Richtmyer, Robert D.
Overview
Works:  73 works in 278 publications in 5 languages and 3,351 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA431, 530.15 
Publication Timeline
.
Most widely held works about
Robert D Richtmyer
 Oral history interview with Akira Kasahara by Akira Kasahara( )
 Oral history interview with Henry Louis Brakel by Henry Louis Brakel( )
 Oral history interview with Richard Garwin by Richard L Garwin( )
 Oral history interview with Cecil E. "Chuck" Leith by Cecil E Leith( )
 Oral history interview with Robert Richtmyer by Robert D Richtmyer( )
 Oral history interview with Nicholas Metropolis by N Metropolis( )
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Most widely held works by
Robert D Richtmyer
Difference methods for initialvalue problems by
Robert D Richtmyer(
Book
)
58 editions published between 1957 and 2013 in 3 languages and held by 1,193 WorldCat member libraries worldwide
58 editions published between 1957 and 2013 in 3 languages and held by 1,193 WorldCat member libraries worldwide
Principles of advanced mathematical physics by
R. D Richtmyer(
Book
)
27 editions published between 1978 and 1985 in 3 languages and held by 575 WorldCat member libraries worldwide
27 editions published between 1978 and 1985 in 3 languages and held by 575 WorldCat member libraries worldwide
Introduction to hyperbolic geometry by
Arlan Ramsay(
Book
)
18 editions published between 1994 and 2008 in English and held by 510 WorldCat member libraries worldwide
This text for advanced undergraduates emphasizes the logical connections of the subject. The derivations of formulas from the axioms do not make use of models of the hyperbolic plane until the axioms are shown to be categorical; the differential geometry of surfaces is developed far enough to establish its connections to the hyperbolic plane; and the axioms and proofs use the properties of the real number system to avoid the tedium of a completely synthetic approach. The development includes properties of the isometry group of the hyperbolic plane, tilings, and applications to special relativity. Elementary techniques from complex analysis, matrix theory, and group theory are used, and some mathematical sophistication on the part of students is thus required, but a formal course in these topics is not a prerequisite
18 editions published between 1994 and 2008 in English and held by 510 WorldCat member libraries worldwide
This text for advanced undergraduates emphasizes the logical connections of the subject. The derivations of formulas from the axioms do not make use of models of the hyperbolic plane until the axioms are shown to be categorical; the differential geometry of surfaces is developed far enough to establish its connections to the hyperbolic plane; and the axioms and proofs use the properties of the real number system to avoid the tedium of a completely synthetic approach. The development includes properties of the isometry group of the hyperbolic plane, tilings, and applications to special relativity. Elementary techniques from complex analysis, matrix theory, and group theory are used, and some mathematical sophistication on the part of students is thus required, but a formal course in these topics is not a prerequisite
Proceedings of the Fourth International Conference on Numerical Methods in Fluid Dynamics, June 2428, 1974, University of
Colorado by
Robert D Richtmyer(
Book
)
18 editions published in 1975 in English and German and held by 269 WorldCat member libraries worldwide
18 editions published in 1975 in English and German and held by 269 WorldCat member libraries worldwide
Principles of advanced mathematical physics by
Robert D Richtmyer(
Book
)
39 editions published between 1978 and 2014 in 3 languages and held by 147 WorldCat member libraries worldwide
