Cairns, Stewart S. (Stewart Scott)
Overview
Works:  17 works in 91 publications in 3 languages and 2,268 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA611, 513.83 
Publication Timeline
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Most widely held works about
Stewart S Cairns
 Reflections of a septuagenarian mathematician : an invited talk at a departmental meeting by Stewart S Cairns( )
 Cairns, Stewart S. collection by Stewart S Cairns( )
 Oral history interview with Frederick Seitz by Frederick Seitz( )
 Reflections of a septuagenarian mathematician by Stewart S Cairns( Recording )
Most widely held works by
Stewart S Cairns
Introductory topology by
Stewart S Cairns(
Book
)
26 editions published between 1961 and 1987 in English and Undetermined and held by 752 WorldCat member libraries worldwide
Illustrative geometric exemples; Topological Classification of surfaces; Introduction to setTheoretic topology; Homology and cohomology groups; topological invariance of Homology properties; Manifolds; The fundamental Group; Covering surfaces
26 editions published between 1961 and 1987 in English and Undetermined and held by 752 WorldCat member libraries worldwide
Illustrative geometric exemples; Topological Classification of surfaces; Introduction to setTheoretic topology; Homology and cohomology groups; topological invariance of Homology properties; Manifolds; The fundamental Group; Covering surfaces
Critical point theory in global analysis and differential topology; an introduction by
Marston Morse(
Book
)
27 editions published between 1969 and 1978 in 3 languages and held by 638 WorldCat member libraries worldwide
Critical point theory in global analysis and differential topology
27 editions published between 1969 and 1978 in 3 languages and held by 638 WorldCat member libraries worldwide
Critical point theory in global analysis and differential topology
Differential and combinatorial topology; a symposium in honor of Marston Morse by
Stewart S Cairns(
Book
)
20 editions published between 1965 and 2015 in English and Italian and held by 569 WorldCat member libraries worldwide
20 editions published between 1965 and 2015 in English and Italian and held by 569 WorldCat member libraries worldwide
Pits, peaks and passes a lecture on critical point theory(
Visual
)
4 editions published in 1993 in English and held by 39 WorldCat member libraries worldwide
In Part 1, Professor Marston Morse, using as examples island peaks, pits and passes, analyzes the critical points of a function defined on an orientable twodimensional manifold. Part 2 turns to higher dimensions, to functions on the 3sphere and applications
4 editions published in 1993 in English and held by 39 WorldCat member libraries worldwide
In Part 1, Professor Marston Morse, using as examples island peaks, pits and passes, analyzes the critical points of a function defined on an orientable twodimensional manifold. Part 2 turns to higher dimensions, to functions on the 3sphere and applications
Scientific papers from Department of Mathematics by
Lehigh University(
Book
)
2 editions published in 1933 in English and held by 17 WorldCat member libraries worldwide
2 editions published in 1933 in English and held by 17 WorldCat member libraries worldwide
Smooth approximations to polyhedra by
Stewart S Cairns(
Book
)
in English and held by 6 WorldCat member libraries worldwide
in English and held by 6 WorldCat member libraries worldwide
On the partition of the vertices of an ncube by an (n1)plane by
Stewart S Cairns(
Book
)
1 edition published in 1955 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1955 in English and held by 4 WorldCat member libraries worldwide
Balance scale sorting by
Stewart S Cairns(
Book
)
1 edition published in 1955 in English and held by 4 WorldCat member libraries worldwide
Given (1) a set W of n objects, indistinguishable save that the members of a subset H of h objects are slightly heavier than the rest (2) a balance scale, one seeks weighing programs minimizing either (Problem M(n, h)) the maximum number of weighings which may be required to cull out H or (Problem E(n, h)) the expected number of such weighings. Problem M(n,1) is a familiar puzzle. Problem E(n,1) was solved under various hypotheses. Problem M(n,2) was partially solved. Some aspects of it require further investigation. The paper could be used as a basis for more research on M(n, h) and E(n, h) in general. Some of the techniques involve manipulations of series which may be applicable to other combinatorial problems. (Author)
