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## Hersh, Reuben

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 Author ID: hersh.reuben Published as: Hersh, R.; Hersh, Reuben External Links: MGP · Wikidata · MathOverflow · ORCID · dblp · GND
 Documents Indexed: 73 Publications since 1963, including 18 Books Biographic References: 3 Publications
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#### Co-Authors

 43 single-authored 12 Davis, Philip J. 3 Griego, Richard J. 3 John-Steiner, Vera 3 Marchisotto, Elena Anne Corie 3 Papanicolaou, George C. 2 Donaldson, James Ashley 1 Bobisud, Larry E. 1 Che, Y. W. 1 Cogburn, Robert 1 Gibson, Archie G. 1 Greenwood, Priscilla E. 1 Kato, Tosio 1 Pinsky, Mark Allan 1 Steinberg, Stanly L.
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#### Serials

 9 The Mathematical Intelligencer 4 American Mathematical Monthly 3 Archive for Rational Mechanics and Analysis 3 Indiana University Mathematics Journal 3 Proceedings of the National Academy of Sciences of the United States of America 2 Communications on Pure and Applied Mathematics 2 Rocky Mountain Journal of Mathematics 2 Journal of Differential Equations 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Journal of Mathematics and Mechanics 2 The College Mathematics Journal 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Advances in Mathematics 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Synthese 1 Philosophia Mathematica. Series III 1 European Mathematical Society Newsletter 1 Journal of Mathematics and the Arts 1 Modern Birkhäuser Classics
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#### Fields

 34 General and overarching topics; collections (00-XX) 17 History and biography (01-XX) 10 Mathematical logic and foundations (03-XX) 10 Partial differential equations (35-XX) 9 Probability theory and stochastic processes (60-XX) 4 Mathematics education (97-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 2 Integral transforms, operational calculus (44-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

46 Publications have been cited 390 times in 294 Documents Cited by Year
Mixed problems in several variables. Zbl 0149.06602
Hersh, R.
1963
Theory of random evolutions with applications to partial differential equations. Zbl 0223.35082
Griego, Richard; Hersh, Reuben
1971
Random evolutions, Markov chains, and systems for partial differential equations. Zbl 0174.15401
Griego, R. J.; Hersh, R.
1969
Random evolutions: A survey of results and problems. Zbl 0366.60005
Hersh, Reuben
1974
High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036
Hersh, Reuben; Kato, Tosio
1979
Explicit solution of a class of higher-order abstract Cauchy problems. Zbl 0208.38603
Hersh, R.
1970
Boundary conditions for equations of evolution. Zbl 0149.05902
Hersh, R.
1964
What is mathematics, really? Zbl 0913.00010
Hersh, Reuben
1997
The mathematical experience. With an introduction by Gian-Carlo Rota. Zbl 0459.00001
Davis, Philip J.; Hersh, Reuben
1980
Random evolutions are asymptotically Gaussian. Zbl 0226.60103
Hersh, R.; Pinsky, M.
1972
Some proposals for reviving the philosophy of mathematics. Zbl 0398.00023
Hersh, Reuben
1979
Non-commuting random evolutions, and an operator-valued Feynman-Kac formula. Zbl 0232.60054
Hersh, R.; Papanicolaou, G.
1972
Some limit theorems for stochastic equations and applications. Zbl 0222.60037
Papanicolaou, George C.; Hersh, R.
1972
Two limit theorems for random differential equations. Zbl 0246.60048
Cogburn, R.; Hersh, R.
1973
Direct solution of general one-dimensional linear parabolic equation via an abstract Plancherel formula. Zbl 0179.43001
Hersh, R.
1969
Hyperbolic equations with coefficients in an enveloping algebra. Zbl 0393.35041
Hersh, Reuben; Steinberg, Stanley
1979
Mathematics has a front and a back. Zbl 0739.00002
Hersh, Reuben
1991
18 unconventional essays on the nature of mathematics. Zbl 1081.00005
Hersh, Reuben (ed.)
