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Prestel, Alexander

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Author ID: prestel.alexander Recent zbMATH articles by "Prestel, Alexander"
Published as: Prestel, A.; Prestel, Alexander
External Links: MGP · Wikidata · GND
Documents Indexed: 73 Publications since 1968, including 18 Books
Reviewing Activity: 59 Reviews

Publications by Year

Citations contained in zbMATH

55 Publications have been cited 804 times in 602 Documents Cited by Year
Valued fields. Zbl 1128.12009
Engler, Antonio J.; Prestel, Alexander
110
2005
Positive polynomials. From Hilbert’s 17th problem to real algebra. Zbl 0987.13016
Prestel, Alexander; Delzell, Charles N.
106
2001
Lectures on formally real fields. Zbl 0548.12011
Prestel, Alexander
99
1984
Formally \(p\)-adic fields. Zbl 0523.12016
Prestel, Alexander; Roquette, Peter
62
1984
On some Hasse principles over formally real fields. Zbl 0277.15013
Elman, Richard; Lam, Tsit-Yuen; Prestel, Alexander
48
1973
Quadratische Semi-Ordnungen und quadratische Formen. Zbl 0275.12013
Prestel, A.
35
1973
Lectures on formally real fields. Zbl 0548.12010
Prestel, Alexander
33
1974
Modeltheoretic methods in the theory of topological fields. Zbl 0367.12014
Prestel, Alexander; Ziegler, Martin
32
1978
Distinguished representations of strictly positive polynomials. Zbl 1015.14029
Jacobi, Thomas; Prestel, Alexander
30
2001
Die elliptischen Fixpunkte der Hilbertschen Modulgruppen. Zbl 0159.11302
Prestel, A.
27
1968
Numbers. With an introduction by K. Lamotke. Transl. from the 2nd German ed. by H. L. S. Orde. Edited by J. H. Ewing. Zbl 0705.00001
Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, F.; Koecher, M.; Mainzer, K.; Neukirch, J.; Prestel, A.; Remmert, R.
25
1990
Einführung in die mathematische Logik und Modelltheorie. Zbl 0616.03001
Prestel, Alexander
19
1986
Remarks on the Pythagoras and Hasse number of real fields. Zbl 0396.10013
Prestel, Alexander
17
1978
Places of algebraic function fields. Zbl 0535.12015
Kuhlmann, F.-V.; Prestel, A.
13
1984
Reduced stability of the Witt ring of a field and its pythagorean closure. Zbl 0573.10015
Elman, Richard; Prestel, Alexander
12
1984
Model theory of real closed rings. Zbl 1018.12009
Prestel, Alexander; Schwartz, Niels
9
2002
Mathematical logic and model theory. A brief introduction. Zbl 1241.03001
Prestel, Alexander; Delzell, Charles N.
8
2011
Existentially closed domains with radical relations. An axiomatization of the ring of algebraic integers. Zbl 0691.12013
Prestel, A.; Schmid, J.
8
1990
Almost isotropic quadratic forms. Zbl 0408.10009
Prestel, Alexander; Ware, Roger
7
1979
Finitely generated pro-\(p\)-groups as Galois groups of maximal \(p\)-extensions of function fields over \(\mathbb{Q}_ q\). Zbl 0857.12001
Jensen, Christian U.; Prestel, Alexander
6
1996
Fields regularly closed with respect to finitely many valuations and orderings. Zbl 0566.03023
Heinemann, Bernhard; Prestel, Alexander
6
1984
Die Fixpunkte der symmetrischen Hilbertschen Modulgruppe zu einem reell- quadratischen Zahlkörper mit Primzahldiskriminante. (The fixal points of the symmetric Hilbert modular group to a real-quadratic number field with prime discriminant). Zbl 0234.10019
Prestel, Alexander
6
1973
Algebraic number fields elementarily determined by their absolute Galois group. Zbl 0742.12005