A first consequence of this difference in texture concerns the attitude we must take toward some (or perhaps most) investigations in "applied mathe matics," at least when the mathematics is applied to physics. Namely, those investigations have to be regarded as pure mathematics and evaluated as such. For example, some of my mathematical colleagues have worked in recent years on the HartreeFock approximate method for determining the structures of manyelectron atoms and ions. When the method was intro duced, nearly fifty years ago, physicists did the best they could to justify it, using variational principles, intuition, and other techniques within the texture of physical reasoning. By now the method has long since become part of the established structure of physics. The mathematical theorems that can be proved now (mostly for two and threeelectron systems, hence of limited interest for physics), have to be regarded as mathematics. If they are good mathematics (and I believe they are), that is justification enough. If they are not, there is no basis for saying that the work is being done to help the physicists. In that sense, applied mathematics plays no role in today's physics. In today's division of labor, the task of the mathematician is to create mathematics, in whatever area, without being much concerned about how the mathematics is used; that should be decided in the future and by physics
39 editions published between 1978 and 2014 in 3 languages and held by 147 WorldCat member libraries worldwide
A first consequence of this difference in texture concerns the attitude we must take toward some (or perhaps most) investigations in "applied mathe matics," at least when the mathematics is applied to physics. Namely, those investigations have to be regarded as pure mathematics and evaluated as such. For example, some of my mathematical colleagues have worked in recent years on the HartreeFock approximate method for determining the structures of manyelectron atoms and ions. When the method was intro duced, nearly fifty years ago, physicists did the best they could to justify it, using variational principles, intuition, and other techniques within the texture of physical reasoning. By now the method has long since become part of the established structure of physics. The mathematical theorems that can be proved now (mostly for two and threeelectron systems, hence of limited interest for physics), have to be regarded as mathematics. If they are good mathematics (and I believe they are), that is justification enough. If they are not, there is no basis for saying that the work is being done to help the physicists. In that sense, applied mathematics plays no role in today's physics. In today's division of labor, the task of the mathematician is to create mathematics, in whatever area, without being much concerned about how the mathematics is used; that should be decided in the future and by physics
Introduction to electromagnetic theory by
Robert D Richtmyer(
Book
)
7 editions published in 1964 in English and held by 125 WorldCat member libraries worldwide
7 editions published in 1964 in English and held by 125 WorldCat member libraries worldwide
Proceedings of the Fourth International Conference on Numerical Methods in Fluid Dynamics : June 2428, 1974, University of
Colorado by
Robert D Richtmyer(
)
2 editions published in 1975 in English and held by 63 WorldCat member libraries worldwide
2 editions published in 1975 in English and held by 63 WorldCat member libraries worldwide
A survey of difference methods for nonsteady fluid dynamics by
Robert D Richtmyer(
Book
)
6 editions published between 1962 and 1993 in English and held by 27 WorldCat member libraries worldwide
6 editions published between 1962 and 1993 in English and held by 27 WorldCat member libraries worldwide
Raznostnye metody rešenija kraevych zadač by
Robert D Richtmyer(
Book
)
10 editions published between 1960 and 1972 in Russian and held by 16 WorldCat member libraries worldwide
10 editions published between 1960 and 1972 in Russian and held by 16 WorldCat member libraries worldwide
Principy sovremennoj matematičeskoj fiziki by
Robert D Richtmyer(
Book
)
6 editions published between 1982 and 1984 in Russian and held by 12 WorldCat member libraries worldwide
6 editions published between 1982 and 1984 in Russian and held by 12 WorldCat member libraries worldwide
Proceedings ... by International Conference on Numerical Methods in Fluid Mechanics(
Book
)
1 edition published in 1975 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1975 in English and held by 9 WorldCat member libraries worldwide
