Levine, Harold 1922
Overview
Works:  79 works in 188 publications in 4 languages and 1,478 library holdings 

Genres:  Glossaries, vocabularies, etc Dictionaries 
Roles:  Author, Other 
Publication Timeline
.
Most widely held works by
Harold Levine
Unidirectional wave motions by
H Levine(
Book
)
17 editions published between 1978 and 2014 in English and Undetermined and held by 442 WorldCat member libraries worldwide
Unidirectional Wave Motions provides a comprehensive discussion of the formulations and their consequent elaborations which have found demonstrable value in wave analysis. The deliberate focus on unidirectional waves permits a relatively simple mathematical development, without leaving significant gaps in methodology and capability. The book is organized into three parts. The first part deals with the particulars of individual wave equations; the geometry or kinematics of wave forms; and general matters bearing on the transport of energy and momentum as well as dispersion or frequency sen
17 editions published between 1978 and 2014 in English and Undetermined and held by 442 WorldCat member libraries worldwide
Unidirectional Wave Motions provides a comprehensive discussion of the formulations and their consequent elaborations which have found demonstrable value in wave analysis. The deliberate focus on unidirectional waves permits a relatively simple mathematical development, without leaving significant gaps in methodology and capability. The book is organized into three parts. The first part deals with the particulars of individual wave equations; the geometry or kinematics of wave forms; and general matters bearing on the transport of energy and momentum as well as dispersion or frequency sen
Classifying immersions into IR⁴ over stable maps of 3manifolds into IR² by
Harold Levine(
Book
)
15 editions published between 1985 and 2008 in 3 languages and held by 413 WorldCat member libraries worldwide
15 editions published between 1985 and 2008 in 3 languages and held by 413 WorldCat member libraries worldwide
Partial differential equations by
Harold Levine(
Book
)
13 editions published between 1997 and 1998 in English and Undetermined and held by 271 WorldCat member libraries worldwide
13 editions published between 1997 and 1998 in English and Undetermined and held by 271 WorldCat member libraries worldwide
Singularity theory and gravitational lensing by
Arlie O Petters(
)
9 editions published in 2001 in English and held by 74 WorldCat member libraries worldwide
This monograph, unique in the literature, is the first to develop a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing. Introductory material in Parts I and II present historical highlights and the astrophysical aspects of the subject. Among the lensing topics discussed are multiple quasars, giant luminous arcs, Einstein rings, the detection of dark matter and planets with lensing, time delays and the age of the universe (Hubble's constant), microlensing of stars and quasars. The main part of the bookPart IIIemploys the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation and solve certain key lensing problems. Results are published here for the first time. Mathematical topics discussed: Morse theory, Whitney singularity theory, Thom catastrophe theory, Mather stability theory, Arnold singularity theory, and the Euler characteristic via projectivized rotation numbers. These tools are applied to the study of stable lens systems, local and global geometry of caustics, caustic metamorphoses, multiple lens images, lensed image magnification, magnification cross sections, and lensing by singular and nonsingular deflectors. Examples, illustrations, bibliography and index make this a suitable text for an undergraduate/graduate course, seminar, or independent these project on gravitational lensing. The book is also an excellent reference text for professional mathematicians, mathematical physicists, astrophysicists, and physicists
9 editions published in 2001 in English and held by 74 WorldCat member libraries worldwide