Prestel, Alexander
5
1991
Pseudo real closed fields. Zbl 0466.12018
Prestel, Alexander
5
1981
On the size of zeros of quadratic forms over rational function fields. Zbl 0606.10014
Prestel, Alexander
4
1987
Fields regularly closed with respect to finitely many valuations and orderings. Zbl 0555.12008
Heinemann, B.; Prestel, A.
4
1984
Decidable theories of preordered fields. Zbl 0466.12019
Prestel, Alexander
4
1982
Hereditarily Euclidean fields. Zbl 0307.12103
Prestel, Alexander; Ziegler, Martin
4
1975
Euklidische Geometrie ohne das Axiom von Pasch. Zbl 0288.50003
Prestel, A.
4
1974
Definable Henselian valuation rings. Zbl 1372.03080
Prestel, Alexander
3
2015
Uniform definability of henselian valuation rings in the Macintyre language. Zbl 1366.12004
Fehm, Arno; Prestel, Alexander
3
2015
How often can a finite group be realized as a Galois group over a field? Zbl 0976.12004
Jensen, C. U.; Prestel, A.
3
1999
Sums of \(2m\)-th powers of rational functions in one variable over real closed fields. Zbl 0859.12002
Choi, M. D.; Lam, T. Y.; Prestel, A.; Reznick, B.
3
1996
On Solèr’s characterization of Hilbert spaces. Zbl 0830.46016
Prestel, Alexander
3
1995
Zahlen. 3., verb. Aufl. Zbl 0753.00004
Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold; Lamotke, Klaus
3
1992
Decidability of the rings of real algebraic and \(p\)-adic algebraic integers. Zbl 0717.12006
Prestel, A.; Schmid, J.
3
1991
Integral-valued rational functions on valued fields. Zbl 0771.12003
Prestel, Alexander; Ripoll, Cydara C.
3
1991
On trace forms of algebraic function fields. Zbl 0702.11021
Prestel, Alexander
3
1989
Triangle and Schwarz inequality in Pasch-free Euclidean geometry. Zbl 0312.06015
Gupta, H. N.; Prestel, A.
3
1972
On a class of Pasch-free Euclidean planes. Zbl 0243.50001
Gupta, H. N.; Prestel, A.
3
1972
Representation of real commutative rings. Zbl 1083.13010
Prestel, Alexander
2
2005
Bounds for representations of polynomials positive on compact semi-algebraic sets. Zbl 1015.14030
Prestel, Alexander
2
2002
Realization of finitely generated profinite groups by maximal abelian extensions of fields. Zbl 0788.12002
Jensen, C. U.; Prestel, A.
2
1994
Unique realizability of finite Abelian 2-groups as Galois groups. Zbl 0756.12002
Jensen, C. U.; Prestel, A.
2
1992
Numbers. With an introduction by Klaus Lamotke. Translated by H. L. S. Orde. Edited by John H. Ewing. Paperback ed. Zbl 0741.00003
Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold
2
1991
Pseudo real closed fields. Zbl 0696.12023
Prestel, Alexander
2
1990
On the axiomatization of PRC-fields. Zbl 0567.12014
Prestel, Alexander
2
1985
Model theory of fields: An application to positive semidefinite polynomials. Zbl 0577.12018
Prestel, Alexander
2
1984
Positive elimination in valued fields. Zbl 1127.12007
Prestel, Alexander
1
2007
Representation of a real polynomial f(x) as a sum of 2m-th powers of rational functions. Zbl 0738.12001
Prestel, A.; Bradley, M.
1
1989
Mengenlehre für den Mathematiker. Zbl 0625.04001
Friedrichsdorf, Ulf; Prestel, Alexander
1
1985
Lectures on formally \(p\)-adic fields. Zbl 0607.12007
Prestel, Alexander; Roquette, Peter
1
1983
Zahlen. (Numbers). Zbl 0543.00001
Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, Friedrich; Koecher, M.; Mainzer, K.; Prestel, A.; Remmert, Reinhold; Lamotke, K. (ed.)