2006
Descartes’ dream. The world according to mathematics. Zbl 0643.00001
Davis, Philip J.; Hersh, Reuben
1986
On the invariance principle of scattering theory. Zbl 0265.47005
Donaldson, J. A.; Gibson, A. G.; Hersh, R.
1973
Perturbation and approximation theory for higher-order abstract Cauchy problems. Zbl 0249.34048
Bobisud, L.; Hersh, R.
1972
On surface waves with finite and infinite speed of propagation. Zbl 0145.13803
Hersh, R.
1965
Loving and hating mathematics. Challenging the myths of mathematical life. Zbl 1238.01119
Hersh, Reuben; John-Steiner, Vera
2011
How to classify differential polynomials. Zbl 0273.35003
Hersh, Reuben
1973
A perturbation series for Cauchy’s problem for higher-order abstract parabolic equations. Zbl 0203.10203
Donaldson, J. A.; Hersh, R.
1970
A class of ’central limit theorems’ for convolution products of generalized functions. Zbl 0181.14903
Hersh, R.
1969
On vibration, diffusion, or equilibrium across a plane interface. Zbl 0173.36405
Hersh, R.
1966
Experiencing mathematics. What do we do, when we do mathematics? Zbl 1287.00012
Hersh, Reuben
2014
Prove - once more and again. Zbl 1019.00502
Hersh, Reuben
1997
Math lingo vs. plain English: Double entendre. Zbl 0923.00005
Hersh, Reuben
1997
Fresh breezes in the philosophy of mathematics. Zbl 0874.00016
Hersh, Reuben
1995
The mathematical experience. Study ed. Zbl 0837.00001
Davis, Philip J.; Hersh, Reuben; Marchisotto, Elena Anne
1995
Stochastic differentials and quasi-standard random variables. Zbl 0312.60027
Greenwood, P.; Hersh, R.
1975
Why the Faulhaber polynomials are sums of even or odd powers of $$(n+1/2)$$. Zbl 1267.97006
Hersh, Reuben
2012
The mathematical experience. Study edition. With an introduction by Gian-Carlo Rota. Reprint of the 1995 edition, updated with epilogues by the authors. Zbl 1230.00003
Davis, Philip J.; Hersh, Reuben; Marchisotto, Elena Anne
2012
Under-represented then over-represented. A memoir of Jews in American mathematics. Zbl 1273.01035
Hersh, Reuben
2010
Inner vision, outer truth. Zbl 1163.00303
Hersh, Reuben
2006
What is mathematics, really? Zbl 0932.00005
Hersh, Reuben
1999
What is mathematics, really? Zbl 1288.00039
Hersh, Reuben
1998
The mathematical experience. With an introduction by Gian-Carlo Rota. Reprint. Zbl 0513.00023
Davis, Philip J.; Hersh, Reuben
1982
Weyl’s theorem for certain operator-valued potentials. Zbl 0357.35041
Griego, Richard J.; Hersh, Reuben
1978
The method of transmutations. Zbl 0311.44007
Hersh, Reuben
1975
Stochastic solutions of hyperbolic equations. Zbl 0309.35045
Hersh, Reuben
1975
Non-commuting evolutions and an operator-valued Feynman-Kac formula. Zbl 0226.60092
Hersh, R.; Papanicolaou, G.
1972
On the general theory of mixed problems. Zbl 0189.10302
Hersh, R.
1970
On the theory of difference schemes for mixed initial boundary value problems. Zbl 0172.19902
Hersh, R.
