Hartman, Philip 1915
Overview
Works:  22 works in 101 publications in 3 languages and 1,133 library holdings 

Roles:  Author 
Classifications:  QA372, 517.38 
Publication Timeline
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Most widely held works about
Philip Hartman
 Hartman, Philip by Michigan( )
 Philip Hartman( )
 Aurel Wintner papers by Aurel Wintner( )
Most widely held works by
Philip Hartman
Ordinary differential equations by
Philip Hartman(
Book
)
73 editions published between 1964 and 2002 in 3 languages and held by 1,059 WorldCat member libraries worldwide
Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily. In addition to these results, the text illustrates techniques involving simple topological arguments, fixed point theorems, and basic facts of functional analysis. Unlike many texts, which supply only the standard simplified theorems, this book presents the basic theory of ODEs in a general way. This SIAM reissue of the 1982 second edition covers invariant manifolds, perturbations, and dichotomies, making the text relevant to current studies of geometrical theory of differential equations and dynamical systems. In particular, Ordinary Differential Equations includes the proof of the HartmanGrobman theorem on the equivalence of a nonlinear to a linear flow in the neighborhood of a hyperbolic stationary point, as well as theorems on smooth equivalences, the smoothness of invariant manifolds, and the reduction of problems on ODEs to those on "maps" (Poincaré). Audience: readers should have knowledge of matrix theory and the ability to deal with functions of real variables
73 editions published between 1964 and 2002 in 3 languages and held by 1,059 WorldCat member libraries worldwide
Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily. In addition to these results, the text illustrates techniques involving simple topological arguments, fixed point theorems, and basic facts of functional analysis. Unlike many texts, which supply only the standard simplified theorems, this book presents the basic theory of ODEs in a general way. This SIAM reissue of the 1982 second edition covers invariant manifolds, perturbations, and dichotomies, making the text relevant to current studies of geometrical theory of differential equations and dynamical systems. In particular, Ordinary Differential Equations includes the proof of the HartmanGrobman theorem on the equivalence of a nonlinear to a linear flow in the neighborhood of a hyperbolic stationary point, as well as theorems on smooth equivalences, the smoothness of invariant manifolds, and the reduction of problems on ODEs to those on "maps" (Poincaré). Audience: readers should have knowledge of matrix theory and the ability to deal with functions of real variables
Ordinary differential equations by
E. L Ince(
Book
)
5 editions published in 1970 in Russian and held by 9 WorldCat member libraries worldwide
XIX. Systems of Linear Equations of the First OrderXX. Classification of Linear Differential Equations of the Second Order with Rational Coefficients; XXI. Oscillation Theorems in the Complex Domain; Appendices; A. Historical Note on Formal Methods of Integration; B. Numerical Integration of Ordinary Differential Equations; C. List of Journals Quoted in Footnotes to the Text; D. Bibliography; Index of Authors; General Index
5 editions published in 1970 in Russian and held by 9 WorldCat member libraries worldwide
XIX. Systems of Linear Equations of the First OrderXX. Classification of Linear Differential Equations of the Second Order with Rational Coefficients; XXI. Oscillation Theorems in the Complex Domain; Appendices; A. Historical Note on Formal Methods of Integration; B. Numerical Integration of Ordinary Differential Equations; C. List of Journals Quoted in Footnotes to the Text; D. Bibliography; Index of Authors; General Index
On solutions of [Delta] V + V = 0 in an exterior region by
Philip Hartman(
Book
)
1 edition published in 1952 in English and held by 1 WorldCat member library worldwide
1 edition published in 1952 in English and held by 1 WorldCat member library worldwide
On solutions of the Helmholtz equations in exterior domains by
Philip Hartman(
Book
)
1 edition published in 1960 in English and held by 1 WorldCat member library worldwide
1 edition published in 1960 in English and held by 1 WorldCat member library worldwide
On Hölder continuity and nonlinear elliptic partial differential equations by
Philip Hartman(
Book
)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
Obyknovennye differencial'nye upravnenija by
Philip Hartman(
Book
)
1 edition published in 1970 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1970 in Undetermined and held by 1 WorldCat member library worldwide
Mean motions and almost periodic motions by
Philip Hartman(
Book
)
3 editions published between 1938 and 1939 in English and held by 1 WorldCat member library worldwide
3 editions published between 1938 and 1939 in English and held by 1 WorldCat member library worldwide
On Maximum principles for nonhyperbolic partial differential operators by
Philip Hartman(
Book
)
