Menger, Karl 19021985
Overview
Works:  110 works in 388 publications in 5 languages and 5,222 library holdings 

Genres:  History Exhibition catalogs Biography Records and correspondence Conference papers and proceedings Periodicals Criticism, interpretation, etc Economic history 
Roles:  Author, Creator, Author of introduction, Editor, Honoree, Other, Recipient 
Classifications:  QA9, 510.1 
Publication Timeline
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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
)
13 editions published in 1970 in English and Undetermined and held by 689 WorldCat member libraries worldwide
13 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
)
19 editions published in 1974 in 4 languages and held by 421 WorldCat member libraries worldwide
19 editions published in 1974 in 4 languages and held by 421 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 414 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 the fundamental results without recourse to the notions of limit and continuity. The standard subject matter is then presented as a pure and unambiguous calculus of functions. The issues surrounding the applications of pure calculus to problems in the sciences are faced in a forthright manner by carefully analyzing the meaning of variable quantity and clarified by resuscitating Newton's concept of fluents. The accompanying exercises are original, insightful and an integral part of the text. This Dover edition features a new Preface and Guide to Further Reading by Bert Schweizer and Abe Sklar
31 editions published between 1952 and 2014 in English and Undetermined and held by 414 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 the fundamental results without recourse to the notions of limit and continuity. The standard subject matter is then presented as a pure and unambiguous calculus of functions. The issues surrounding the applications of pure calculus to problems in the sciences are faced in a forthright manner by carefully analyzing the meaning of variable quantity and clarified by resuscitating Newton's concept of fluents. The accompanying exercises are original, insightful and an integral part of the text. This Dover edition features a new Preface and Guide to Further Reading by Bert Schweizer and Abe Sklar
Kurventheorie by
Karl Menger(
Book
)
30 editions published between 1932 and 1967 in 4 languages and held by 366 WorldCat member libraries worldwide
30 editions published between 1932 and 1967 in 4 languages and held by 366 WorldCat member libraries worldwide
Selected papers in logic and foundations, didactics, economics by
Karl Menger(
Book
)
11 editions published between 1978 and 1979 in English and held by 345 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
11 editions published between 1978 and 1979 in English and held by 345 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
)
14 editions published in 1928 in 4 languages and held by 151 WorldCat member libraries worldwide
14 editions published in 1928 in 4 languages and held by 151 WorldCat member libraries worldwide
Géométrie générale by
Karl Menger(
Book
)
7 editions published in 1954 in French and held by 148 WorldCat member libraries worldwide
7 editions published in 1954 in French and held by 148 WorldCat member libraries worldwide
Grundsätze der Volkswirtschaftslehre by
Carl Menger(
Book
)
4 editions published between 1923 and 1968 in German and held by 135 WorldCat member libraries worldwide
La labor crucial de Menger en la historia del pensamiento económico se desarrolló en una doble vertiente. Por un lado, en el enfoque subjetivista e individualista el individualismo metodológico de la teoría del valor y de los precios y, en general, de las diversas categorías económicas. Fruto de este enfoque fueron sus principios de economía política que, junto con la Theory of Political Economy de Jevons (Walras vino más tarde), constituyeron el arranque de lo que se ha dado en llamar la revolución marginalista en teoría económica. La otra gran aportación de Menger fue su defensa de la teoría frente a las dominantes corrientes positivistas e historicistas. Su lúcida participación en la gran polémica sobre el método la Methodenstreit se concretó en uno de los más sugestivos libros sobre metodología de las ciencias sociales, sus famosas Untersuchungen. En palabras de Hayek, para los historiadores resulta incuestionable que la posición poco menos que excepcional alcanzada por la escuela austriaca en el proceso del desarrollo de la economía política se debe casi en su totalidad a los fundamentos sobre los que la asentó este gran economista, aunque la fama de la escuela cara al exterior y el desarrollo de algunas partes esenciales del sistema se debieran a sus brillantes seguidores como Eugen von Böhm Waberk, Friedrich von Wieser, Ludwig von Mises [y el propio Hayek]. En relación concretamente con la presente obra, Knut Wicksell no dudó en afirmar que desde los principios de Ricardo ninguna obra ha tenido tan gran influencia sobre el desarrollo de la ciencia económica como los Principios de Menger
