Cohen, Paul J. 19342007
Overview
Works:  17 works in 80 publications in 5 languages and 1,055 library holdings 

Genres:  History 
Roles:  Author 
Classifications:  QA9, 510 
Publication Timeline
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Most widely held works about
Paul J Cohen
 The story of maths by Marcus Du Sautoy( Visual )
 To infinity and beyond : mathematics in modern times( Visual )
 Cohen, Paul Joseph : Mathematics( )
 The Hamel basis theorem and the countable axiom of choice; an exercise in the method of Paul Cohen by David Shafer( )
Most widely held works by
Paul J Cohen
Set theory and the continuum hypothesis by
Paul J Cohen(
Book
)
54 editions published between 1966 and 2012 in 4 languages and held by 918 WorldCat member libraries worldwide
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an awardwinning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a selfcontained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994
54 editions published between 1966 and 2012 in 4 languages and held by 918 WorldCat member libraries worldwide
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an awardwinning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a selfcontained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994
The independence of the axiom of choice by
Paul J Cohen(
Book
)
5 editions published between 1959 and 1964 in English and held by 7 WorldCat member libraries worldwide
5 editions published between 1959 and 1964 in English and held by 7 WorldCat member libraries worldwide
The nonuniqueness of the Cauchy problem by
Paul J Cohen(
Book
)
3 editions published in 1960 in English and held by 7 WorldCat member libraries worldwide
A SYSTEMATIC TREATMENT OF THE PHENOMENON OF NONUNIQUENESS OF THE CAUCHY PROBLEM IS GIVEN. A +ROOF IS GIVEN THAT NONUNIQUENESS MUST ALWAYS HOLD WHEN CERTAIN CONDITIONS ARE VIOLATED. FOR ELLIPTIC EQUATIONS, THE DEGREE OF CONTINUITY((WHICH CAN BE OBTAINED IS DESCRIBED EXACTLY. ALSO PRESENTED IS A NEW TYPE OF NONUNIQUENES WHICH DOES NOT DEPEND UPONMULTIPLICITY OF THE CHARACTERISTICS, BUT UPON THE FACT THAT THE COEFFICIENTS OF THE PRINCIPAL PART ARE NOT REAL
3 editions published in 1960 in English and held by 7 WorldCat member libraries worldwide
A SYSTEMATIC TREATMENT OF THE PHENOMENON OF NONUNIQUENESS OF THE CAUCHY PROBLEM IS GIVEN. A +ROOF IS GIVEN THAT NONUNIQUENESS MUST ALWAYS HOLD WHEN CERTAIN CONDITIONS ARE VIOLATED. FOR ELLIPTIC EQUATIONS, THE DEGREE OF CONTINUITY((WHICH CAN BE OBTAINED IS DESCRIBED EXACTLY. ALSO PRESENTED IS A NEW TYPE OF NONUNIQUENES WHICH DOES NOT DEPEND UPONMULTIPLICITY OF THE CHARACTERISTICS, BUT UPON THE FACT THAT THE COEFFICIENTS OF THE PRINCIPAL PART ARE NOT REAL
Chi no teikoku shugi : Orientarizumu to Chūgoku zō by
Paul J Cohen(
Book
)
2 editions published in 1988 in Japanese and held by 6 WorldCat member libraries worldwide
2 editions published in 1988 in Japanese and held by 6 WorldCat member libraries worldwide
Set theory and continuum hypothesis by
Paul J Cohen(
Book
)
1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
Beyond the California school accountability report card : servicequality dimensions as indicators of school quality by
Paul J Cohen(
)
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
Set theory and the continuum hypotheses : with a new introduction by Martin Davis(
Book
)
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
Predicting recidivism and crime severity in a male juvenile delinquent population using the MMPIA by
Paul J Cohen(
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
The purpose of this study was to investigate the predictive capabilities of the Minnesota Multiphasic Personality Instrument Adolescent version (Butcher, Williams, Graham, Archer, Tellegen, BenPorath, and Kaemmer, 1992) in determining whether adolescents will go on to commit serious crimes once they have already been introduced to the juvenile justice setting. In addition, the particular individual characteristics of the serious versus nonoffender/minor offender personality were under investigation. After stringent screening procedures, 99 of the original 181 male delinquents waiting disposition in juvenile court remained to participate in the study. Each participant was ordered to undergo a psychological evaluation to determine appropriate treatment and/or further placement. As a part of these evaluations, each participant took the MMPIA. Juvenile