Menger, Karl 19021985
Overview
Works:  95 works in 350 publications in 5 languages and 5,049 library holdings 

Genres:  Manuscripts Exhibition catalogs Biography Records and correspondence Conference papers and proceedings Periodicals Criticism, interpretation, etc Economic history 
Roles:  Author, Creator, Editor, Author of introduction, Honoree, Recipient, Other 
Classifications:  HB175, 510.1 
Publication Timeline
.
Most widely held works about
Karl Menger
 Reminiscences of the Vienna Circle and the Mathematical Colloquium by Karl Menger( Book )
 Unexplored dimensions : Karl Menger on economics and philosophy (19231938) by Karl Menger( Book )
 Briefe an Karl Menger und Helmut Hasse by O Schreier( Book )
 Unexplored dimensions Karl Menger on economics and philosophy (19231938) by Giandomenica Becchio( Book )
 Reason, ethics and rigour : Morgenstern, Menger, and mathematical economics, 19281944 by Robert Leonard( Book )
 Haim Reingold papers by Haim Reingold( )
 Karl Menger by Robert Zuckerkandl( )
more
fewer
Most widely held works by
Karl Menger
Studies in geometry by
Leonard M Blumenthal(
Book
)
12 editions published in 1970 in English and Undetermined and held by 689 WorldCat member libraries worldwide
12 editions published in 1970 in English and Undetermined and held by 689 WorldCat member libraries worldwide
Morality, decision, and social organization : toward a logic of ethics by
Karl Menger(
Book
)
41 editions published between 1934 and 1997 in 6 languages and held by 546 WorldCat member libraries worldwide
41 editions published between 1934 and 1997 in 6 languages and held by 546 WorldCat member libraries worldwide
Calculus : a modern approach by
Karl Menger(
Book
)
31 editions published between 1952 and 2014 in English and Undetermined and held by 417 WorldCat member libraries worldwide
One of the twentieth century's most original mathematicians and thinkers, Karl Menger taught students of many backgrounds. In this, his radical revision of the traditional calculus text, he presents pure and applied calculus in a unified conceptual frame, offering a thorough understanding of theory as well as of the methodology underlying the use of calculus as a tool.The most outstanding feature of this text is the care with which it explains basic ideas, a feature that makes it equally suitable for beginners and experienced readers. The text begins with a ""minicalculus"" which brings out t
31 editions published between 1952 and 2014 in English and Undetermined and held by 417 WorldCat member libraries worldwide
One of the twentieth century's most original mathematicians and thinkers, Karl Menger taught students of many backgrounds. In this, his radical revision of the traditional calculus text, he presents pure and applied calculus in a unified conceptual frame, offering a thorough understanding of theory as well as of the methodology underlying the use of calculus as a tool.The most outstanding feature of this text is the care with which it explains basic ideas, a feature that makes it equally suitable for beginners and experienced readers. The text begins with a ""minicalculus"" which brings out t
Kurventheorie by
Karl Menger(
Book
)
30 editions published between 1932 and 1967 in 4 languages and held by 365 WorldCat member libraries worldwide
30 editions published between 1932 and 1967 in 4 languages and held by 365 WorldCat member libraries worldwide
Selected papers in logic and foundations, didactics, economics by
Karl Menger(
Book
)
4 editions published between 1978 and 1979 in English and held by 305 WorldCat member libraries worldwide
This volume brings together those papers of mine which may be of interest not only to various specialists but also to philosophers. Many of my writings in mathematics were motivated by epistemological considerations; some papers originated in the critique of certain views that at one time dominated the discussions of the Vienna Cirele; others grew out of problems in teaching fundamental ideas of mathematics; sti II others were occasioned by personal relations with economists. Hence a wide range of subjects will be discussed: epistemology, logic, basic concepts of pure and applied mathematics, philosophical ideas resulting from geometric studies, mathematical didactics and, finally, economics. The papers also span a period of more than fifty years. What unifies the various parts of the book is the spirit of searching for the elarification of basic concepts and methods and of articulating hidden ideas and tacit procedures. Part 1 ineludes papers published about 1930 which expound an idea that Carnap, after a short period of opposition in the Cirele, fully adopted ; and, under the name "Princip/e of To/erance", he eloquently formulated it in great generality in his book, Logica/ Syntax of Language (1934), through which it was widely disseminated. "The New Logic" in Chapter 1 furthermore ineludes the first report (I932) to a larger public of Godel's epochal discovery presented among the great logic results of ali time. Chapter 2 is a translation of an often quoted 1930 paper presenting a detailed exposition and critique of intuitionism
4 editions published between 1978 and 1979 in English and held by 305 WorldCat member libraries worldwide