This monograph, unique in the literature, is the first to develop a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing. Introductory material in Parts I and II present historical highlights and the astrophysical aspects of the subject. Among the lensing topics discussed are multiple quasars, giant luminous arcs, Einstein rings, the detection of dark matter and planets with lensing, time delays and the age of the universe (Hubble's constant), microlensing of stars and quasars. The main part of the bookPart IIIemploys the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation and solve certain key lensing problems. Results are published here for the first time. Mathematical topics discussed: Morse theory, Whitney singularity theory, Thom catastrophe theory, Mather stability theory, Arnold singularity theory, and the Euler characteristic via projectivized rotation numbers. These tools are applied to the study of stable lens systems, local and global geometry of caustics, caustic metamorphoses, multiple lens images, lensed image magnification, magnification cross sections, and lensing by singular and nonsingular deflectors. Examples, illustrations, bibliography and index make this a suitable text for an undergraduate/graduate course, seminar, or independent these project on gravitational lensing. The book is also an excellent reference text for professional mathematicians, mathematical physicists, astrophysicists, and physicists
Classifying immersions into R4 over stable maps of 3manifolds into R2 by
Harold Levine(
)
9 editions published between 1985 and 2006 in English and held by 71 WorldCat member libraries worldwide
9 editions published between 1985 and 2006 in English and held by 71 WorldCat member libraries worldwide
Numerical nonlinear inelastic analysis of stiffened shells of revolution by
V Svalbonas(
Book
)
2 editions published in 1975 in English and held by 34 WorldCat member libraries worldwide
2 editions published in 1975 in English and held by 34 WorldCat member libraries worldwide
Koreaone vocabulary 22000 by
Harold Levine(
Book
)
9 editions published between 1982 and 1989 in 3 languages and held by 26 WorldCat member libraries worldwide
9 editions published between 1982 and 1989 in 3 languages and held by 26 WorldCat member libraries worldwide
Classifying immersions into IRp4s over stable maps of 3manifolds into IRp2s by
Harold Levine(
Book
)
3 editions published in 1985 in English and held by 21 WorldCat member libraries worldwide
3 editions published in 1985 in English and held by 21 WorldCat member libraries worldwide
Wave propagation on a composite and inhomogeneous string by
Harold Levine(
)
3 editions published in 1963 in English and held by 18 WorldCat member libraries worldwide
A particular instance of onedimensional wave propagation is discussed which may be con veniently described in terms of the small ampli tude transverse motions of a stretched string. It is assumed that the string, of infinite over all length and initially rectilinear shape, has a composite nature as regards its material aspect or density. (Author)
3 editions published in 1963 in English and held by 18 WorldCat member libraries worldwide
A particular instance of onedimensional wave propagation is discussed which may be con veniently described in terms of the small ampli tude transverse motions of a stretched string. It is assumed that the string, of infinite over all length and initially rectilinear shape, has a composite nature as regards its material aspect or density. (Author)
On source radiation by
Harold Levine(
Book
)
2 editions published in 1980 in Undetermined and English and held by 5 WorldCat member libraries worldwide
2 editions published in 1980 in Undetermined and English and held by 5 WorldCat member libraries worldwide
DE L'AFFINITE DE DIFFERENTS ACIDES DESOXYRIBONUCLEIQUES POUR LES MEMBRANES D'ESCHERICHIA COLI by
Huguette Levine(
Book
)
3 editions published in 1974 in French and held by 4 WorldCat member libraries worldwide
L'ATTACHEMENT DE DIVERS ADN (PARTICULIEREMENT CEUX DES PHAGES LAMBDA ET T4) AUX STRUCTURES MEMBRANAIRES EST ETUDIE: LES FACTEURS D'ATTACHEMENT DEPENDANT DES MEMBRANES, CEUX DEPENDANT DE L'ADN ET LA STABILITE DES COMPLEXES SONT OBSERVES. L'IMPORTANCE DE CERTAINS CONSTITUANTS DES SYSTEMES MEMBRANAIRES EST EXAMINEE EN COMPARANT LE TAUX D'ATTACHEMENT DE L'ADN A PLUSIEURS TYPES DE FRACTIONS MEMBRANAIRES. LA SENSIBILITE DU COMPLEXE ADNMEMBRANE A LA DESOXYRIBONUCLEASE EST TESTEE ET DES EXPERIENCES DE COMPETITION PERMETTENT D'EXAMINER LA SPECIFICITE DE L'ATTACHEMENT. ENFIN LE ROLE FONCTIONNEL DU COMPLEXE ADNMEMBRANE EST MIS EN EVIDENCE (SYNTHESE DARNM, D'ADN, D'ENDOLYSINE). UNE TENTATIVE D'ANALYSE DU COMPLEXE EST PRESENTEE AFIN DE PRECISER LA NATURE DES MECANISMES DE FIXATION DE L'ADN AUX MEMBRANES. MICROSCOPIE ELECTRONIQUE
3 editions published in 1974 in French and held by 4 WorldCat member libraries worldwide
