Carrier, George F.
Overview
Works:  92 works in 253 publications in 3 languages and 3,777 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA374, 515.353 
Publication Timeline
.
Most widely held works about
George F Carrier
 Oral history interview with Thomas Richard Anthony by Thomas Richard Anthony( )
 Oral history interview with Eugene Avrett by Eugene H Avrett( )
 Carrier, George Francis : Engineering & Applied Mathematics( )
Most widely held works by
George F Carrier
Partial differential equations : theory and technique by
George F Carrier(
Book
)
36 editions published between 1976 and 2014 in English and Undetermined and held by 938 WorldCat member libraries worldwide
This is the second edition of the wellestablished text in partial differential equations, emphasizing modern, practical solution techniques. This updated edition includes a new chapter on transform methods and a new section on integral equations in the numerical methods chapter. The authors have also included additional exercises
36 editions published between 1976 and 2014 in English and Undetermined and held by 938 WorldCat member libraries worldwide
This is the second edition of the wellestablished text in partial differential equations, emphasizing modern, practical solution techniques. This updated edition includes a new chapter on transform methods and a new section on integral equations in the numerical methods chapter. The authors have also included additional exercises
Functions of a complex variable : theory and technique by
George F Carrier(
Book
)
45 editions published between 1966 and 2005 in 3 languages and held by 853 WorldCat member libraries worldwide
Makes available to readers a comprehensive range of analytical techniques based on the complex variable theory. The authors provide many exercises, incorporating them into the body of the text. This book is intended for applied mathematicians, scientists, engineers, and senior or graduatelevel students, who have advanced knowledge of calculus
45 editions published between 1966 and 2005 in 3 languages and held by 853 WorldCat member libraries worldwide
Makes available to readers a comprehensive range of analytical techniques based on the complex variable theory. The authors provide many exercises, incorporating them into the body of the text. This book is intended for applied mathematicians, scientists, engineers, and senior or graduatelevel students, who have advanced knowledge of calculus
Studies in applied mathematics by
A. H Taub(
Book
)
7 editions published in 1971 in English and held by 720 WorldCat member libraries worldwide
7 editions published in 1971 in English and held by 720 WorldCat member libraries worldwide
Ordinary differential equations by
George F Carrier(
Book
)
35 editions published between 1958 and 1991 in English and Undetermined and held by 606 WorldCat member libraries worldwide
Offers an alternative to the "rote" approach of presenting standard categories of differential equations accompanied by routine problem sets. The exercises presented amplify and provide perspective for the material, often giving readers opportunity for ingenuity. Little or no previous acquaintance with the subject is required to learn usage of techniques for constructing solutions of differential equations in this reprint volume
35 editions published between 1958 and 1991 in English and Undetermined and held by 606 WorldCat member libraries worldwide
Offers an alternative to the "rote" approach of presenting standard categories of differential equations accompanied by routine problem sets. The exercises presented amplify and provide perspective for the material, often giving readers opportunity for ingenuity. Little or no previous acquaintance with the subject is required to learn usage of techniques for constructing solutions of differential equations in this reprint volume
Aerodynamics of high speed; facsimiles of nineteen fundamental studies as they were originally reported in the scientific
journals by
George F Carrier(
Book
)
6 editions published in 1951 in English and held by 116 WorldCat member libraries worldwide
6 editions published in 1951 in English and held by 116 WorldCat member libraries worldwide
Towards windaided flame spread along a horizontal charring slab : the steady flow problem by
George F Carrier(
Book
)
2 editions published between 1981 and 1983 in English and held by 68 WorldCat member libraries worldwide
The spread of fire across the ceiling of a large room (or long corridor) in a structure is modeled as windaided flame spread along a horizontal charforming thick slab, in the presence of significant convective, diffusive, and radiative transport. The goal is to predict the rate of streamwise advance of the site on the solidgas interface at which the pristine solid undergoes endothermic degradation to a combination of (1) a porous carbonaceous heatretaining matrix, and (2) a mixture of (partially combustible) vapors that move through the matrix to the outer gas. This rate of advance of the thermaldegradation site is sought as a function of normally available data concerning the thermodynamic and physical properties of the solid and the thermodynamic and dynamic state of the hot vitiated bulk gas that flows over the slab. A nonlinear, unsteady, twospatialdimension treatment in the ShvabZeldovich approximation entails boundary layer simplification in the manner of Prandtl convectivetransport simplification in the manner of Oseen, and thinflame simplification in the manner of Burke and Schumann. Whereas the formulation given here is general and is to be solved in subsequent work for a partially involved slab, the solution here is limited to the steadystate problem
