Buck, R. Creighton (Robert Creighton) 1920
Overview
Works:  41 works in 209 publications in 5 languages and 4,490 library holdings 

Genres:  Programmed instructional materials Textbooks 
Roles:  Author, Editor, Other 
Classifications:  QA303, 517 
Publication Timeline
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Most widely held works by
R. Creighton Buck
Advanced calculus by
R. Creighton Buck(
Book
)
79 editions published between 1956 and 2003 in 4 languages and held by 1,935 WorldCat member libraries worldwide
Seths and functions; Continuity; Defferentiation; Integration; Series; Uniform convergence; Diferentiation of transformations; Aplications to geometry and analysis; Differential geometry and vector calculus; Numerical methods
79 editions published between 1956 and 2003 in 4 languages and held by 1,935 WorldCat member libraries worldwide
Seths and functions; Continuity; Defferentiation; Integration; Series; Uniform convergence; Diferentiation of transformations; Aplications to geometry and analysis; Differential geometry and vector calculus; Numerical methods
Studies in modern analysis by
R. Creighton Buck(
Book
)
29 editions published between 1912 and 1962 in 4 languages and held by 1,059 WorldCat member libraries worldwide
29 editions published between 1912 and 1962 in 4 languages and held by 1,059 WorldCat member libraries worldwide
Polynomial expansions of analytic functions by
Ralph P Boas(
Book
)
39 editions published between 1958 and 1964 in 3 languages and held by 766 WorldCat member libraries worldwide
This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations. It thus represents a synthesis of two branches of analysis which have been developing almost independently. On the one hand there has grown up a body of results dealing with the more or less formal prop erties of sets of polynomials which possess simple generating relations. Much of this material is summarized in the Bateman compendia (ERDELYI [1J, vol. III, chap. 19) and in TRUESDELL [1J. On the other hand, a problem of fundamental interest in classical analysis is to study the representability of an analytic function j(z) as a series 2::CnPn(z), where {Pn} is a prescribed sequence of functions, and the connections between the function j and the coefficients en. BIEBERBACH'S mono graph Analytisehe Fortsetzung (Ergebnisse der Mathematik, new series, no. 3) can be regarded as a study of this problem for the special choice Pn (z) = zn, and illustrates the depth and detail which such a specializa tion allows. However, the wealth of available information about other sets of polynomials has seldom been put to work in this connection (the application of generating relations to expansion of functions is not even mentioned in the Bateman compendia). At the other extreme, J.M
39 editions published between 1958 and 1964 in 3 languages and held by 766 WorldCat member libraries worldwide
This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations. It thus represents a synthesis of two branches of analysis which have been developing almost independently. On the one hand there has grown up a body of results dealing with the more or less formal prop erties of sets of polynomials which possess simple generating relations. Much of this material is summarized in the Bateman compendia (ERDELYI [1J, vol. III, chap. 19) and in TRUESDELL [1J. On the other hand, a problem of fundamental interest in classical analysis is to study the representability of an analytic function j(z) as a series 2::CnPn(z), where {Pn} is a prescribed sequence of functions, and the connections between the function j and the coefficients en. BIEBERBACH'S mono graph Analytisehe Fortsetzung (Ergebnisse der Mathematik, new series, no. 3) can be regarded as a study of this problem for the special choice Pn (z) = zn, and illustrates the depth and detail which such a specializa tion allows. However, the wealth of available information about other sets of polynomials has seldom been put to work in this connection (the application of generating relations to expansion of functions is not even mentioned in the Bateman compendia). At the other extreme, J.M
Calculus of several variables by
R. Creighton Buck(
Book
)
7 editions published in 1971 in English and French and held by 275 WorldCat member libraries worldwide
7 editions published in 1971 in English and French and held by 275 WorldCat member libraries worldwide
Introduction to differential equations by
R. Creighton Buck(
Book
)
6 editions published in 1976 in English and held by 262 WorldCat member libraries worldwide
6 editions published in 1976 in English and held by 262 WorldCat member libraries worldwide
Solutions manual [for] Calculus of several variables by
R. Creighton Buck(
Book
)
1 edition published in 1971 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 1971 in English and held by 16 WorldCat member libraries worldwide
Solutions manual [for] introduction to differential equations by
R. Creighton Buck(
Book
)
2 editions published in 1976 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 1976 in English and held by 13 WorldCat member libraries worldwide
Programed first course in algebra : revised form H, student's response booklet by
School Mathematics Study Group(
Book
)
1 edition published in 1965 in English and held by 13 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 13 WorldCat member libraries worldwide
Programed first course in algebra : revised form H, student's text by
School Mathematics Study Group(
Book
)
in English and held by 12 WorldCat member libraries worldwide