This volume brings together those papers of mine which may be of interest not only to various specialists but also to philosophers. Many of my writings in mathematics were motivated by epistemological considerations; some papers originated in the critique of certain views that at one time dominated the discussions of the Vienna Cirele; others grew out of problems in teaching fundamental ideas of mathematics; sti II others were occasioned by personal relations with economists. Hence a wide range of subjects will be discussed: epistemology, logic, basic concepts of pure and applied mathematics, philosophical ideas resulting from geometric studies, mathematical didactics and, finally, economics. The papers also span a period of more than fifty years. What unifies the various parts of the book is the spirit of searching for the elarification of basic concepts and methods and of articulating hidden ideas and tacit procedures. Part 1 ineludes papers published about 1930 which expound an idea that Carnap, after a short period of opposition in the Cirele, fully adopted ; and, under the name "Princip/e of To/erance", he eloquently formulated it in great generality in his book, Logica/ Syntax of Language (1934), through which it was widely disseminated. "The New Logic" in Chapter 1 furthermore ineludes the first report (I932) to a larger public of Godel's epochal discovery presented among the great logic results of ali time. Chapter 2 is a translation of an often quoted 1930 paper presenting a detailed exposition and critique of intuitionism
Dimensionstheorie by
Karl Menger(
Book
)
8 editions published in 1928 in 3 languages and held by 138 WorldCat member libraries worldwide
8 editions published in 1928 in 3 languages and held by 138 WorldCat member libraries worldwide
Principles of economics. First, general part by
Carl Menger(
Book
)
5 editions published between 1923 and 1968 in German and held by 135 WorldCat member libraries worldwide
5 editions published between 1923 and 1968 in German and held by 135 WorldCat member libraries worldwide
Géométrie générale by
Karl Menger(
Book
)
2 editions published in 1954 in French and held by 131 WorldCat member libraries worldwide
2 editions published in 1954 in French and held by 131 WorldCat member libraries worldwide
Karl Menger : selecta mathematica by
Karl Menger(
Book
)
18 editions published between 2002 and 2013 in English and German and held by 128 WorldCat member libraries worldwide
Karl Menger, one of the founders of dimension theory, belongs to the most original mathematicians and thinkers of the twentieth century. He was a member of the Vienna Circle and the founder of its mathematical equivalent, the Viennese Mathematical Colloquium. Both during his early years in Vienna, and after his emigration to the United States, Karl Menger made significant contributions to a wide variety of mathematical fields, and greatly influenced some of his colleagues. The "Selecta Mathematica' contain Menger's major mathematical papers, based on a personal selection by himself out of his extensive writings. They deal with topics as diverse as topology, geometry, analysis and algebra, as well as writings on economics, sociology, logic, philosophy and mathematical results. The two volumes are a monument to the diversity and originality of Menger's ideas
18 editions published between 2002 and 2013 in English and German and held by 128 WorldCat member libraries worldwide
Karl Menger, one of the founders of dimension theory, belongs to the most original mathematicians and thinkers of the twentieth century. He was a member of the Vienna Circle and the founder of its mathematical equivalent, the Viennese Mathematical Colloquium. Both during his early years in Vienna, and after his emigration to the United States, Karl Menger made significant contributions to a wide variety of mathematical fields, and greatly influenced some of his colleagues. The "Selecta Mathematica' contain Menger's major mathematical papers, based on a personal selection by himself out of his extensive writings. They deal with topics as diverse as topology, geometry, analysis and algebra, as well as writings on economics, sociology, logic, philosophy and mathematical results. The two volumes are a monument to the diversity and originality of Menger's ideas
Algebra of analysis by
Karl Menger(
Book
)
4 editions published in 1944 in English and held by 120 WorldCat member libraries worldwide
4 editions published in 1944 in English and held by 120 WorldCat member libraries worldwide
The basic concepts of mathematics; a companion to current textbooks on algebra and analytic geometry by
Karl Menger(
Book
)
6 editions published between 1956 and 1957 in English and held by 96 WorldCat member libraries worldwide
6 editions published between 1956 and 1957 in English and held by 96 WorldCat member libraries worldwide
Reports of a mathematical colloquium(
)
in English and held by 92 WorldCat member libraries worldwide
in English and held by 92 WorldCat member libraries worldwide
Krise und neuaufbau in den exakten wissenschaften; fünf Wiener vorträge by
H. F Mark(
Book
)
6 editions published in 1933 in German and held by 54 WorldCat member libraries worldwide
6 editions published in 1933 in German and held by 54 WorldCat member libraries worldwide
Alte Probleme; neue Lösungen in den exakten Wissenschaften. Fünf Wiener Vorträge. Zweiter zyklus(
Book
)
8 editions published in 1934 in German and held by 42 WorldCat member libraries worldwide
8 editions published in 1934 in German and held by 42 WorldCat member libraries worldwide
Ergebnisse eines Mathematischen Kolloquiums by
Karl Menger(
Book
)
10 editions published between 1937 and 1998 in German and English and held by 37 WorldCat member libraries worldwide
10 editions published between 1937 and 1998 in German and English and held by 37 WorldCat member libraries worldwide
Introduction to mathematical thinking: the formation of concepts in modern mathematics by
Friedrich Waismann(
Book
)
15 editions published between 1936 and 2003 in German and English and held by 27 WorldCat member libraries worldwide
