 1130.55001
Kozlov, Dimitry
144
2008
Gröbner deformations of hypergeometric differential equations. Zbl 0946.13021
Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki
127
2000
Algorithms in real algebraic geometry. Zbl 1031.14028
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
96
2003
Classification algorithms for codes and designs. Zbl 1089.05001
Kaski, Petteri; Östergård, Patric R. J.
75
2006
Algorithmic topology and classification of 3-manifolds. Zbl 1048.57001
Matveev, Sergei
69
2003
Involution. The formal theory of differential equations and its applications in computer algebra. Zbl 1205.35003
Seiler, Werner M.
67
2010
Rational algebraic curves. A computer algebra approach. Zbl 1129.14083
Sendra, J. Rafael; Winkler, Franz; Pérez-Díaz, Sonia
67
2008
Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman. Zbl 0896.13021
Vasconcelos, Wolmer V.
61
1998
Algorithmic topology and classification of 3-manifolds. 2nd ed. Zbl 1128.57001
Matveev, Sergei
58
2007
Completeness and reduction in algebraic complexity theory. Zbl 0948.68082
Bürgisser, Peter
56
2000
Self-dual codes and invariant theory. Zbl 1173.94447
Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A.
54
2006
Binary quadratic forms. An algorithmic approach. Zbl 1125.11028
Buchmann, Johannes; Vollmer, Ulrich
41
2007
Geometry of continued fractions. Zbl 1297.11002
Karpenkov, Oleg
38
2013
Polynomials. Translated from the second Russian edition 2001 by Dimitry Leites. 2nd printing. Zbl 1272.12001
Prasolov, Victor V.
37
2010
Polynomials. Translated from the second Russian edition by Dimitry Leites. Zbl 1063.12001
Prasolov, Victor V.
37
2004
Algebraic aspects of cryptography. With an appendix on hyperelliptic curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato. Zbl 0890.94001
Koblitz, Neal
35
1998
Error-correcting linear codes. Classification by isometry and applications. With CD-ROM. Zbl 1102.94001
Betten, Anton; Braun, Michael; Fripertinger, Harald; Kerber, Adalbert; Kohnert, Axel; Wassermann, Alfred
30
2006
Symbolic integration. I: Transcendental functions. Zbl 0880.12005
Bronstein, Manuel
27
1997
Some tapas of computer algebra. Zbl 0924.13021
27
1999
Symbolic integration I: Transcendental functions. 2nd ed. Zbl 1059.12002
Bronstein, Manuel
24
2005
Solving polynomial equations. Foundations, algorithms, and applications. Zbl 1061.12001
22
2005
Computations in algebraic geometry with Macaulay 2. Zbl 0973.00017
19
2002
Graphs, networks and algorithms. 3rd ed. Zbl 1126.68058
Jungnickel, Dieter
18
2008
Graphs, networks and algorithms. 4th ed. Zbl 1255.68001
Jungnickel, Dieter
17
2013
Computing in algebraic geometry. A quick start using SINGULAR. Zbl 1095.14001
Decker, Wolfram; Lossen, Christoph
15
2006
Computational ergodic theory. Zbl 1064.37004
Choe, Geon Ho
15
2005
Computability of Julia sets. Zbl 1314.37033
Braverman, Mark; Yampolsky, Michael
13
2009
Discovering mathematics with Magma. Reducing the abstract to the concrete. Zbl 1104.11002
7
2006
Graphs, networks and algorithms. Based on the translation of the 3rd German edition by Tilla Schade in collaboration with the author. 2nd completely revised ed. Zbl 1061.05001
Jungnickel, Dieter
5
2005
Topics in Galois fields. Zbl 1467.11120
Hachenberger, Dirk; Jungnickel, Dieter
3
2020
Algebraic aspects of cryptography. With an appendix on hyperelliptic curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato. 3rd printing. Zbl 1068.94001
Koblitz, Neal
3
2004
Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman. 3rd printing. Zbl 1095.13034
Vasconcelos, Wolmer V.
3
2004
The Gröbner cover. Zbl 1412.13001
Montes, Antonio
3
2018
Symbolic asymptotics. Zbl 1066.12004
Shackell, John R.
2
2004
Topics in Galois fields. Zbl 1467.11120
Hachenberger, Dirk; Jungnickel, Dieter
3
2020
The Gröbner cover. Zbl 1412.13001
Montes, Antonio
3
2018
