Menger, Karl 19021985
Overview
Works:  128 works in 445 publications in 5 languages and 5,369 library holdings 

Genres:  History Periodicals Exhibition catalogs Biography Conference papers and proceedings Records and correspondence Criticism, interpretation, etc Economic history 
Roles:  Author, Editor, Author of introduction, Creator, Other, Honoree, Recipient 
Publication Timeline
.
Most widely held works about
Karl Menger
 Unexplored dimensions : Karl Menger on economics and philosophy (19231938) by Karl Menger( )
 Reminiscences of the Vienna Circle and the Mathematical Colloquium by Karl Menger( Book )
 Briefe an Karl Menger und Helmut Hasse by O Schreier( Book )
 Briefe an Karl Menger und Helmut Hasse by O Schreier( Book )
 Reason, ethics and rigour : Morgenstern, Menger, and mathematical economics, 19281944 by Robert Leonard( Book )
 Haim Reingold papers by Haim Reingold( )
 A conversation with Franz Alt : Oral history by Seymour Kass( )
 Karl Menger( )
more
fewer
Most widely held works by
Karl Menger
Studies in geometry by
Leonard M Blumenthal(
Book
)
11 editions published in 1970 in English and held by 653 WorldCat member libraries worldwide
11 editions published in 1970 in English and held by 653 WorldCat member libraries worldwide
Calculus : a modern approach by
Karl Menger(
Book
)
33 editions published between 1952 and 2014 in English and Undetermined and held by 502 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
33 editions published between 1952 and 2014 in English and Undetermined and held by 502 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
Morality, decision, and social organization : toward a logic of ethics by
Karl Menger(
Book
)
17 editions published in 1974 in 3 languages and held by 459 WorldCat member libraries worldwide
17 editions published in 1974 in 3 languages and held by 459 WorldCat member libraries worldwide
Kurventheorie by
Karl Menger(
Book
)
22 editions published between 1932 and 2018 in German and English and held by 340 WorldCat member libraries worldwide
22 editions published between 1932 and 2018 in German and English and held by 340 WorldCat member libraries worldwide
Selected papers in logic and foundations, didactics, economics by
Karl Menger(
Book
)
13 editions published between 1978 and 1979 in English and Undetermined and held by 339 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
13 editions published between 1978 and 1979 in English and Undetermined and held by 339 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
Principles of economics. First, general part by
Carl Menger(
Book
)
27 editions published between 1871 and 2010 in 4 languages and held by 197 WorldCat member libraries worldwide
Ben shu di yi bu fen suo shu de shi chan sheng jing ji huo dong de yi ban tiao jian,Jia zhi jiao huan,Jia ge he huo bi;Di er bu fen tan tao li xi,Jia ge,Di zu,Shou ru,Xin yong he zhi bi;Di san bu fen ze shi ying yong bu fen,Ji sheng chan he chan ye li lun;Di si bu fen tao lun le dui xian xing jing ji ti zhi de pi pan he jing ji gai ge de ge zhong jian yi
27 editions published between 1871 and 2010 in 4 languages and held by 197 WorldCat member libraries worldwide
Ben shu di yi bu fen suo shu de shi chan sheng jing ji huo dong de yi ban tiao jian,Jia zhi jiao huan,Jia ge he huo bi;Di er bu fen tan tao li xi,Jia ge,Di zu,Shou ru,Xin yong he zhi bi;Di san bu fen ze shi ying yong bu fen,Ji sheng chan he chan ye li lun;Di si bu fen tao lun le dui xian xing jing ji ti zhi de pi pan he jing ji gai ge de ge zhong jian yi
Dimensionstheorie by
Karl Menger(
Book
)
14 editions published between 1928 and 2018 in 3 languages and held by 164 WorldCat member libraries worldwide
14 editions published between 1928 and 2018 in 3 languages and held by 164 WorldCat member libraries worldwide
Géométrie générale by
Karl Menger(
Book
)
9 editions published in 1954 in French and held by 151 WorldCat member libraries worldwide
9 editions published in 1954 in French and held by 151 WorldCat member libraries worldwide
Moral, wille und weltgestaltung; grundlegung zur logik der sitten by
Karl Menger(
Book
)
17 editions published between 1934 and 1997 in German and French and held by 135 WorldCat member libraries worldwide
17 editions published between 1934 and 1997 in German and French and held by 135 WorldCat member libraries worldwide
Algebra of analysis by
Karl Menger(
Book
)
4 editions published in 1944 in English and held by 127 WorldCat member libraries worldwide
4 editions published in 1944 in English and held by 127 WorldCat member libraries worldwide
Karl Menger : selecta mathematica by
Karl Menger(
Book
)
8 editions published between 2002 and 2013 in English and held by 101 WorldCat member libraries worldwide
8 editions published between 2002 and 2013 in English and held by 101 WorldCat member libraries worldwide
Reports of a mathematical colloquium(
)
in English and held by 93 WorldCat member libraries worldwide
in English and held by 93 WorldCat member libraries worldwide
The basic concepts of mathematics; a companion to current textbooks on algebra and analytic geometry by
Karl Menger(
Book
)
2 editions published in 1957 in English and held by 89 WorldCat member libraries worldwide
2 editions published in 1957 in English and held by 89 WorldCat member libraries worldwide
Selecta mathematica by
Karl Menger(
Book
)
25 editions published between 2002 and 2017 in 3 languages and held by 74 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
25 editions published between 2002 and 2017 in 3 languages and held by 74 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