1
1983
Zur Axiomatisierung gewisser affiner Geometrien. Zbl 0466.12020
Prestel, Alexander
1
1981
Nonaxiomatizability of real general affine geometry. Zbl 0497.03009
Prestel, Alexander; Szczerba, Leslaw W.
1
1979
Definable Henselian valuation rings. Zbl 1372.03080
Prestel, Alexander
3
2015
Uniform definability of henselian valuation rings in the Macintyre language. Zbl 1366.12004
Fehm, Arno; Prestel, Alexander
3
2015
Mathematical logic and model theory. A brief introduction. Zbl 1241.03001
Prestel, Alexander; Delzell, Charles N.
8
2011
Positive elimination in valued fields. Zbl 1127.12007
Prestel, Alexander
1
2007
Valued fields. Zbl 1128.12009
Engler, Antonio J.; Prestel, Alexander
110
2005
Representation of real commutative rings. Zbl 1083.13010
Prestel, Alexander
2
2005
Model theory of real closed rings. Zbl 1018.12009
Prestel, Alexander; Schwartz, Niels
9
2002
Bounds for representations of polynomials positive on compact semi-algebraic sets. Zbl 1015.14030
Prestel, Alexander
2
2002
Positive polynomials. From Hilbert’s 17th problem to real algebra. Zbl 0987.13016
Prestel, Alexander; Delzell, Charles N.
106
2001
Distinguished representations of strictly positive polynomials. Zbl 1015.14029
Jacobi, Thomas; Prestel, Alexander
30
2001
How often can a finite group be realized as a Galois group over a field? Zbl 0976.12004
Jensen, C. U.; Prestel, A.
3
1999
Finitely generated pro-\(p\)-groups as Galois groups of maximal \(p\)-extensions of function fields over \(\mathbb{Q}_ q\). Zbl 0857.12001
Jensen, Christian U.; Prestel, Alexander
6
1996
Sums of \(2m\)-th powers of rational functions in one variable over real closed fields. Zbl 0859.12002
Choi, M. D.; Lam, T. Y.; Prestel, A.; Reznick, B.
3
1996
On Solèr’s characterization of Hilbert spaces. Zbl 0830.46016
Prestel, Alexander
3
1995
Realization of finitely generated profinite groups by maximal abelian extensions of fields. Zbl 0788.12002
Jensen, C. U.; Prestel, A.
2
1994
Zahlen. 3., verb. Aufl. Zbl 0753.00004
Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold; Lamotke, Klaus
3
1992
Unique realizability of finite Abelian 2-groups as Galois groups. Zbl 0756.12002
Jensen, C. U.; Prestel, A.
2
1992
Algebraic number fields elementarily determined by their absolute Galois group. Zbl 0742.12005
Prestel, Alexander
5
1991
Decidability of the rings of real algebraic and \(p\)-adic algebraic integers. Zbl 0717.12006
Prestel, A.; Schmid, J.
3
1991
Integral-valued rational functions on valued fields. Zbl 0771.12003
Prestel, Alexander; Ripoll, Cydara C.
3
1991
Numbers. With an introduction by Klaus Lamotke. Translated by H. L. S. Orde. Edited by John H. Ewing. Paperback ed. Zbl 0741.00003
Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold
2
1991
Numbers. With an introduction by K. Lamotke. Transl. from the 2nd German ed. by H. L. S. Orde. Edited by J. H. Ewing. Zbl 0705.00001
Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, F.; Koecher, M.; Mainzer, K.; Neukirch, J.; Prestel, A.; Remmert, R.
25
1990
Existentially closed domains with radical relations. An axiomatization of the ring of algebraic integers. Zbl 0691.12013
Prestel, A.; Schmid, J.
8
1990
Pseudo real closed fields. Zbl 0696.12023
Prestel, Alexander
2
1990
On trace forms of algebraic function fields. Zbl 0702.11021