in English and held by 12 WorldCat member libraries worldwide
Programmed first course in algebra : preliminary form H by
School Mathematics Study Group(
Book
)
1 edition published in 1963 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1963 in English and held by 6 WorldCat member libraries worldwide
Programed first course in algebra. Form CR by
School Mathematics Study Group(
Book
)
2 editions published in 1962 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1962 in English and held by 6 WorldCat member libraries worldwide
Programmed first course in algebra, revised form H. Student's text by
School Mathematics Study Group(
Book
)
1 edition published in 1965 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 6 WorldCat member libraries worldwide
Dispersion mapping theorems by
R. Creighton Buck(
Book
)
3 editions published in 1979 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1979 in English and held by 4 WorldCat member libraries worldwide
Approximation properties of vector valued functions by
R. Creighton Buck(
Book
)
4 editions published in 1973 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1973 in English and held by 4 WorldCat member libraries worldwide
Extreme Functionals on Spaces of Vector Valued Functions by
R. Creighton Buck(
Book
)
4 editions published between 1972 and 1973 in English and held by 4 WorldCat member libraries worldwide
The space C(X : E) of E valued bound continuous functions on a compact space X is represented as a subspace of C(X x B sub E) and the extreme linear functionals phi of norm 1 on C(X : E) arise as the product of the points of X and extreme points of B sub E, the dual ball of E. This is generalized, using the BuckPhelps Theorem to identify extreme functionals phi in the set of those that annihilate certain submodules of C(X : E). (Author)
4 editions published between 1972 and 1973 in English and held by 4 WorldCat member libraries worldwide
The space C(X : E) of E valued bound continuous functions on a compact space X is represented as a subspace of C(X x B sub E) and the extreme linear functionals phi of norm 1 on C(X : E) arise as the product of the points of X and extreme points of B sub E, the dual ball of E. This is generalized, using the BuckPhelps Theorem to identify extreme functionals phi in the set of those that annihilate certain submodules of C(X : E). (Author)
Polynomial expansions of analytic functions, by R.P. Boas and R.C. Buck. by Ralph P Boas(
Book
)
in English and held by 2 WorldCat member libraries worldwide
in English and held by 2 WorldCat member libraries worldwide
Mathematics Research Center white paper by
R. Creighton Buck(
Book
)
1 edition published in 1974 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1974 in English and held by 2 WorldCat member libraries worldwide
Approximate complexity and functional representation by
R. Creighton Buck(
Book
)
2 editions published in 1976 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1976 in English and held by 2 WorldCat member libraries worldwide
Programed First Course in Algebra, Revised Form H, Student's ResponseBooklet, Unit 62 by
R. Creighton Buck(
Book
)
1 edition published in 1965 in English and held by 2 WorldCat member libraries worldwide
This is a response booklet for students using smsg high school programed text materials. The response sheets are arranged by section and the spaces provided for answers are blocked to correspond to blocks of questions in the text. (Mp)
1 edition published in 1965 in English and held by 2 WorldCat member libraries worldwide
This is a response booklet for students using smsg high school programed text materials. The response sheets are arranged by section and the spaces provided for answers are blocked to correspond to blocks of questions in the text. (Mp)
The Mathematics Research Center at the University of WisconsinMadison by
R. Creighton Buck(
Book
)
2 editions published in 1974 in English and held by 1 WorldCat member library worldwide
2 editions published in 1974 in English and held by 1 WorldCat member library worldwide
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fewer
Audience Level
0 

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Related Identities
 Buck, Ellen F. Other
 Boas, Ralph P. (Ralph Philip) 19121992 Author
 Willcox, Alfred B. 1925
 School Mathematics Study Group
 Pérez Vilaplana, José
 McShane, Edward J.
 Stanford Univ., Ca. School Mathematics Study Group
 Mathematical Association of America Editor
 University of WisconsinMadison Mathematics Research Center
 Dou, Alberto
Useful Links
Associated Subjects
Algebra Analytic functions Approximation theory Calculus Differential equations EducationCurricula Functional analysis Functions Functions of several real variables Global analysis (Mathematics) Harvard University Madison (Wis.) Mathematical analysis Mathematics MathematicsResearch MathematicsStudy and teaching (Secondary) Military research Polynomials Programmed instruction University of WisconsinMadison.Mathematics Research Center Vector valued functions
Alternative Names
Buck, R. C.
Buck, R. Creighton 1920...
Buck, Robert C. 19201998
Buck, Robert Creighton.
Buck, Robert Creighton 1920
Buck, Robert Creighton 19201998
Creighton Buck Robert
Robert Creighton Buck American mathematician
Robert Creighton Buck Amerikaans wiskundige (19201998)
Robert Creighton Buck amerikansk matematikar
Robert Creighton Buck amerikansk matematiker
Robert Creighton Buck USamerikanischer Mathematiker
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