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 58 WorldCat member libraries worldwide
5 editions published in 1933 in German and held by 58 WorldCat member libraries worldwide
Alte Probleme; neue Lösungen in den exakten Wissenschaften. Fünf Wiener Vorträge. Zweiter zyklus(
Book
)
9 editions published in 1934 in German and held by 47 WorldCat member libraries worldwide
9 editions published in 1934 in German and held by 47 WorldCat member libraries worldwide
Ergebnisse eines Mathematischen Kolloquiums by
Karl Menger(
Book
)
11 editions published between 1929 and 1998 in German and English and held by 44 WorldCat member libraries worldwide
11 editions published between 1929 and 1998 in German and English and held by 44 WorldCat member libraries worldwide
Empiricism, logic, and mathematics : philosophical papers by
Hans Hahn(
Book
)
7 editions published in 1980 in English and held by 31 WorldCat member libraries worldwide
The role Hans Hahn played in the Vienna Circle has not always been sufficiently appreciated. It was important in several ways. In the ftrst place, Hahn belonged to the trio of the original planners of the Circle. As students at the University of Vienna and throughout the fIrst decade of this century, he and his friends, Philipp Frank and Otto Neurath, met more or less regularly to discuss philosophical questions. When Hahn accepted his fIrSt professorial position, at the University of Czernowitz in the north east of the Austrian empire, and the paths of the three friends parted, they decided to continue such informal discussions at some future time  perhaps in a somewhat larger group and with the cooperation of a philosopher from the university. Various events delayed the execution of the project. Drafted into the Austrian army during the first world war" Hahn was wounded on the Italian front. Toward the end of the war he accepted an offer from the University of Bonn extended in recognition of his remarkable 1 mathematical achievements. He remained in Bonn until the spring of 1921 when he returm:d to Vienna and a chair of mathe matics at his alma mater. There, in 1922, the MachBoltzmann professorship for the philosophy of the inductive sciences became vacant by the death of Adolf Stohr; and Hahn saw a chance to realize his and his friends' old plan
7 editions published in 1980 in English and held by 31 WorldCat member libraries worldwide
The role Hans Hahn played in the Vienna Circle has not always been sufficiently appreciated. It was important in several ways. In the ftrst place, Hahn belonged to the trio of the original planners of the Circle. As students at the University of Vienna and throughout the fIrst decade of this century, he and his friends, Philipp Frank and Otto Neurath, met more or less regularly to discuss philosophical questions. When Hahn accepted his fIrSt professorial position, at the University of Czernowitz in the north east of the Austrian empire, and the paths of the three friends parted, they decided to continue such informal discussions at some future time  perhaps in a somewhat larger group and with the cooperation of a philosopher from the university. Various events delayed the execution of the project. Drafted into the Austrian army during the first world war" Hahn was wounded on the Italian front. Toward the end of the war he accepted an offer from the University of Bonn extended in recognition of his remarkable 1 mathematical achievements. He remained in Bonn until the spring of 1921 when he returm:d to Vienna and a chair of mathe matics at his alma mater. There, in 1922, the MachBoltzmann professorship for the philosophy of the inductive sciences became vacant by the death of Adolf Stohr; and Hahn saw a chance to realize his and his friends' old plan
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 29 WorldCat member libraries worldwide
5 editions published between 1952 and 1961 in English and held by 29 WorldCat member libraries worldwide
Ergebnisse eines mathematischen Kolloquium(
)
in German and held by 27 WorldCat member libraries worldwide
in German and held by 27 WorldCat member libraries worldwide
more
fewer
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Related Identities
 Becchio, Giandomenica Author
 Blumenthal, Leonard M. (Leonard Mascot) 19011984 Author
 Nöbeling, Georg Editor
 Sklar, A. (Abe) Editor
 McGuinness, Brian Editor
 Golland, Louise 1942 Other Editor
 Schweizer, B. (Berthold) Editor
 Menger, Carl 18401921 Author
 Hahn, Hans 18791934 Author
 Mark, H. F. (Herman Francis) 18951992 Other
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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 Humanities Infinite Interplanetary voyages Intuition Lattice theory Logic Logic, Symbolic and mathematical Mathematical analysis Mathematicians Mathematics MathematicsPhilosophy MathematicsStudy and teaching Menger, Karl, Metric spaces Morgenstern, Oskar, Philosophy Philosophy, Austrian PhysicsPhilosophy Schreier, O.(Otto), SciencePhilosophy Set theory Social sciencesPhilosophy Topology Uncertainty United States Vienna circle
Covers
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 Oostenrijks wiskundige (19021985)
Karl Menger Rakouský matematik
Menger Carlos 19021985
Menger, K.
Menger, Karl, 1902
Карл Менгер австриски математичар
Карл Менгер математик
מנגר, קארל 19021985
מנגר, קרל 19021985
קרל מנגר
קרל מנגר מתמטיקאי אוסטרי
كارل مينغر
كارل مينغر رياضياتي نمساوي
کارل منقر
کارل منگر ریاضیدان و فیلسوف اتریشی
विकिपीडिया:पृष्ठ हटाने हेतु चर्चा/लेख/कार्ल मेंगर
카를 멩거
カール・メンガー
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