4 editions published between 1923 and 1968 in German and held by 135 WorldCat member libraries worldwide
La labor crucial de Menger en la historia del pensamiento económico se desarrolló en una doble vertiente. Por un lado, en el enfoque subjetivista e individualista el individualismo metodológico de la teoría del valor y de los precios y, en general, de las diversas categorías económicas. Fruto de este enfoque fueron sus principios de economía política que, junto con la Theory of Political Economy de Jevons (Walras vino más tarde), constituyeron el arranque de lo que se ha dado en llamar la revolución marginalista en teoría económica. La otra gran aportación de Menger fue su defensa de la teoría frente a las dominantes corrientes positivistas e historicistas. Su lúcida participación en la gran polémica sobre el método la Methodenstreit se concretó en uno de los más sugestivos libros sobre metodología de las ciencias sociales, sus famosas Untersuchungen. En palabras de Hayek, para los historiadores resulta incuestionable que la posición poco menos que excepcional alcanzada por la escuela austriaca en el proceso del desarrollo de la economía política se debe casi en su totalidad a los fundamentos sobre los que la asentó este gran economista, aunque la fama de la escuela cara al exterior y el desarrollo de algunas partes esenciales del sistema se debieran a sus brillantes seguidores como Eugen von Böhm Waberk, Friedrich von Wieser, Ludwig von Mises [y el propio Hayek]. En relación concretamente con la presente obra, Knut Wicksell no dudó en afirmar que desde los principios de Ricardo ninguna obra ha tenido tan gran influencia sobre el desarrollo de la ciencia económica como los Principios de Menger
Moral, wille und weltgestaltung; grundlegung zur logik der sitten by
Karl Menger(
Book
)
19 editions published between 1934 and 1997 in German and French and held by 125 WorldCat member libraries worldwide
19 editions published between 1934 and 1997 in German and French and held by 125 WorldCat member libraries worldwide
Algebra of analysis by
Karl Menger(
Book
)
5 editions published in 1944 in English and Undetermined and held by 121 WorldCat member libraries worldwide
5 editions published in 1944 in English and Undetermined and held by 121 WorldCat member libraries worldwide
Karl Menger : selecta mathematica by
Karl Menger(
Book
)
12 editions published between 2002 and 2017 in German and English and held by 117 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
12 editions published between 2002 and 2017 in German and English and held by 117 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
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
The basic concepts of mathematics; a companion to current textbooks on algebra and analytic geometry by
Karl Menger(
Book
)
3 editions published between 1956 and 1957 in English and held by 88 WorldCat member libraries worldwide
3 editions published between 1956 and 1957 in English and held by 88 WorldCat member libraries worldwide
Krise und neuaufbau in den exakten wissenschaften; fünf Wiener vorträge by
H. F Mark(
Book
)
5 editions published in 1933 in German and held by 53 WorldCat member libraries worldwide
5 editions published in 1933 in German and held by 53 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 41 WorldCat member libraries worldwide
8 editions published in 1934 in German and held by 41 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
)
16 editions published between 1936 and 2003 in German and English and held by 29 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
16 editions published between 1936 and 2003 in German and English and held by 29 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 28 WorldCat member libraries worldwide
5 editions published between 1952 and 1961 in English and held by 28 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 24 WorldCat member libraries worldwide
in German and held by 24 WorldCat member libraries worldwide
more
fewer
Audience Level
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Kids  General  Special 
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 Other Editor
 Menger, Carl 18401921 Author
 Hahn, Hans 18791934 Author
 Thirring, Hans 18881976
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, History Infinite Interplanetary voyages Lattice theory Logic Logic, Symbolic and mathematical Mathematical analysis Mathematicians Mathematics MathematicsPhilosophy MathematicsStudy and teaching Menger, Karl, Metric spaces Morgenstern, Oskar, Number concept Philosophy, Austrian PhysicsPhilosophy Reasoning Schreier, O.(Otto), Science SciencePhilosophy Set theory Social sciencesPhilosophy Topology Uncertainty United States Vienna circle
Alternative Names
Karl Menger austriacki matematyk
Karl Menger Austrian mathematician
Karl Menger matemàtic austríac
Karl Menger matemático austríaco
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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