Principy sovremennoj matematičeskoj fiziki by
Robert D Richtmyer(
Book
)
1 edition published in 1982 in Russian and held by 7 WorldCat member libraries worldwide
1 edition published in 1982 in Russian and held by 7 WorldCat member libraries worldwide
Čislennoe rešenie zadač gidromechaniki(
Book
)
2 editions published in 1977 in Russian and held by 7 WorldCat member libraries worldwide
2 editions published in 1977 in Russian and held by 7 WorldCat member libraries worldwide
Proceedings of the fourth International Conference on Numerical Methods in Fluid Dynamics : (Boulder  Col.), June 2428,
1974(
Book
)
2 editions published in 1975 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1975 in English and held by 6 WorldCat member libraries worldwide
Print︠s︡ipy sovremennoĭ matematicheskoĭ fiziki by
Robert D Richtmyer(
Book
)
in Russian and held by 4 WorldCat member libraries worldwide
in Russian and held by 4 WorldCat member libraries worldwide
Principles of advanced mathematical physics by
Robert D Richtmyer(
Book
)
2 editions published in 1985 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1985 in English and held by 4 WorldCat member libraries worldwide
A method for the calculation of invariant manifolds in hydrodynamic stability problems by
Robert D Richtmyer(
Book
)
1 edition published in 1981 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 4 WorldCat member libraries worldwide
The evaluation of definite integrals, and a quasiMonteCarlo method based on the properties of algebraic numbers by
Robert D Richtmyer(
Book
)
2 editions published in 1952 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1952 in English and held by 3 WorldCat member libraries worldwide
Chu zhi wen ti de cha fen fang fa by
Robert D Richtmyer(
Book
)
2 editions published between 1966 and 1992 in Chinese and held by 3 WorldCat member libraries worldwide
2 editions published between 1966 and 1992 in Chinese and held by 3 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Morton, K. W. Author
 Ramsay, Arlan Author
 Courant Institute of Mathematical Sciences
 U.S. Atomic Energy Commission
 Los Alamos Scientific Laboratory
 Kondrašov, V. E.
 Teller, Edward 19082003
 International Conference on Numerical Methods in Fluid Dynamics
 Los Alamos National Laboratory
 Kurâkin, V. F.
Useful Links
Associated Subjects
Arakawa, Akio Benedict, Francis Gano, Bradbury, Norris, Charney, Jule G Climatic changes Computers Cornell University Definite integrals Difference equations Differential equations Electricity Electromagnetism ENIAC (Computer) Fermi, Enrico, Fluid dynamics Fluids Geometry, Hyperbolic Heisenberg, Werner, Initial value problems Invariant subspaces Los Alamos National Laboratory Manhattan Project (U.S.) Manifolds (Mathematics) Mathematical physics Merritt, Ernest, Meteorology Mintz, Yale National Center for Atmospheric Research (U.S.) Nichols, E. L.(Edward Leamington), Nuclear weapons Numerical analysis Numerical calculations Numerical weather forecasting Obukhov, A. M.(Aleksandr Mikhaĭlovich), Osborn, Frederick A.(Frederick Arthur), Physics Rex, D. F.(Daniel Ferrell), Richardson, Lewis F., Richtmyer, Robert D Riehl, Herbert, Smagorinsky, J.(Joseph) Taylor vortices Teller, Edward, Thompson, Philip Duncan Tōkyō Daigaku University of California, Davis University of Washington.Department of Physics Von Neumann, John, Washington, Warren M Weather control
Alternative Names
Richtmajer, R. 19102003
Richtmajer, R. D. 19102003
Richtmajer, Robert Davis 19102003
Richtmyer, R.D.
Richtmyer, R. D. 19102003
Richtmyer, R. D. (Robert D.)
Richtmyer, Robert 19102003
Richtmyer, Robert D.
Richtmyer, Robert D. 19102003
Rihtmajer, R.
Rihtmajer, R. D.
Rihtmajer, Robert.
Rikhtmaĭer. R
Rikhtmaĭer, R. (Robert)
Rikhtmaĭer. Robert
Robert D. Richtmyer Amerikaans wiskundige (19102003)
Robert D. Richtmyer amerikansk fysikar og matematikar
Robert D. Richtmyer amerikansk fysiker och matematiker
Robert D. Richtmyer amerikansk fysiker og matematiker
Robert D. Richtmyer matematico statunitense
Robert Richtmyer
Robert Richtmyer USamerikanischer Physiker und Mathematiker
رابرت دی ریچمیر ریاضیدان و فیزیکدان آمریکایی
ロバート・D・リヒトマイヤー
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