1 edition published in 1955 in English and held by 4 WorldCat member libraries worldwide
Given (1) a set W of n objects, indistinguishable save that the members of a subset H of h objects are slightly heavier than the rest (2) a balance scale, one seeks weighing programs minimizing either (Problem M(n, h)) the maximum number of weighings which may be required to cull out H or (Problem E(n, h)) the expected number of such weighings. Problem M(n,1) is a familiar puzzle. Problem E(n,1) was solved under various hypotheses. Problem M(n,2) was partially solved. Some aspects of it require further investigation. The paper could be used as a basis for more research on M(n, h) and E(n, h) in general. Some of the techniques involve manipulations of series which may be applicable to other combinatorial problems. (Author)
[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
Lehigh University... Scientific papers from Department of mathematics. 1. The direction cosines of A p space in Euclidean
n space, by S. S. Cairns,... 2. On the cellular subdivision of n dimensional regions, by S. S. Cairns,... 3. An axiomatic
basis for plane geometry, by S. S. Cairns,... 4. The spectroscopic binary B. D. 18° 3295, by Ralph N. Van Arnam,... 5. The
summation of certain series by Fourier expansions, by J. B. Reynolds by
Joseph B Reynolds(
Book
)
1 edition published in 1933 in English and held by 1 WorldCat member library worldwide
1 edition published in 1933 in English and held by 1 WorldCat member library worldwide
Pits, peaks, and passes a lecture on critical point theory by Marston Morse(
Visual
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
In this twopart lecture, Marston Morse analyzes the critical point of a function defined on a twodimensional manifold. He then goes on to higher dimensions, functions on the 3sphere, and applications. Video includes an interview with Professor Morse
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
In this twopart lecture, Marston Morse analyzes the critical point of a function defined on a twodimensional manifold. He then goes on to higher dimensions, functions on the 3sphere, and applications. Video includes an interview with Professor Morse
The cellular division and approximation of regular spreads by
Stewart S Cairns(
Book
)
1 edition published in 1931 in English and held by 1 WorldCat member library worldwide
1 edition published in 1931 in English and held by 1 WorldCat member library worldwide
Critical point theory in global analysis and differential topology. An introd by
Marston Morse(
Book
)
1 edition published in 1969 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1969 in English and held by 0 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Morse, Marston 18921977 Honoree Dedicatee Author Editor
 Institute for Advanced Study (Princeton, N.J.)
 Amram Nowak Associates
 Mathematical Association of America Committee on Educational Media
 Nowak, Amram
 Reynolds, Joseph Benson 1881 Author
 Lehigh University Department of Mathematics
 Van Arnam, Ralph Newcomb 1902
 Machle, Willard
 Mathematical Association of America
Associated Subjects
Adams, Roger, Algebraic topology Axioms Berkner, Lloyd V.(Lloyd Viel), Brode, Wallace R.(Wallace Reed), Bronk, Detlev W.(Detlev Wulf), Cairns, Stewart S.(Stewart Scott) Celestial mechanics Combinatorial analysis Combinatorial topology Cornell, Douglas Critical point theory (Mathematical analysis) Differential topology Double starsOrbits Floating bodies Fourier series Geometry, Plane Global analysis (Mathematics) Goudsmit, Samuel A.(Samuel Abraham), Humphrey, Hubert H.(Hubert Horatio), Hyperspace Kistiakowsky, George B.(George Bogdan), Linear programming Mathematical optimization Mathematicians Morse, Marston, North Atlantic Treaty Organization Powder metallurgy Ramsey, Norman, Relativity Ridenour, Louis N.(Louis Nicot), Robertson, H. P.(Howard Percy), Seitz, Frederick, Strains and stresses Topology United States Whitman, Walter G.(Walter George),