offense histories and number and types of offenses were gathered before administration of the MMPIA and number of days in detention and offense information was tracked for eighteen months posttest administration date via the Juvenile Tracking System. Overall, the MMPIA proved to be most successful in predicting adolescents who do not go on to seriously reoffend and it showed limited success in predicting adolescents who seriously reoffend after a period of eighteen months. One subscale on the entire MMPIA proved to be clinically significantly different between the two groups (Sc6). However, clinically relevant differences were found in sixteen other scales and subscales. Descriptions of the differences in the two groups are discussed, in addition to implications of these findings, and future research suggestions
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
The purpose of this study was to investigate the predictive capabilities of the Minnesota Multiphasic Personality Instrument Adolescent version (Butcher, Williams, Graham, Archer, Tellegen, BenPorath, and Kaemmer, 1992) in determining whether adolescents will go on to commit serious crimes once they have already been introduced to the juvenile justice setting. In addition, the particular individual characteristics of the serious versus nonoffender/minor offender personality were under investigation. After stringent screening procedures, 99 of the original 181 male delinquents waiting disposition in juvenile court remained to participate in the study. Each participant was ordered to undergo a psychological evaluation to determine appropriate treatment and/or further placement. As a part of these evaluations, each participant took the MMPIA. Juvenile offense histories and number and types of offenses were gathered before administration of the MMPIA and number of days in detention and offense information was tracked for eighteen months posttest administration date via the Juvenile Tracking System. Overall, the MMPIA proved to be most successful in predicting adolescents who do not go on to seriously reoffend and it showed limited success in predicting adolescents who seriously reoffend after a period of eighteen months. One subscale on the entire MMPIA proved to be clinically significantly different between the two groups (Sc6). However, clinically relevant differences were found in sixteen other scales and subscales. Descriptions of the differences in the two groups are discussed, in addition to implications of these findings, and future research suggestions
Quantum Field Theory, Differential Operators and Scattering Theory(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
The research of this contract has covered several areas, including differential equations, harmonic analysis, functional analysis, logic, and quantum field theory. Some work has been done on the theoretical foundations of field theory while other work has been done on the classical problems in scattering theory arising from the physical situations. In harmonic analysis, questions about function spaces of analytic functions in more than one variable and classical problems in potential theory have been investigated. Tauberian theorems in their relation to number theory, and the general scope of the analytic methods of harmonic analysis in the theory of distribution of prime numbers have been considered. In Logic problems in the existence of models with automorphisms as well as general decision problems were investigated. Some recent results concern the application of automata in deciding various second order theories. Also work was done which offers hope of giving constructive estimates for problems in Diophantine Equations for which only nonconstructive methods now exist. (Author)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
The research of this contract has covered several areas, including differential equations, harmonic analysis, functional analysis, logic, and quantum field theory. Some work has been done on the theoretical foundations of field theory while other work has been done on the classical problems in scattering theory arising from the physical situations. In harmonic analysis, questions about function spaces of analytic functions in more than one variable and classical problems in potential theory have been investigated. Tauberian theorems in their relation to number theory, and the general scope of the analytic methods of harmonic analysis in the theory of distribution of prime numbers have been considered. In Logic problems in the existence of models with automorphisms as well as general decision problems were investigated. Some recent results concern the application of automata in deciding various second order theories. Also work was done which offers hope of giving constructive estimates for problems in Diophantine Equations for which only nonconstructive methods now exist. (Author)