Geometry of continued fractions. Zbl 1297.11002
Karpenkov, Oleg
38
2013
Graphs, networks and algorithms. 4th ed. Zbl 1255.68001
Jungnickel, Dieter
17
2013
Triangulations. Structures for algorithms and applications. Zbl 1207.52002
De Loera, Jesús A.; Rambau, Jörg; Santos, Francisco
240
2010
Involution. The formal theory of differential equations and its applications in computer algebra. Zbl 1205.35003
Seiler, Werner M.
67
2010
Polynomials. Translated from the second Russian edition 2001 by Dimitry Leites. 2nd printing. Zbl 1272.12001
Prasolov, Victor V.
37
2010
Computability of Julia sets. Zbl 1314.37033
Braverman, Mark; Yampolsky, Michael
13
2009
Combinatorial algebraic topology. Zbl 1130.55001
Kozlov, Dimitry
144
2008
Rational algebraic curves. A computer algebra approach. Zbl 1129.14083
Sendra, J. Rafael; Winkler, Franz; Pérez-Díaz, Sonia
67
2008
Graphs, networks and algorithms. 3rd ed. Zbl 1126.68058
Jungnickel, Dieter
18
2008
Algorithmic topology and classification of 3-manifolds. 2nd ed. Zbl 1128.57001
Matveev, Sergei
58
2007
Binary quadratic forms. An algorithmic approach. Zbl 1125.11028
Buchmann, Johannes; Vollmer, Ulrich
41
2007
Algorithms in real algebraic geometry. 2nd ed. Zbl 1102.14041
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
253
2006
Classification algorithms for codes and designs. Zbl 1089.05001
Kaski, Petteri; Östergård, Patric R. J.
75
2006
Self-dual codes and invariant theory. Zbl 1173.94447
Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A.
54
2006
Error-correcting linear codes. Classification by isometry and applications. With CD-ROM. Zbl 1102.94001
Betten, Anton; Braun, Michael; Fripertinger, Harald; Kerber, Adalbert; Kohnert, Axel; Wassermann, Alfred
30
2006
Computing in algebraic geometry. A quick start using SINGULAR. Zbl 1095.14001
Decker, Wolfram; Lossen, Christoph
15
2006
Discovering mathematics with Magma. Reducing the abstract to the concrete. Zbl 1104.11002
7
2006
Symbolic integration I: Transcendental functions. 2nd ed. Zbl 1059.12002
Bronstein, Manuel
24
2005
Solving polynomial equations. Foundations, algorithms, and applications. Zbl 1061.12001
22
2005
Computational ergodic theory. Zbl 1064.37004
Choe, Geon Ho
15
2005
Graphs, networks and algorithms. Based on the translation of the 3rd German edition by Tilla Schade in collaboration with the author. 2nd completely revised ed. Zbl 1061.05001
Jungnickel, Dieter
5
2005
Polynomials. Translated from the second Russian edition by Dimitry Leites. Zbl 1063.12001
Prasolov, Victor V.
37
2004
Algebraic aspects of cryptography. With an appendix on hyperelliptic curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato. 3rd printing. Zbl 1068.94001
Koblitz, Neal
3
2004
Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman. 3rd printing. Zbl 1095.13034
Vasconcelos, Wolmer V.
3
2004
Symbolic asymptotics. Zbl 1066.12004
Shackell, John R.
2
2004
Algorithms in real algebraic geometry. Zbl 1031.14028
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
96
2003
Algorithmic topology and classification of 3-manifolds. Zbl 1048.57001
Matveev, Sergei
69
2003
Computations in algebraic geometry with Macaulay 2. Zbl 0973.00017
19
2002
Gröbner deformations of hypergeometric differential equations. Zbl 0946.13021
Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki
127
2000
Completeness and reduction in algebraic complexity theory. Zbl 0948.68082
Bürgisser, Peter
56
2000
Some tapas of computer algebra. Zbl 0924.13021
27
1999
Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman. Zbl 0896.13021
Vasconcelos, Wolmer V.
61
1998
Algebraic aspects of cryptography. With an appendix on hyperelliptic curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato. Zbl 0890.94001
Koblitz, Neal
35
1998
Symbolic integration. I: Transcendental functions. Zbl 0880.12005
Bronstein, Manuel
27
1997
all top 5

