Thorpe, John A.
Overview
Works:  24 works in 125 publications in 8 languages and 2,383 library holdings 

Genres:  Caricatures and cartoons Handbooks and manuals 
Roles:  Author 
Classifications:  QA611, 516.36 
Publication Timeline
.
Most widely held works by
John A Thorpe
Lecture notes on elementary topology and geometry by
I. M Singer(
Book
)
48 editions published between 1967 and 2012 in English and Undetermined and held by 1,117 WorldCat member libraries worldwide
At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After the calculus, he takes a course in analysis and a course in algebra. Depending upon his interests (or those of his department), he takes courses in special topics. Ifhe is exposed to topology, it is usually straightforward point set topology; if he is exposed to geom? etry, it is usually classical differential geometry. The exciting revelations that there is some unity in mathematics, that fields overlap, that techniques of one field have applications in another, are denied the undergraduate. He must wait until he is well into graduate work to see interconnections, presumably because earlier he doesn't know enough. These notes are an attempt to break up this compartmentalization, at least in topologygeometry. What the student has learned in algebra and advanced calculus are used to prove some fairly deep results relating geometry, topol? ogy, and group theory. (De Rham's theorem, the GaussBonnet theorem for surfaces, the functorial relation of fundamental group to covering space, and surfaces of constant curvature as homogeneous spaces are the most note? worthy examples.) In the first two chapters the bare essentials of elementary point set topology are set forth with some hint ofthe subject's application to functional analysis
48 editions published between 1967 and 2012 in English and Undetermined and held by 1,117 WorldCat member libraries worldwide
At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After the calculus, he takes a course in analysis and a course in algebra. Depending upon his interests (or those of his department), he takes courses in special topics. Ifhe is exposed to topology, it is usually straightforward point set topology; if he is exposed to geom? etry, it is usually classical differential geometry. The exciting revelations that there is some unity in mathematics, that fields overlap, that techniques of one field have applications in another, are denied the undergraduate. He must wait until he is well into graduate work to see interconnections, presumably because earlier he doesn't know enough. These notes are an attempt to break up this compartmentalization, at least in topologygeometry. What the student has learned in algebra and advanced calculus are used to prove some fairly deep results relating geometry, topol? ogy, and group theory. (De Rham's theorem, the GaussBonnet theorem for surfaces, the functorial relation of fundamental group to covering space, and surfaces of constant curvature as homogeneous spaces are the most note? worthy examples.) In the first two chapters the bare essentials of elementary point set topology are set forth with some hint ofthe subject's application to functional analysis
Elementary topics in differential geometry by
John A Thorpe(
Book
)
43 editions published between 1979 and 2011 in 5 languages and held by 849 WorldCat member libraries worldwide
This introductory text develops the geometry of ndimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. the calculus of vector fields is used as the primary tool in developing the theory. Coordinate patches are introduced only after preliminary discussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text, which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a onesemester course at the junior/senior level
43 editions published between 1979 and 2011 in 5 languages and held by 849 WorldCat member libraries worldwide
This introductory text develops the geometry of ndimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. the calculus of vector fields is used as the primary tool in developing the theory. Coordinate patches are introduced only after preliminary discussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text, which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a onesemester course at the junior/senior level
Linear algebra, with applications to differential equations by
P. G Kumpel(
Book
)
6 editions published between 1983 and 1985 in English and held by 198 WorldCat member libraries worldwide
6 editions published between 1983 and 1985 in English and held by 198 WorldCat member libraries worldwide
Elementary linear algebra by
John A Thorpe(
Book
)
1 edition published in 1984 in English and held by 76 WorldCat member libraries worldwide
1 edition published in 1984 in English and held by 76 WorldCat member libraries worldwide
Lezioni di topologia elementare e di geometria by
I. M Singer(
Book
)
2 editions published in 1980 in Italian and held by 26 WorldCat member libraries worldwide
2 editions published in 1980 in Italian and held by 26 WorldCat member libraries worldwide
Lecture notes on elementary topology and geometry by
I. M Singer(
)
1 edition published in 1967 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1967 in English and held by 5 WorldCat member libraries worldwide
Lectures de Platon(
Book
)
1 edition published in 1984 in French and held by 5 WorldCat member libraries worldwide