1968
Experiencing mathematics. What do we do, when we do mathematics? Zbl 1287.00012
Hersh, Reuben
2014
Why the Faulhaber polynomials are sums of even or odd powers of $$(n+1/2)$$. Zbl 1267.97006
Hersh, Reuben
2012
The mathematical experience. Study edition. With an introduction by Gian-Carlo Rota. Reprint of the 1995 edition, updated with epilogues by the authors. Zbl 1230.00003
Davis, Philip J.; Hersh, Reuben; Marchisotto, Elena Anne
2012
Loving and hating mathematics. Challenging the myths of mathematical life. Zbl 1238.01119
Hersh, Reuben; John-Steiner, Vera
2011
Under-represented then over-represented. A memoir of Jews in American mathematics. Zbl 1273.01035
Hersh, Reuben
2010
18 unconventional essays on the nature of mathematics. Zbl 1081.00005
Hersh, Reuben (ed.)
2006
Inner vision, outer truth. Zbl 1163.00303
Hersh, Reuben
2006
What is mathematics, really? Zbl 0932.00005
Hersh, Reuben
1999
What is mathematics, really? Zbl 1288.00039
Hersh, Reuben
1998
What is mathematics, really? Zbl 0913.00010
Hersh, Reuben
1997
Prove - once more and again. Zbl 1019.00502
Hersh, Reuben
1997
Math lingo vs. plain English: Double entendre. Zbl 0923.00005
Hersh, Reuben
1997
Fresh breezes in the philosophy of mathematics. Zbl 0874.00016
Hersh, Reuben
1995
The mathematical experience. Study ed. Zbl 0837.00001
Davis, Philip J.; Hersh, Reuben; Marchisotto, Elena Anne
1995
Mathematics has a front and a back. Zbl 0739.00002
Hersh, Reuben
1991
Descartes’ dream. The world according to mathematics. Zbl 0643.00001
Davis, Philip J.; Hersh, Reuben
1986
The mathematical experience. With an introduction by Gian-Carlo Rota. Reprint. Zbl 0513.00023
Davis, Philip J.; Hersh, Reuben
1982
The mathematical experience. With an introduction by Gian-Carlo Rota. Zbl 0459.00001
Davis, Philip J.; Hersh, Reuben
1980
High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036
Hersh, Reuben; Kato, Tosio
1979
Some proposals for reviving the philosophy of mathematics. Zbl 0398.00023
Hersh, Reuben
1979
Hyperbolic equations with coefficients in an enveloping algebra. Zbl 0393.35041
Hersh, Reuben; Steinberg, Stanley
1979
Weyl’s theorem for certain operator-valued potentials. Zbl 0357.35041
Griego, Richard J.; Hersh, Reuben
1978
Stochastic differentials and quasi-standard random variables. Zbl 0312.60027
Greenwood, P.; Hersh, R.
1975
The method of transmutations. Zbl 0311.44007
Hersh, Reuben
1975
Stochastic solutions of hyperbolic equations. Zbl 0309.35045
Hersh, Reuben
1975
Random evolutions: A survey of results and problems. Zbl 0366.60005
Hersh, Reuben
1974
Two limit theorems for random differential equations. Zbl 0246.60048
Cogburn, R.; Hersh, R.
1973
On the invariance principle of scattering theory. Zbl 0265.47005
Donaldson, J. A.; Gibson, A. G.; Hersh, R.
1973
How to classify differential polynomials. Zbl 0273.35003
Hersh, Reuben
1973
Random evolutions are asymptotically Gaussian. Zbl 0226.60103
Hersh, R.; Pinsky, M.
1972
Non-commuting random evolutions, and an operator-valued Feynman-Kac formula. Zbl 0232.60054
Hersh, R.; Papanicolaou, G.
1972
Some limit theorems for stochastic equations and applications. Zbl 0222.60037
Papanicolaou, George C.; Hersh, R.
1972
Perturbation and approximation theory for higher-order abstract Cauchy problems. Zbl 0249.34048
Bobisud, L.; Hersh, R.
1972
Non-commuting evolutions and an operator-valued Feynman-Kac formula. Zbl 0226.60092
Hersh, R.; Papanicolaou, G.