Cited by 2,517 Authors

26 Östergård, Patric R. J.
21 Basu, Saugata
20 Santos, Francisco
17 Joswig, Michael
16 Seiler, Werner M.
16 Takayama, Nobuki
14 Matusevich, Laura Felicia
13 Sturmfels, Bernd
13 Walther, Uli
12 Vesnin, Andrei Yu.
11 Fominykh, Evgeny Anatol’evich
11 Hashemi, Amir
11 Roy, Marie-Françoise
11 Sendra, Juan Rafael
9 Gerdt, Vladimir Petrovich
9 Pilaud, Vincent
9 Sanyal, Raman
9 Topalova, Svetlana Todorova
9 Winkler, Franz
8 Ceballos, Cesar
8 Pournin, Lionel
8 Villarreal, Rafael Heraclio
7 Berkesch Zamaere, Christine
7 Dickenstein, Alicia M.
7 Dougherty, Steven T.
7 Ehrenborg, Richard
7 Garoufalidis, Stavros
7 Kaski, Petteri
7 Lackenby, Marc
7 Matoušek, Jiří
7 Padrol, Arnau
7 Safey El Din, Mohab
7 Sharir, Micha
7 Sutherland, Andrew V.
7 Ustimenko, Vasiliy A.
6 Aronov, Boris
6 Batkhin, Alexandr B.
6 Burton, Benjamin A.
6 Castro-Jiménez, Francisco Jesús
6 Chen, Shaoshi
6 Cristofori, Paola
6 Delucchi, Emanuele
6 Ezra, Esther E.
6 Feliu, Elisenda
6 Fernández-Fernández, María-Cruz
6 Hegedűs, Gábor
6 Khavkine, Igor
6 Koiran, Pascal
6 Mischaikow, Konstantin
6 Nie, Jiawang
6 Oura, Manabu
6 Perrucci, Daniel
6 Petronio, Carlo
6 Raab, Clemens G.
6 Rubinstein, J. Hyam
6 Saito, Mutsumi
6 Shukla, Samir
6 Simis, Aron
6 Zahl, Joshua
6 Zhelezova, Stela Dimitrova
5 Adamaszek, Michal
5 Alcazar, Juan Gerardo
5 Ardila, Federico
5 Betten, Anton
5 Bronstein, Manuel Eric
5 Bürgisser, Peter
5 De Loera, Jesús A.
5 Feichtner-Kozlov, Dimitry N.
5 Grigor’ev, Dmitriĭ Yur’evich
5 Hauenstein, Jonathan D.
5 Kostov, Vladimir Petrov
5 Lasserre, Jean-Bernard
5 Lê Tuâń Hoa
5 Levandovskyy, Viktor
5 Luo, Zhongxuan
5 Makowsky, Johann-Andreas
5 Manturov, Vassiliĭ Olegovich
5 Matsushita, Takahiro
5 Matveev, Sergeĭ Vladimirovich
5 Morrison, Ralph
5 Nanda, Vidit
5 Ngô, Lâm Xuân Châu
5 Pach, János
5 Regensburger, Georg
5 Robertz, Daniel
5 Rónyai, Lajos
5 Rouillier, Fabrice
5 Segerman, Henry
5 Singh, Anurag
5 Sottile, Frank
5 Spreer, Jonathan
5 Tsai, Ya-Lun
5 Tuomela, Jukka
5 Villarino, Carlos
5 Xiao, ShuiJing
5 Zeng, Guangxing
5 Živaljević, Rade T.
4 Caravantes, Jorge
4 Chen, Wei
4 Corless, Robert Malcolm
...and 2,417 more Authors
all top 5