Topics in theory of uniqueness of trigonometrical series by
Paul J Cohen(
)
2 editions published in 1958 in English and held by 1 WorldCat member library worldwide
2 editions published in 1958 in English and held by 1 WorldCat member library worldwide
Inventaire des compétences de recherche du milieu universitaire québécois, en matière de communications par satellites
: rapport final(
Book
)
1 edition published in 1988 in French and held by 1 WorldCat member library worldwide
1 edition published in 1988 in French and held by 1 WorldCat member library worldwide
The independence of the axiom of choice by
Paul J Cohen(
)
1 edition published in 1959 in English and held by 1 WorldCat member library worldwide
1 edition published in 1959 in English and held by 1 WorldCat member library worldwide
Decision procedures for real and padic fields by
Paul J Cohen(
Book
)
2 editions published in 1967 in English and held by 1 WorldCat member library worldwide
A decision procedure is given for the real number field which reproves a result of Tarski, and for padic fields a procedure is given to reduce problems about the field to statements concerning the residue class rings. This gives a purely effective proof of the recent results of Ax and Kochen. The methods used point up the similarity of the two cases. Thus whereas Sturm's theorem can be used in the real case, our proof yields an inductive procedure for finding roots in the padic case. Finally, the application to Artin's conjecture is discussed and it is shown that the exceptional primes are primitive recursive functions of the degree. (Author)
2 editions published in 1967 in English and held by 1 WorldCat member library worldwide
A decision procedure is given for the real number field which reproves a result of Tarski, and for padic fields a procedure is given to reduce problems about the field to statements concerning the residue class rings. This gives a purely effective proof of the recent results of Ax and Kochen. The methods used point up the similarity of the two cases. Thus whereas Sturm's theorem can be used in the real case, our proof yields an inductive procedure for finding roots in the padic case. Finally, the application to Artin's conjecture is discussed and it is shown that the exceptional primes are primitive recursive functions of the degree. (Author)
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Archimedes Bernoulli family Bolyai, János, Bourbaki, Nicolas Canada Cantor, Georg, Cauchy problem China Cohen, Paul J., Continuum hypothesis Differential equations, Partial Euclid Euler, Leonhard, Europe Fourier series Galois, Évariste, Gauss, Carl Friedrich, Gödel, Kurt Grothendieck, A.(Alexandre) Hilbert, David, Hilbert's tenth problem Hindu mathematics Historiography Incompleteness theorems India Influence (Literary, artistic, etc.) Leibniz, Gottfried Wilhelm,Freiherr von, Logic, Symbolic and mathematical Mathematicians Mathematics Mathematics, Arab Mathematics, Babylonian Mathematics, Chinese Mathematics, Egyptian Mathematics, Greek MathematicsPhilosophy Newton, Isaac, Poincaré, Henri, Pythagoras Riemann, Bernhard, Riemann hypothesis Robinson, Julia, School choice SchoolsEvaluation Scientists Set theory Study skills United States Weil, André, Zero (The number)
Alternative Names
Cohen P. J. 19342007
Cohen, Paul Joseph
Cohen, Paul Joseph 19342007
Koèn, Pol Dž.
Paul Cohen amerikansk matematiker
Paul Cohen matematico statunitense
Paul Cohen matematyk amerykański
Paul Cohen mathématicien américain
Paul Cohen USamerikanischer Mathematiker
Paul Cohen wiskundige
Paul J. Cohen amerikansk matematikar
Paul Joseph Cohen matemàtic
Pols Koens
Коэн П. Д. 19342007
Коэн, Пол Дж..
Коэн, Пол Джозеф
Пол Джозеф Коен
פול כהן
بول كوهين
پال جوزف کوہن
پل کوهن (ریاضیدان) ریاضیدان آمریکایی
পল জোসেফ কোহেন
폴 코언 미국의 수학자
コーエン, P. A.
コーエン, ポール・A
コーヘン
ポール・コーエン
ポール・コーエン 数学者
保罗·寇恩
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