1972
Theory of random evolutions with applications to partial differential equations. Zbl 0223.35082
Griego, Richard; Hersh, Reuben
1971
Explicit solution of a class of higher-order abstract Cauchy problems. Zbl 0208.38603
Hersh, R.
1970
A perturbation series for Cauchy’s problem for higher-order abstract parabolic equations. Zbl 0203.10203
Donaldson, J. A.; Hersh, R.
1970
On the general theory of mixed problems. Zbl 0189.10302
Hersh, R.
1970
Random evolutions, Markov chains, and systems for partial differential equations. Zbl 0174.15401
Griego, R. J.; Hersh, R.
1969
Direct solution of general one-dimensional linear parabolic equation via an abstract Plancherel formula. Zbl 0179.43001
Hersh, R.
1969
A class of ’central limit theorems’ for convolution products of generalized functions. Zbl 0181.14903
Hersh, R.
1969
On the theory of difference schemes for mixed initial boundary value problems. Zbl 0172.19902
Hersh, R.
1968
On vibration, diffusion, or equilibrium across a plane interface. Zbl 0173.36405
Hersh, R.
1966
On surface waves with finite and infinite speed of propagation. Zbl 0145.13803
Hersh, R.
1965
Boundary conditions for equations of evolution. Zbl 0149.05902
Hersh, R.
1964
Mixed problems in several variables. Zbl 0149.06602
Hersh, R.
1963
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#### Cited by 321 Authors

 12 Hersh, Reuben 6 Bragg, Louis R. 6 Horbacz, Katarzyna 5 Bobrowski, Adam 5 Matsumura, Mutsuhide 5 Neubrander, Frank 5 Papanicolaou, George C. 4 Anisimov, Vladimir Vladislavovič 4 Becus, Georges A. 4 Benoit, Antoine 4 Cellucci, Carlo 4 Kertz, Robert P. 4 Korolyuk, Volodymyr Semenovych 4 Palencia, Cesar 3 Aberdein, Andrew 3 Ashyralyev, Allaberen 3 Benzoni-Gavage, Sylvie 3 Bobisud, Larry E. 3 Carroll, Robert W. 3 Cohen, Joel E. 3 Coulombel, Jean-François 3 Donaldson, James Ashley 3 Gomilko, Alexandre M. 3 Jara, Patricio 3 Kurtz, Thomas Gordon 3 Selezov, Igor Timofeevich 3 Tomilov, Yuri 3 Trakhinin, Yuri L. 2 Alonso-Mallo, Isaías 2 Anderson, Robert M. 2 Davis, Paul L. 2 Ernest, Paul 2 Freistühler, Heinrich 2 Gibson, Archie G. 2 Griego, Richard J. 2 Janssen, Arnold 2 Jódar Sanchez, Lucas Antonio 2 Karaali, Gizem 2 Katz, Mikhail G. 2 Kim, Jeong-Hoon 2 Kohler, Werner E. 2 Kovács, Mihály 2 Kryvonos, Iu. G. 2 Larvor, Brendan P. 2 Limnios, Nikolaos 2 Liu, Xiqiang 2 McAllister, Sarah 2 Milstein, Grigori N. 2 Osher, Stanley Joel 2 Özer, Koray 2 Pease, Alison 2 Pinsky, Mark Allan 2 Piskarëv, S. I. 2 Plaza, Ramón G. 2 Rauch, Jeffrey B. 2 Rosen, I. Gary 2 Rosencrans, Steven I. 2 Samoilenko, Igor V. 2 Swart, Jan H. 2 Swishchuk, Anatoliy 2 Van Kerkhove, Bart 2 Yan, Zhilian 1 Accardi, Luigi 1 Albeverio, Sergio A. 1 Alcolea-Banegas, Jesús 1 Ali, Ahmet T. 1 Arosio, Alberto 1 Artalejo, Jesus R. 1 Assous, Franck 1 Attallah, S. K. 1 Babovsky, Hans 1 Banks, Harvey Thomas 1 Batty, Charles J. K. 1 Beals, Richard W. 1 Becker, Kai Helge 1 Belopol’skaya, Yana Isaevna 1 Berger, Marcel 1 Bielaczyc, Tomasz 1 Borwein, Jonathan Michael 1 Borwein, Naomi Simone 1 Bouleau, Nicolas 1 Branicki, Michał 1 Bridges, Douglas Suth 1 Brissaud, A. 1 Budzyńska, Katarzyna 1 Burns, Anne M. 1 Burridge, Robert 1 Butzer, Paul Leo 1 Calvo, M. P. 1 Cano, Begoña 1 Catania, Davide 1 Cereceda, José Luis 1 Chandler, Colston 1 Chazarain, Jacques 1 Chen, Nan 1 Chen, Robin Ming 1 Colyvan, Mark 1 Conejero, José Alberto 1 Corneli, Joseph 1 Corry, Leo ...and 221 more Authors
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#### Cited in 122 Serials