Cited in 411 Journals

94 Journal of Symbolic Computation
76 Discrete & Computational Geometry
33 Mathematics of Computation
31 Transactions of the American Mathematical Society
29 Advances in Mathematics
28 Applicable Algebra in Engineering, Communication and Computing
25 Journal of Algebra
24 Proceedings of the American Mathematical Society
23 Designs, Codes and Cryptography
22 Discrete Mathematics
22 Mathematics in Computer Science
19 Topology and its Applications
19 Foundations of Computational Mathematics
18 Journal of Combinatorial Theory. Series A
18 Journal of Number Theory
18 Journal of High Energy Physics
17 European Journal of Combinatorics
16 Journal of Pure and Applied Algebra
15 Advances in Applied Mathematics
15 SIAM Journal on Discrete Mathematics
15 Journal of Algebraic Combinatorics
15 The Electronic Journal of Combinatorics
14 Discrete Applied Mathematics
14 Israel Journal of Mathematics
14 Mathematische Zeitschrift
14 Theoretical Computer Science
13 Communications in Mathematical Physics
13 Algebraic & Geometric Topology
12 Mathematical Programming. Series A. Series B
11 Mathematische Annalen
11 Acta Applicandae Mathematicae
11 Journal of Combinatorial Designs
11 Theory of Computing Systems
10 Communications in Algebra
10 SIAM Journal on Computing
10 Journal of Mathematical Sciences (New York)
10 Journal of Systems Science and Complexity
10 SIAM Journal on Applied Algebra and Geometry
9 Programming and Computer Software
9 Journal of Complexity
9 Computational Geometry
9 Finite Fields and their Applications
9 Selecta Mathematica. New Series
8 Beiträge zur Algebra und Geometrie
8 Journal of Computational and Applied Mathematics
8 Combinatorica
8 Computational Complexity
8 Journal of the European Mathematical Society (JEMS)
8 Proceedings of the Steklov Institute of Mathematics
7 Journal of Mathematical Analysis and Applications
7 Geometriae Dedicata
7 Computer Aided Geometric Design
7 Graphs and Combinatorics
7 Revista Matemática Iberoamericana
7 Journal of the American Mathematical Society
7 Linear Algebra and its Applications
7 Research in the Mathematical Sciences
7 Journal of Applied and Computational Topology
6 Applied Mathematics and Computation
6 Duke Mathematical Journal
6 Inventiones Mathematicae
6 Memoirs of the American Mathematical Society
6 International Journal of Mathematics
6 Journal of Knot Theory and its Ramifications
6 Journal de Théorie des Nombres de Bordeaux
6 Sbornik: Mathematics
6 Geometry & Topology
6 Chebyshevskiĭ Sbornik
5 Nuclear Physics. B
5 Bulletin of Mathematical Biology
5 Acta Mathematica Vietnamica
5 Collectanea Mathematica
5 Results in Mathematics
5 Siberian Mathematical Journal
5 Algorithmica
5 Journal of Automated Reasoning
5 Japan Journal of Industrial and Applied Mathematics
5 SIAM Journal on Optimization
5 Combinatorics, Probability and Computing
5 Séminaire Lotharingien de Combinatoire
5 Doklady Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Science China. Mathematics
5 Journal of Algebra, Combinatorics, Discrete Structures and Applications
4 Journal of Statistical Physics
4 Theoretical and Mathematical Physics
4 The Annals of Statistics
4 Automatica
4 Mathematics of Operations Research
4 Acta Mathematica Hungarica
4 Order
4 The Ramanujan Journal
4 Annals of Combinatorics
4 Journal of Discrete Mathematical Sciences & Cryptography
4 Annals of Mathematics. Second Series
4 Lobachevskii Journal of Mathematics
4 Quantum Information Processing
4 Journal of Algebra and its Applications
4 International Journal of Number Theory
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
...and 311 more Journals
all top 5

Cited in 60 Fields

404 Computer science (68-XX)
382 Algebraic geometry (14-XX)
333 Combinatorics (05-XX)
278 Commutative algebra (13-XX)
234 Convex and discrete geometry (52-XX)
192 Number theory (11-XX)
177 Manifolds and cell complexes (57-XX)
139 Information and communication theory, circuits (94-XX)
98 Field theory and polynomials (12-XX)
96 Operations research, mathematical programming (90-XX)
87 Numerical analysis (65-XX)
75 Special functions (33-XX)
74 Algebraic topology (55-XX)
71 Several complex variables and analytic spaces (32-XX)
68 Group theory and generalizations (20-XX)
64 Mathematical logic and foundations (03-XX)
64 Quantum theory (81-XX)
55 Associative rings and algebras (16-XX)
52 Ordinary differential equations (34-XX)
51 Dynamical systems and ergodic theory (37-XX)
46 Order, lattices, ordered algebraic structures (06-XX)
46 Partial differential equations (35-XX)
39 Statistics (62-XX)
38 Geometry (51-XX)
37 Linear and multilinear algebra; matrix theory (15-XX)
37 Functions of a complex variable (30-XX)
33 Real functions (26-XX)
32 Biology and other natural sciences (92-XX)
29 Differential geometry (53-XX)
27 Probability theory and stochastic processes (60-XX)
22 Global analysis, analysis on manifolds (58-XX)
21 Mechanics of particles and systems (70-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Statistical mechanics, structure of matter (82-XX)
15 Systems theory; control (93-XX)
14 Category theory; homological algebra (18-XX)
12 Relativity and gravitational theory (83-XX)
11 Difference and functional equations (39-XX)
11 Fluid mechanics (76-XX)
10 Operator theory (47-XX)
9 Topological groups, Lie groups (22-XX)
9 Approximations and expansions (41-XX)
9 Functional analysis (46-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 General topology (54-XX)
7 General and overarching topics; collections (00-XX)
7 History and biography (01-XX)
7 Measure and integration (28-XX)
7 Mechanics of deformable solids (74-XX)
7 Optics, electromagnetic theory (78-XX)
4 Potential theory (31-XX)
4 Integral transforms, operational calculus (44-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Nonassociative rings and algebras (17-XX)
3 \(K\)-theory (19-XX)
3 Sequences, series, summability (40-XX)
3 Mathematics education (97-XX)
1 General algebraic systems (08-XX)
1 Geophysics (86-XX)

Citations by Year