Prestel, Alexander
3
1989
Representation of a real polynomial f(x) as a sum of 2m-th powers of rational functions. Zbl 0738.12001
Prestel, A.; Bradley, M.
1
1989
On the size of zeros of quadratic forms over rational function fields. Zbl 0606.10014
Prestel, Alexander
4
1987
Einführung in die mathematische Logik und Modelltheorie. Zbl 0616.03001
Prestel, Alexander
19
1986
On the axiomatization of PRC-fields. Zbl 0567.12014
Prestel, Alexander
2
1985
Mengenlehre für den Mathematiker. Zbl 0625.04001
Friedrichsdorf, Ulf; Prestel, Alexander
1
1985
Lectures on formally real fields. Zbl 0548.12011
Prestel, Alexander
99
1984
Formally \(p\)-adic fields. Zbl 0523.12016
Prestel, Alexander; Roquette, Peter
62
1984
Places of algebraic function fields. Zbl 0535.12015
Kuhlmann, F.-V.; Prestel, A.
13
1984
Reduced stability of the Witt ring of a field and its pythagorean closure. Zbl 0573.10015
Elman, Richard; Prestel, Alexander
12
1984
Fields regularly closed with respect to finitely many valuations and orderings. Zbl 0566.03023
Heinemann, Bernhard; Prestel, Alexander
6
1984
Fields regularly closed with respect to finitely many valuations and orderings. Zbl 0555.12008
Heinemann, B.; Prestel, A.
4
1984
Model theory of fields: An application to positive semidefinite polynomials. Zbl 0577.12018
Prestel, Alexander
2
1984
Lectures on formally \(p\)-adic fields. Zbl 0607.12007
Prestel, Alexander; Roquette, Peter
1
1983
Zahlen. (Numbers). Zbl 0543.00001
Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, Friedrich; Koecher, M.; Mainzer, K.; Prestel, A.; Remmert, Reinhold; Lamotke, K. (ed.)
1
1983
Decidable theories of preordered fields. Zbl 0466.12019
Prestel, Alexander
4
1982
Pseudo real closed fields. Zbl 0466.12018
Prestel, Alexander
5
1981
Zur Axiomatisierung gewisser affiner Geometrien. Zbl 0466.12020
Prestel, Alexander
1
1981
Almost isotropic quadratic forms. Zbl 0408.10009
Prestel, Alexander; Ware, Roger
7
1979
Nonaxiomatizability of real general affine geometry. Zbl 0497.03009
Prestel, Alexander; Szczerba, Leslaw W.
1
1979
Modeltheoretic methods in the theory of topological fields. Zbl 0367.12014
Prestel, Alexander; Ziegler, Martin
32
1978
Remarks on the Pythagoras and Hasse number of real fields. Zbl 0396.10013
Prestel, Alexander
17
1978
Hereditarily Euclidean fields. Zbl 0307.12103
Prestel, Alexander; Ziegler, Martin
4
1975
Lectures on formally real fields. Zbl 0548.12010
Prestel, Alexander
33
1974
Euklidische Geometrie ohne das Axiom von Pasch. Zbl 0288.50003
Prestel, A.
4
1974
On some Hasse principles over formally real fields. Zbl 0277.15013
Elman, Richard; Lam, Tsit-Yuen; Prestel, Alexander
48
1973
Quadratische Semi-Ordnungen und quadratische Formen. Zbl 0275.12013
Prestel, A.
35
1973
Die Fixpunkte der symmetrischen Hilbertschen Modulgruppe zu einem reell- quadratischen Zahlkörper mit Primzahldiskriminante. (The fixal points of the symmetric Hilbert modular group to a real-quadratic number field with prime discriminant). Zbl 0234.10019
Prestel, Alexander
6
1973
Triangle and Schwarz inequality in Pasch-free Euclidean geometry. Zbl 0312.06015
Gupta, H. N.; Prestel, A.
3
1972
On a class of Pasch-free Euclidean planes. Zbl 0243.50001
Gupta, H. N.; Prestel, A.
3
1972
Die elliptischen Fixpunkte der Hilbertschen Modulgruppen. Zbl 0159.11302
Prestel, A.
27
1968
all top 5

