WorldCat Identities

Menger, Karl 1902-1985

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
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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

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

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 ""mini-calculus"" 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

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
Dimensionstheorie by Karl Menger( Book )

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

Géométrie générale by Karl Menger( Book )

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
Algebra of analysis by Karl Menger( Book )

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

Reports of a mathematical colloquium( )

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

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

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

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 real-number 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

Ergebnisse eines mathematischen Kolloquium( )

in German and held by 26 WorldCat member libraries worldwide

Ergebnisse eines mathematischen Kolloquiums( )

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

 
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Morality, decision, and social organization : toward a logic of ethics
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 1902-1985

Menger, K.

Карл Менгер математик

מנגר, קארל 1902-1985

מנגר, קרל 1902-1985

קרל מנגר

كارل مينغر

کارل منگر ریاضی‌دان و فیلسوف اتریشی

カール・メンガー

Languages
English (117)

German (102)

French (3)

Italian (3)

Dutch (1)

Covers
Calculus : a modern approachSelected papers in logic and foundations, didactics, economicsKarl Menger : selecta mathematicaIntroduction to mathematical thinking: the formation of concepts in modern mathematicsEmpiricism, logic, and mathematics : philosophical papersUnexplored dimensions : Karl Menger on economics and philosophy (1923-1938)Unexplored dimensions Karl Menger on economics and philosophy (1923-1938)