 16 Journal of Mathematical Analysis and Applications 16 The Mathematical Intelligencer 15 Journal of Differential Equations 10 Foundations of Science 8 Archive for Rational Mechanics and Analysis 8 Journal of Functional Analysis 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Proceedings of the American Mathematical Society 7 Stochastic Processes and their Applications 6 Journal of Mathematical Physics 6 Mathematics of Computation 6 Transactions of the American Mathematical Society 6 Bulletin of the American Mathematical Society 5 Proceedings of the Japan Academy 4 Applied Mathematics and Computation 4 Applied Numerical Mathematics 3 Annales de l’Institut Fourier 3 Mathematische Annalen 3 Semigroup Forum 3 Synthese 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Acta Applicandae Mathematicae 3 Mathematical and Computer Modelling 3 Linear Algebra and its Applications 3 Cybernetics and Systems Analysis 3 Journal of Evolution Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 International Journal of Mathematical Education in Science and Technology 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 Mathematische Semesterberichte 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Prikladnaya Matematika i Mekhanika 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Siberian Mathematical Journal 2 Stochastic Analysis and Applications 2 Probability Theory and Related Fields 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Top 2 Erkenntnis 2 Communications in Nonlinear Science and Numerical Simulation 2 Foundations of Physics 2 The Review of Symbolic Logic 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Artificial Intelligence 1 International Journal of Engineering Science 1 Israel Journal of Mathematics 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Moscow University Mathematics Bulletin 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Transport Theory and Statistical Physics 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 Theoretical and Computational Fluid Dynamics 1 Chaos, Solitons and Fractals 1 Science & Education 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Indiana University Mathematics Journal 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Journal of Natural Sciences and Mathematics 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Theoretical Population Biology 1 European Journal of Combinatorics 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Annals of Pure and Applied Logic 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Theoretical Probability 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Communications in Statistics. Theory and Methods 1 Elemente der Mathematik 1 European Journal of Operational Research 1 Bulletin of the American Mathematical Society. New Series ...and 22 more Serials
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#### Cited in 46 Fields

 108 Partial differential equations (35-XX) 80 Probability theory and stochastic processes (60-XX) 48 General and overarching topics; collections (00-XX) 47 Operator theory (47-XX) 33 Numerical analysis (65-XX) 32 Ordinary differential equations (34-XX) 16 History and biography (01-XX) 14 Fluid mechanics (76-XX) 12 Mathematical logic and foundations (03-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Mechanics of deformable solids (74-XX) 10 Biology and other natural sciences (92-XX) 6 Functional analysis (46-XX) 5 Integral equations (45-XX) 5 Optics, electromagnetic theory (78-XX) 5 Quantum theory (81-XX) 5 Mathematics education (97-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mechanics of particles and systems (70-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.