This enlightening survey of mathematical concept formation holds a natural appeal to philosophically minded readers, and no formal training in mathematics is necessary to appreciate its clear exposition of mathematic fundamentals. Rather than a system of theorems with completely developed proofs or examples of applications, readers will encounter a coherent presentation of mathematical ideas that begins with the natural numbers and basic laws of arithmetic and progresses to the problems of the realnumber continuum and concepts of the calculus. Contents include examinations of the various types of numbers and a criticism of the extension of numbers; arithmetic, geometry, and the rigorous construction of the theory of integers; the rational numbers, the foundation of the arithmetic of natural numbers, and the rigorous construction of elementary arithmetic. Advanced topics encompass the principle of complete induction; the limit and point of accumulation; operating with sequences and differential quotient; remarkable curves; real numbers and ultrareal numbers; and complex and hypercomplex numbers. In issues of mathematical philosophy, the author explores basic theoretical differences that have been a source of debate among the most prominent scholars and on which contemporary mathematicians remain divided. "With exceptional clarity, but with no evasion of essential ideas, the author outlines the fundamental structure of mathematics." {u2014} Carl B. Boyer, Brooklyn College. 27 figures. Index
15 editions published between 1936 and 2003 in German and English and held by 27 WorldCat member libraries worldwide
This enlightening survey of mathematical concept formation holds a natural appeal to philosophically minded readers, and no formal training in mathematics is necessary to appreciate its clear exposition of mathematic fundamentals. Rather than a system of theorems with completely developed proofs or examples of applications, readers will encounter a coherent presentation of mathematical ideas that begins with the natural numbers and basic laws of arithmetic and progresses to the problems of the realnumber continuum and concepts of the calculus. Contents include examinations of the various types of numbers and a criticism of the extension of numbers; arithmetic, geometry, and the rigorous construction of the theory of integers; the rational numbers, the foundation of the arithmetic of natural numbers, and the rigorous construction of elementary arithmetic. Advanced topics encompass the principle of complete induction; the limit and point of accumulation; operating with sequences and differential quotient; remarkable curves; real numbers and ultrareal numbers; and complex and hypercomplex numbers. In issues of mathematical philosophy, the author explores basic theoretical differences that have been a source of debate among the most prominent scholars and on which contemporary mathematicians remain divided. "With exceptional clarity, but with no evasion of essential ideas, the author outlines the fundamental structure of mathematics." {u2014} Carl B. Boyer, Brooklyn College. 27 figures. Index
You will like geometry : a guide book for the Illinois Institute of Technology geometry exhibition at the Museum of Science
and Industry by
Karl Menger(
Book
)
5 editions published between 1952 and 1961 in English and held by 27 WorldCat member libraries worldwide
5 editions published between 1952 and 1961 in English and held by 27 WorldCat member libraries worldwide
Ergebnisse eines mathematischen Kolloquium(
)
in German and held by 26 WorldCat member libraries worldwide
in German and held by 26 WorldCat member libraries worldwide
Ergebnisse eines mathematischen Kolloquiums(
)
in German and held by 23 WorldCat member libraries worldwide
in German and held by 23 WorldCat member libraries worldwide
Empiricism, logic, and mathematics : philosophical papers by
Hans Hahn(
Book
)
5 editions published in 1980 in English and held by 22 WorldCat member libraries worldwide
5 editions published in 1980 in English and held by 22 WorldCat member libraries worldwide
more
fewer
Audience Level
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Related Identities
 Becchio, Giandomenica Author
 Blumenthal, Leonard M. (Leonard Mascot) 19011984 Author
 Nöbeling, Georg Editor
 Sklar, A. (Abe) Editor
 Schweizer, B. (Berthold) Editor
 McGuinness, Brian Editor
 Golland, Louise 1942 Editor
 Menger, Carl 18401921 Author
 Hahn, Hans 18791934 Author
 Mark, H. F. (Herman Francis) 18951992
Useful Links
Associated Subjects
Algebra Austria Austrian school of economics AustriaVienna Biochemistry Calculus Chemical elements Circlesquaring Curves Desire Dimensions Dimension theory (Algebra) Dimension theory (Topology) Diminishing returns Economic history Economics Economics, Mathematical EconomicsPhilosophy Ethics Genetic epistemology Geometry Geometry, Analytic Hasse, Helmut, Infinite Interplanetary voyages Intuition Lattice theory Logic Logic, Symbolic and mathematical Mathematical analysis Mathematicians Mathematics MathematicsPhilosophy MathematicsStudy and teaching Menger, Carl, Menger, Karl, Metric spaces Morgenstern, Oskar, Number concept Philosophy Philosophy, Austrian PhysicsPhilosophy Reasoning Schreier, O.(Otto), Set theory Social sciencesPhilosophy Topology Uncertainty United States Vienna circle
Alternative Names
Karl Menger austriacki matematyk
Karl Menger Austrian mathematician
Karl Menger matematico austriaco
Karl Menger mathématicien autrichien
Karl Menger Oostenrijks wiskundige
Karl Menger Rakouský matematik
Menger Carlos 19021985
Menger, K.
Карл Менгер математик
מנגר, קארל 19021985
מנגר, קרל 19021985
קרל מנגר
كارل مينغر
کارل منگر ریاضیدان و فیلسوف اتریشی
カール・メンガー
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