2 editions published between 1981 and 1983 in English and held by 68 WorldCat member libraries worldwide
The spread of fire across the ceiling of a large room (or long corridor) in a structure is modeled as windaided flame spread along a horizontal charforming thick slab, in the presence of significant convective, diffusive, and radiative transport. The goal is to predict the rate of streamwise advance of the site on the solidgas interface at which the pristine solid undergoes endothermic degradation to a combination of (1) a porous carbonaceous heatretaining matrix, and (2) a mixture of (partially combustible) vapors that move through the matrix to the outer gas. This rate of advance of the thermaldegradation site is sought as a function of normally available data concerning the thermodynamic and physical properties of the solid and the thermodynamic and dynamic state of the hot vitiated bulk gas that flows over the slab. A nonlinear, unsteady, twospatialdimension treatment in the ShvabZeldovich approximation entails boundary layer simplification in the manner of Prandtl convectivetransport simplification in the manner of Oseen, and thinflame simplification in the manner of Burke and Schumann. Whereas the formulation given here is general and is to be solved in subsequent work for a partially involved slab, the solution here is limited to the steadystate problem
Analytic studies on satellite detection of severe, twocell tornadoes by
George F Carrier(
Book
)
4 editions published in 1979 in English and held by 65 WorldCat member libraries worldwide
4 editions published in 1979 in English and held by 65 WorldCat member libraries worldwide
Topics in applied mathematics by
George F Carrier(
Book
)
2 editions published in 1966 in English and held by 33 WorldCat member libraries worldwide
2 editions published in 1966 in English and held by 33 WorldCat member libraries worldwide
Foundations, aerodynamics of high speed; facsimiles of nineteen fundamental studies as they were originally reported in the
scientific journals. With a bibliography by
George F Carrier(
Book
)
4 editions published in 1951 in English and held by 18 WorldCat member libraries worldwide
4 editions published in 1951 in English and held by 18 WorldCat member libraries worldwide
Response of narrowmouthed harbors with an entrance channel to periodic incident waves by
George F Carrier(
Book
)
3 editions published in 1970 in English and held by 15 WorldCat member libraries worldwide
3 editions published in 1970 in English and held by 15 WorldCat member libraries worldwide
Proceedings of the sixth U.S. National Congress of Applied Mechanics by
US National Congress of Applied Mechanics(
Book
)
3 editions published in 1970 in English and held by 14 WorldCat member libraries worldwide
3 editions published in 1970 in English and held by 14 WorldCat member libraries worldwide
Functions of a complex variable : theory and practice by
George F Carrier(
Book
)
4 editions published in 2005 in English and held by 13 WorldCat member libraries worldwide
Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic solutions. The book makes available to readers a comprehensive range of these analytical techniques based upon complex variable theory. Advanced topics covered include asymptotics, transforms, the WienerHopf method, and dual and singular integral equations. The authors provide many exercises, incorporating them into the body of the text. Audience: intended for applied mathematicians, scientists, engineers, and senior or graduatelevel students who have advanced knowledge in calculus and are interested in such subjects as complex variable theory, function theory, mathematical methods, advanced engineering mathematics, and mathematical physics
4 editions published in 2005 in English and held by 13 WorldCat member libraries worldwide
Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic solutions. The book makes available to readers a comprehensive range of these analytical techniques based upon complex variable theory. Advanced topics covered include asymptotics, transforms, the WienerHopf method, and dual and singular integral equations. The authors provide many exercises, incorporating them into the body of the text. Audience: intended for applied mathematicians, scientists, engineers, and senior or graduatelevel students who have advanced knowledge in calculus and are interested in such subjects as complex variable theory, function theory, mathematical methods, advanced engineering mathematics, and mathematical physics
Partial differential equations : theory and technique by
George F Carrier(
)
1 edition published in 1976 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1976 in English and held by 4 WorldCat member libraries worldwide
Investigations in the field of aeolotropic elasticity and the bending of the sectorial plate by
George F Carrier(
)
2 editions published in 1944 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1944 in English and held by 3 WorldCat member libraries worldwide
Modeling of aspects of largearea fires by
George F Carrier(
Book
)
3 editions published between 1985 and 1986 in English and held by 3 WorldCat member libraries worldwide