Cited by 498 Authors

23 Kuhlmann, Franz-Viktor
16 Prestel, Alexander
16 Zeng, Guangxing
15 Kuhlmann, Salma
15 Wadsworth, Adrian R.
12 Efrat, Ido
12 Khanduja, Sudesh K.
11 Klep, Igor
11 Leep, David B.
10 Jahnke, Franziska
10 Marshall, Murray Angus
10 Netzer, Tim
9 Becher, Karim Johannes
9 Scheiderer, Claus
8 Craven, Thomas C.
8 Engler, Antonio José
8 Jarden, Moshe
8 Schweighofer, Markus
8 Xiao, ShuiJing
7 Fehm, Arno
7 Ghiloni, Riccardo
7 Jakhar, Anuj
7 Putinar, Mihai
7 Ware, Roger
6 Elman, Richard S.
6 Ershov, Yuriĭ Leonidovich
6 Haran, Dan
6 Koenigsmann, Jochen
6 Lasserre, Jean-Bernard
5 Basarab, Serban A.
5 Becker, Eberhard
5 Bélair, Luc
5 Bröcker, Ludwig
5 Hasson, Assaf
5 Helton, John William
5 Perotti, Alessandro
5 Sangwan, Neeraj
5 Schwartz, Niels
5 Tignol, Jean-Pierre
5 Zeng, Xiaoning
4 Astier, Vincent
4 Chacron, Maurice J.
4 Cimprič, Jaka
4 Gamboa Mutuberria, José Manuel
4 Guzy, Nicolas
4 Halevi, Yatir
4 Hirzebruch, Friedrich
4 Hoffmann, Detlev W.
4 Holland, Samuel Shaheen jun.
4 Knebusch, Manfred
4 Kuhlmann, Katarzyna
4 Lam, Tsit-Yuen
4 McCullough, Scott A.
4 Montenegro, Samaria
4 Point, Françoise
4 Pop, Florian
4 Ruiz, Jesús M.
4 Schmüdgen, Konrad
4 Simon, Pierre
4 Smith, Tara L.
4 Unger, Thomas P.
3 Anscombe, Sylvy
3 Arason, Jón Kristinn
3 Bäni, Werner
3 Blaszczok, Anna
3 Brown, Ron
3 Dickmann, Max A.
3 Endler, Otto
3 Fernando, José F.
3 Haskell, Deirdre
3 Helminck, Aloysius G.
3 Huang, Shaoyuan
3 Ishikawa, Hirofumi
3 Jhorar, Bablesh
3 Kriel, Tom-Lukas
3 Krüskemper, Martin
3 Lewis, David W.
3 Lickteig, Thomas
3 Lombardi, Henri
3 Lucas, François
3 Madden, James J.
3 Miraglia, Francisco
3 Nie, Jiawang
3 Olberding, Bruce M.
3 Powers, Victoria Ann
3 Schaub, Daniel
3 Schneider, Volker
3 Shapiro, Daniel Byron
3 Spivakovsky, Mark
3 Spodzieja, Stanisław
3 Stoppato, Caterina
3 Sureson, Claude
3 Thom, Andreas Berthold
3 van den Dries, Lou
3 Van Geel, Jan
2 Ambrozie, Călin-Grigore
2 Blekherman, Grigoriy
2 Bleybel, Ali
2 Brown, Ron
2 Cluckers, Raf
...and 398 more Authors
all top 5