L'ATTACHEMENT DE DIVERS ADN (PARTICULIEREMENT CEUX DES PHAGES LAMBDA ET T4) AUX STRUCTURES MEMBRANAIRES EST ETUDIE: LES FACTEURS D'ATTACHEMENT DEPENDANT DES MEMBRANES, CEUX DEPENDANT DE L'ADN ET LA STABILITE DES COMPLEXES SONT OBSERVES. L'IMPORTANCE DE CERTAINS CONSTITUANTS DES SYSTEMES MEMBRANAIRES EST EXAMINEE EN COMPARANT LE TAUX D'ATTACHEMENT DE L'ADN A PLUSIEURS TYPES DE FRACTIONS MEMBRANAIRES. LA SENSIBILITE DU COMPLEXE ADNMEMBRANE A LA DESOXYRIBONUCLEASE EST TESTEE ET DES EXPERIENCES DE COMPETITION PERMETTENT D'EXAMINER LA SPECIFICITE DE L'ATTACHEMENT. ENFIN LE ROLE FONCTIONNEL DU COMPLEXE ADNMEMBRANE EST MIS EN EVIDENCE (SYNTHESE DARNM, D'ADN, D'ENDOLYSINE). UNE TENTATIVE D'ANALYSE DU COMPLEXE EST PRESENTEE AFIN DE PRECISER LA NATURE DES MECANISMES DE FIXATION DE L'ADN AUX MEMBRANES. MICROSCOPIE ELECTRONIQUE
On the power output of some idealized source configurations with one or more characteristic dimensions by
Harold Levine(
Book
)
2 editions published in 1982 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1982 in English and held by 3 WorldCat member libraries worldwide
Diffraction by an aperture at high frequencies by
Stanford University(
Book
)
3 editions published in 1957 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1957 in English and held by 3 WorldCat member libraries worldwide
A note on sound radiation into a uniformly flowing fluid by
Harold Levine(
Book
)
2 editions published in 1980 in Undetermined and English and held by 3 WorldCat member libraries worldwide
2 editions published in 1980 in Undetermined and English and held by 3 WorldCat member libraries worldwide
A note on sound radiation from distributed sources by
Harold Levine(
Book
)
2 editions published in 1979 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1979 in English and held by 3 WorldCat member libraries worldwide
The scattering cross section of a row of circular cylinders by
Stanford University(
Book
)
3 editions published in 1958 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1958 in English and held by 3 WorldCat member libraries worldwide
Numerical nonlinear inelastic analysis of stiffened shells of revolution by
V Svalbonas(
Book
)
3 editions published in 1975 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1975 in English and held by 3 WorldCat member libraries worldwide
Reflection and transmission of plane waves by layered periodic media by
Stanford University(
Book
)
2 editions published in 1968 in English and held by 3 WorldCat member libraries worldwide
The reflection and transmission coefficients (at normal incidence) for plane parallel slabs consisting of N inhomogeneous and exactly duplicated parallel layers are expressed in terms of the corresponding coefficients for a single layer. The analysis is effected by two different methods, one of which stems from the socalled invariant imbedding viewpoint while the other relies on a more conventional matrix argument. (Author)
2 editions published in 1968 in English and held by 3 WorldCat member libraries worldwide
The reflection and transmission coefficients (at normal incidence) for plane parallel slabs consisting of N inhomogeneous and exactly duplicated parallel layers are expressed in terms of the corresponding coefficients for a single layer. The analysis is effected by two different methods, one of which stems from the socalled invariant imbedding viewpoint while the other relies on a more conventional matrix argument. (Author)
The mathematical theory of structures in rectangular wave guides by
Harold Levine(
)
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
On certain integrals which pertain to the forced vibration of plates by
Harold Levine(
Book
)
2 editions published in 1979 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1979 in English and held by 3 WorldCat member libraries worldwide
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Related Identities
 Petters, Arlie O. Author
 Wambsganss, Joachim Other
 Svalbonas, V. Author
 Grumman Aerospace Corporation
 Ogilvie, P.
 United States Office of Naval Research
 Stanford University Department of Mathematics
 김영로
 STANFORD UNIV CALIF Dept. of MATHEMATICS
 Stanford University Applied Mathematics and Statistics Laboratory
Useful Links
Associated Subjects
Aeronautics Boundary layer noise Cell aggregationMathematics Differentiable mappings Differential equations Differential equations, Partial Electromagnetic wavesTransmission English language Global differential geometry Immersions (Mathematics) Korean language Mathematical physics Mathematics Physics Plates (Engineering)Vibration Shells (Engineering)Computer programs Singularities (Mathematics) Vibration (Aeronautics) Wave guides Wavemotion, Theory of
Covers
Alternative Names
Harold Levine Amerikaans wiskundige
Harold Levine matemático estadounidense
Harold Levine matematico statunitense
Harold Levine mathématicien américain
Levine, H.
Levine, H. 1922
Levine, H. (Harold), 1922
Levine, Harold
هارولد لوین
ハロルド・レヴィーン
哈若德·勒威尼
Languages