1 edition published in 1984 in French and held by 5 WorldCat member libraries worldwide
Toporojī to kikagaku nyūmon(
Book
)
2 editions published in 1976 in Japanese and held by 4 WorldCat member libraries worldwide
2 editions published in 1976 in Japanese and held by 4 WorldCat member libraries worldwide
Exploring employment by
John A Thorpe(
Book
)
1 edition published in 1995 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 3 WorldCat member libraries worldwide
Exploring inflation by
John A Thorpe(
Book
)
1 edition published in 1995 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 3 WorldCat member libraries worldwide
Student solutions manual for Elementary linear algebra by
John A Thorpe(
Book
)
2 editions published in 1984 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1984 in English and held by 3 WorldCat member libraries worldwide
Metoda elementów skończonych by Janusz Juraszek(
Book
)
2 editions published in 1998 in Polish and held by 2 WorldCat member libraries worldwide
2 editions published in 1998 in Polish and held by 2 WorldCat member libraries worldwide
Cartoons and activities : Form six economics by
John A Thorpe(
Book
)
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
Cartoons with associated questions and discussions points introduce aspects of economics such as: employment, inflation, economic growth, and international trade. Suggested level: senior secondary
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
Cartoons with associated questions and discussions points introduce aspects of economics such as: employment, inflation, economic growth, and international trade. Suggested level: senior secondary
Lecture notes on elementery topology and geometry by
I. M Singer(
Book
)
2 editions published in 1967 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1967 in English and held by 2 WorldCat member libraries worldwide
The dynamics of rocketpowered vehicles by
John A Thorpe(
Book
)
2 editions published in 1959 in English and held by 2 WorldCat member libraries worldwide
The report presents a set of differential equations describing the motion of a rocketpowered vehicle. These equations are derived from Newton's second and third laws of motion. The treatment implicitly includes the effects of aerodynamics, bending, and fuel sloshing. However, for application to particular problems, the theory of elasticity and of fluid dynamics (which can be found in standard texts) must be combined with the theory of rocketpowered motion. Also presented, in the form of appendices, is some of the mathematical background found to be useful in the derivation of the equations for rocketpowered motion. (Author)
2 editions published in 1959 in English and held by 2 WorldCat member libraries worldwide
The report presents a set of differential equations describing the motion of a rocketpowered vehicle. These equations are derived from Newton's second and third laws of motion. The treatment implicitly includes the effects of aerodynamics, bending, and fuel sloshing. However, for application to particular problems, the theory of elasticity and of fluid dynamics (which can be found in standard texts) must be combined with the theory of rocketpowered motion. Also presented, in the form of appendices, is some of the mathematical background found to be useful in the derivation of the equations for rocketpowered motion. (Author)
Lecture notes on elementary topogy and geometry : with 109 illustrations by
I. M Singer(
Book
)
2 editions published in 2009 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2009 in English and held by 2 WorldCat member libraries worldwide
General notes made during a visit to Mount Sassafrass, Shoalhaven district by
Robert Etheridge(
)
1 edition published in 1890 in English and held by 1 WorldCat member library worldwide
P.2223; Neighbourhood of Sassafrass was refuge ground for natives who had offended marriage law; spear throwing revenge; burial customs; skeleton found
1 edition published in 1890 in English and held by 1 WorldCat member library worldwide
P.2223; Neighbourhood of Sassafrass was refuge ground for natives who had offended marriage law; spear throwing revenge; burial customs; skeleton found
Toporoji to kikagaku niyumon(
Book
)
1 edition published in 1980 in Japanese and held by 1 WorldCat member library worldwide
1 edition published in 1980 in Japanese and held by 1 WorldCat member library worldwide
Tuo pu xue(
Book
)
1 edition published in 1985 in Chinese and held by 1 WorldCat member library worldwide
1 edition published in 1985 in Chinese and held by 1 WorldCat member library worldwide
Higher order sectional curvatures by
John A Thorpe(
)
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
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Algebraic topology Algebras, Linear Canada Differential equations Economic history Economics Geometry Geometry, Differential Global differential geometry Inflation (Finance) Labor market Labor marketStatistics Mathematics New Zealand Rockets (Aeronautics) Scientists Topological algebras Topology Unemployment UnemploymentGovernment policy United States
Alternative Names
John A. Thorpe American mathematician
John A. Thorpe Amerikaans wiskundige
John A. Thorpe USamerikanischer Mathematiker
Thorpe, J. A.
Thorpe, J. A. (John A.)
Thorpe, John.
Thorpe, John A.
Thorpe, John Alden
Torp, Dž.
ソープ, J.A.
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