Cited in 140 Serials

59 Journal of Algebra
42 Journal of Pure and Applied Algebra
37 Manuscripta Mathematica
35 Mathematische Zeitschrift
34 Transactions of the American Mathematical Society
27 Israel Journal of Mathematics
22 Communications in Algebra
19 Mathematische Annalen
18 Annals of Pure and Applied Logic
14 The Journal of Symbolic Logic
13 Proceedings of the American Mathematical Society
11 Linear Algebra and its Applications
10 Archiv der Mathematik
10 Journal of Number Theory
8 Advances in Mathematics
8 Journal of Symbolic Computation
7 Archive for Mathematical Logic
6 Inventiones Mathematicae
6 Nagoya Mathematical Journal
6 Indagationes Mathematicae. New Series
6 Mathematical Logic Quarterly (MLQ)
5 Journal of Complexity
5 Mathematical Programming. Series A. Series B
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Algebra and its Applications
4 Rocky Mountain Journal of Mathematics
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Algebra and Logic
4 Order
4 Journal of Global Optimization
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Compositio Mathematica
3 Proceedings of the Japan Academy. Series A
3 Results in Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 SIAM Journal on Optimization
3 Positivity
3 Journal of Mathematical Logic
3 Science China. Mathematics
2 Bulletin of the Australian Mathematical Society
2 Journal of Mathematical Analysis and Applications
2 Acta Mathematica
2 Bulletin of the London Mathematical Society
2 Calcolo
2 Geometriae Dedicata
2 Journal of Optimization Theory and Applications
2 Journal für die Reine und Angewandte Mathematik
2 Monatshefte für Mathematik
2 Theoretical Computer Science
2 Journal of the American Mathematical Society
2 Expositiones Mathematicae
2 Advances in Applied Clifford Algebras
2 The Bulletin of Symbolic Logic
2 Algebras and Representation Theory
2 Journal of the Institute of Mathematics of Jussieu
2 Formalized Mathematics
2 Journal de l’École Polytechnique – Mathématiques
1 Artificial Intelligence
1 Archive for Rational Mechanics and Analysis
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Arkiv för Matematik
1 Mathematics of Computation
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Boletim da Sociedade Brasileira de Matemática
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Integral Equations and Operator Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal of Geometry
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Numerical Functional Analysis and Optimization
1 Pacific Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Semigroup Forum
1 Synthese
1 Topology and its Applications
1 Zeitschrift für Analysis und ihre Anwendungen
1 Applied Numerical Mathematics
1 Optimization
1 Discrete & Computational Geometry
1 Revista Matemática Iberoamericana
1 Journal of Automated Reasoning
1 Forum Mathematicum
1 Science in China. Series A
1 Differential Geometry and its Applications
1 Aequationes Mathematicae
1 Elemente der Mathematik
1 European Journal of Operational Research
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Mémoires de la Société Mathématique de France. Nouvelle Série
...and 40 more Serials
all top 5

Cited in 48 Fields

299 Field theory and polynomials (12-XX)
187 Number theory (11-XX)
159 Algebraic geometry (14-XX)
136 Commutative algebra (13-XX)
125 Mathematical logic and foundations (03-XX)
54 Associative rings and algebras (16-XX)
37 Order, lattices, ordered algebraic structures (06-XX)
37 Operations research, mathematical programming (90-XX)
36 Group theory and generalizations (20-XX)
35 Linear and multilinear algebra; matrix theory (15-XX)
20 Functional analysis (46-XX)
20 Computer science (68-XX)
18 Operator theory (47-XX)
17 Nonassociative rings and algebras (17-XX)
14 Several complex variables and analytic spaces (32-XX)
12 Integral transforms, operational calculus (44-XX)
11 Numerical analysis (65-XX)
10 Real functions (26-XX)
10 Functions of a complex variable (30-XX)
9 Ordinary differential equations (34-XX)
8 \(K\)-theory (19-XX)
8 Geometry (51-XX)
8 Convex and discrete geometry (52-XX)
8 General topology (54-XX)
6 Category theory; homological algebra (18-XX)
5 Differential geometry (53-XX)
4 History and biography (01-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 General algebraic systems (08-XX)
3 Topological groups, Lie groups (22-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Biology and other natural sciences (92-XX)
2 Partial differential equations (35-XX)
2 Algebraic topology (55-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Quantum theory (81-XX)
2 Systems theory; control (93-XX)
1 Measure and integration (28-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Information and communication theory, circuits (94-XX)

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