3 editions published between 1985 and 1986 in English and held by 3 WorldCat member libraries worldwide
Tornado and hurricane thermohydrodynamics by
Environmental Research Laboratories (U.S.)(
Book
)
2 editions published in 1971 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1971 in English and held by 2 WorldCat member libraries worldwide
WindAided Firespread Across Arrays of Discrete Fuel Elements by
George F Carrier(
Book
)
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
The rate of windaided firespread (v sub f) across an array of very smalldiameter, discrete fuel elements is sought, as a step toward predicting the advance in time of a firefront though either strewn debris in a heavily blastdamaged scenario or through brushandgrasstype wildlands. Here, the quasisteady rate (if one exists) is sought for conditions under which there is both (1) a wind whose mean speed U is constant and whose direction is constant, and (2) a horizontal bed with a macroscopically uniform fuel distribution. M is the mass of fuel (per unit planform area of the bed) consumed with firefront passage; here the fuel elements are thin, so the fuel consumed is identical with the fuel loading initially present, if fire propagates at all. Laboratoryscale experiments in a specially dedicated firetunnel, with supplementary approximate analysis, are reported. Extensive testing suggests that (v sub f) varies with sq root of U/m over a wide range of the parameters U and m. Only if the thinfuel loading m approaches the rather large value of very roughly 2 g/sq cm is radiative transfer likely to play a role comparable to that of convection/ diffusion for preheating. (MM)
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
The rate of windaided firespread (v sub f) across an array of very smalldiameter, discrete fuel elements is sought, as a step toward predicting the advance in time of a firefront though either strewn debris in a heavily blastdamaged scenario or through brushandgrasstype wildlands. Here, the quasisteady rate (if one exists) is sought for conditions under which there is both (1) a wind whose mean speed U is constant and whose direction is constant, and (2) a horizontal bed with a macroscopically uniform fuel distribution. M is the mass of fuel (per unit planform area of the bed) consumed with firefront passage; here the fuel elements are thin, so the fuel consumed is identical with the fuel loading initially present, if fire propagates at all. Laboratoryscale experiments in a specially dedicated firetunnel, with supplementary approximate analysis, are reported. Extensive testing suggests that (v sub f) varies with sq root of U/m over a wide range of the parameters U and m. Only if the thinfuel loading m approaches the rather large value of very roughly 2 g/sq cm is radiative transfer likely to play a role comparable to that of convection/ diffusion for preheating. (MM)
Aerodynamics of high speed(
Book
)
1 edition published in 1951 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1951 in English and held by 2 WorldCat member libraries worldwide
The winddriven circulation in ocean basins of various shapes by
Walter H Munk(
Book
)
2 editions published in 1950 in English and held by 1 WorldCat member library worldwide
2 editions published in 1950 in English and held by 1 WorldCat member library worldwide
A model of the flameholding mechanism by Abbot A Putnam(
Book
)
2 editions published in 1953 in English and held by 1 WorldCat member library worldwide
2 editions published in 1953 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Pearson, Carl E.
 Krook, Max
 Taub, A. H. 19111999 Editor
 Fendell, Francis E. Author
 Society for Industrial and Applied Mathematics
 Dergarabedian, Paul 1922 Author
 Langley Research Center
 United States National Aeronautics and Space Administration Scientific and Technical Information Office
 Fink, Stanton
 Center for Fire Research (U.S.)
Useful Links
Associated Subjects
Aerodynamics Amorphous semiconductors Astrophysics Bell Telephone Laboratories Buckminsterfullerene Bundy, F. P.(Francis Pettit), Canada CarnegieMellon University Chalmers, Bruce Chemical vapor deposition Compressibility Deri︠a︡gin, Boris Vladimirovich Differential equations Differential equations, PartialNumerical solutions Dynamics Elasticity FireMathematical models Flame spread Flame spreadMathematical models Frequency response (Dynamics) Functions of complex variables Gas flow Gingerich, Owen Goldberg, Leo Grain boundaries HarborsHydrodynamics HarvardSmithsonian Center for Astrophysics Harvard University Holton, Gerald James Hurricanes Hydrogen as fuel Jadeite (Petrology) Laser drilling Lawrence Livermore Laboratory Management Mathematics Mechanics, Applied Meteorological satellites MeteorologyResearch Polywater Roberts, Richard B.(Richard Brooke), Roman, Nancy Grace, Science and industry Semiconductors Tornadoes Turnbull, David, United States Air Force Academy University of Florida Welch, Jack, Whipple, Fred L.(Fred Lawrence),
Alternative Names
Carrier, G.F.
Carrier, G. F. (George Francis)
George Carrier
George F. Carrier Amerikaans wiskundige (19182002)
George F. Carrier amerikansk fysikar og matematikar
George F. Carrier amerikansk fysiker och matematiker
George F. Carrier amerikansk fysiker og matematiker
George F. Carrier USamerikanischer Mathematiker und Physiker
جورج إف كارير
جورج اف کرییر ریاضیدان و فیزیکدان آمریکایی
ジョージ・キャリアー
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