1 edition published in 1957 in English and held by 1 WorldCat member library worldwide
1 edition published in 1957 in English and held by 1 WorldCat member library worldwide
The microstructure of the Euro money market by
Philipp Hartmann(
Book
)
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
Verschiedene kleinere Veröffentlichungen aus dem Gebiete der Mathematik(
Book
)
in German and held by 1 WorldCat member library worldwide
in German and held by 1 WorldCat member library worldwide
Synergistic inactivation of Escherichia coli and phage T7 by nearultraviolet radiation and hydrogen peroxide by
Philip Hartman(
)
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
[Photographs of silverwork] by
Philip Hartman(
Visual
)
in English and held by 1 WorldCat member library worldwide
Folder contains photographs and information sheets related to a sword hilt. Photographs of touchmarks are also present
in English and held by 1 WorldCat member library worldwide
Folder contains photographs and information sheets related to a sword hilt. Photographs of touchmarks are also present
On a theorem of Frobenius by
Philip Hartman(
Book
)
1 edition published in 1957 in English and held by 1 WorldCat member library worldwide
1 edition published in 1957 in English and held by 1 WorldCat member library worldwide
Mean motions and almost periodic functions by
Philip Hartman(
Book
)
1 edition published in 1938 in English and held by 1 WorldCat member library worldwide
1 edition published in 1938 in English and held by 1 WorldCat member library worldwide
'Normal' Distribution Functions on Spheres and the Modified Bessel Function (I Sub nu) (X)(
Book
)
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
Three Notes by
Philip Hartman(
Book
)
1 edition published in 1941 in English and held by 1 WorldCat member library worldwide
1 edition published in 1941 in English and held by 1 WorldCat member library worldwide
Mathematical Techniques for the Analysis of the Dynamic Response of Flexible Vehicles(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
Contract personnel did research on ordinary differential equations (mainly, on interpolation problems for nth order (linear or nonlinear) equations, on existence theory and asymptotic behavior for solutions of singular boundary value problems arising in fluid mechanics, and 'dichotomies' for differentialfunctional equations), and on differential geometry (e.g., properties of isometric immersions in Euclidean space of Riemann manifolds with nonnegative sectional curvature). A list of publications and description of some of the most significant results is given in the attached report. (Author)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
Contract personnel did research on ordinary differential equations (mainly, on interpolation problems for nth order (linear or nonlinear) equations, on existence theory and asymptotic behavior for solutions of singular boundary value problems arising in fluid mechanics, and 'dichotomies' for differentialfunctional equations), and on differential geometry (e.g., properties of isometric immersions in Euclidean space of Riemann manifolds with nonnegative sectional curvature). A list of publications and description of some of the most significant results is given in the attached report. (Author)
On Exterior derivatives and solutions of ordinary differential equations by
Philip Hartman(
Book
)
1 edition published in 1957 in English and held by 1 WorldCat member library worldwide
1 edition published in 1957 in English and held by 1 WorldCat member library worldwide
Ordinary differential equations by
Philip Hartman(
)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Society for Industrial and Applied Mathematics
 Johns Hopkins University Mathematics Department
 Watson, Geoffrey S.
 University of WisconsinMadison Mathematics Research Center
 ALEKSEEVA, V. M. Redactor
 Birkhoff, George David 18841944
 Manzanares, Andres
 SABITOVA, I. H.
 United States Air Force Office of Scientific Research
 Алексеев, Владимир Михайлович
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Associated Subjects
Birkhoff, George David, Chern, ShiingShen, College teachers Convex functions Dedekind, Richard, Differential equations Differential equations, Elliptic Differential equations, Nonlinear Differential equations, Partial Differential equationsStudy and teaching Einstein, Albert, Euro Europe Exterior differential systems Frobenius algebras Group theory Harmonic analysis Hartman, Philip, Hatcher, Anna Granville, Helmholtz equation LeviCivita, Tullio, Mathematical analysisStudy and teaching Mathematicians Mathematics Money market Painter, Sidney, Partial differential operators PennsylvaniaPhiladelphia Sansone, Giovanni, Silverwork United States Weil, André, Weyl, Hermann, Wiener, Norbert, Wintner, Aurel,
Alternative Names
Chartman, F.
Hartman, F.
Philip Hartman Amerikaans wiskundige
Philip Hartman amerikansk matematikar
Philip Hartman amerikansk matematiker
Philip Hartman mathématicien américain
Philip Hartman USamerikanischer Mathematiker
Филип Хартман
Хартман, Ф..
فیلیپ هارتمن ریاضیدان آمریکایی
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