{"title":"Karl Menger","description":null,"products":[{"product_id":"calculus-book-karl-menger-9780486457710","title":"Calculus","description":"One of the 20th century's most original mathematicians, Menger taught students of many backgrounds. His radical revision of the traditional text presents pure and applied calculus in a clarified conceptual frame, offering a thorough understanding of theory as well as the ability to use calculus as a tool. 1955 edition.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49572898275601,"sku":"GOR008044219","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50177918501137,"sku":"CIN0486457710VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50191035334929,"sku":"CIN0486457710G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486457710.jpg?v=1750910682"},{"product_id":"three-lectures-on-mathematical-subjects-book-karl-menger-9781258667245","title":"Three Lectures on Mathematical Subjects","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51212141854993,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51212142510353,"sku":"NIN9781258667245","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/125866724X.jpg?v=1751303755"},{"product_id":"goldagio-book-karl-menger-9781160363266","title":"Das Goldagio","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51655149519121,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51655149682961,"sku":"NIN9781160363266","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1160363269.jpg?v=1750823204"},{"product_id":"algebra-of-analysis-book-karl-menger-9781258645175","title":"Algebra of Analysis","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51664022995217,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51664023224593,"sku":"NIN9781258645175","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1258645173.jpg?v=1750889304"},{"product_id":"selected-papers-in-logic-and-foundations-didactics-economics-book-karl-menger-9789027703200","title":"Selected Papers in Logic and Foundations, Didactics, Economics","description":"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.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52124919464209,"sku":"NLS9789027703200","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789027703200.jpg?v=1757460400"},{"product_id":"morality-decision-and-social-organization-book-karl-menger-9789027703187","title":"Morality, Decision and Social Organization","description":null,"brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52126581063953,"sku":"NLS9789027703187","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789027703187.jpg?v=1757477199"},{"product_id":"morality-decision-and-social-organization-book-karl-menger-9789027703194","title":"Morality, Decision and Social Organization","description":null,"brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52141858095377,"sku":"NLS9789027703194","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789027703194.jpg?v=1757578394"},{"product_id":"selecta-mathematica-i-book-karl-menger-9783709148624","title":"Selecta Mathematica I","description":"Karl Menger, one of the founders of dimension theory, is among 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, in the United States, Karl Menger made significant contributions to a wide variety of mathematical fields, and greatly influenced many of his colleagues. These two volumes contain Menger's major mathematical papers, based on his own selection from his extensive writings. They deal with topics as diverse as topology, geometry, analysis and algebra, and also include material on economics, sociology, logic and philosophy. The Selecta Mathematica is a monument to the diversity and originality of Menger's ideas.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52144114204945,"sku":"NLS9783709148624","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783709148624.jpg?v=1757587476"},{"product_id":"reminiscences-of-the-vienna-circle-and-the-mathematical-colloquium-book-karl-menger-9780792328735","title":"Reminiscences of the Vienna Circle and the Mathematical Colloquium","description":"Karl Menger was born in Vienna on January 13, 1902, the only child of two gifted parents. His mother Hermione, nee Andermann (1870-1922), in addition to her musical abilities, wrote and published short stories and novelettes, while his father Carl (1840-1921) was the noted Austrian economist, one of the founders of marginal utility theory. A highly cultured man, and a liberal rationalist in the nine- teenth century sense, the elder Menger had witnessed the defeat and humiliation of the old Austrian empire by Bismarck's Prussia, and the subsequent establishment under Prussian leadership of a militaristic, mystically nationalistic, state-capitalist German empire - in effect, the first modern military-industrial complex.  These events helped frame in him a set of attitudes that he later transmitted to his son, and which included an appreciation of cultural attainments and tolerance and respect for cultural differences, com- bined with a deep suspicion of rabid nationalism, particularly the German variety. Also a fascination with structure, whether artistic, scientific, philosophical, or theological, but a rejection of any aura of mysticism or mumbo-jumbo accompanying such structure. Thus the son remarked at least once that the archangels' chant that begins the Prolog im Himmel in Goethe's Faust was perhaps the most viii INTRODUCTION beautiful thing in the German language but of course it doesn't mean anything.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52336457253137,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52336457842961,"sku":"NLS9780792328735","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792328735.jpg?v=1758163390"},{"product_id":"reminiscences-of-the-vienna-circle-and-the-mathematical-colloquium-book-karl-menger-9780792327110","title":"Reminiscences of the Vienna Circle and the Mathematical Colloquium","description":"Karl Menger was born in Vienna on January 13, 1902, the only child of two gifted parents. His mother Hermione, nee Andermann (1870-1922), in addition to her musical abilities, wrote and published short stories and novelettes, while his father Carl (1840-1921) was the noted Austrian economist, one of the founders of marginal utility theory. A highly cultured man, and a liberal rationalist in the nine- teenth century sense, the elder Menger had witnessed the defeat and humiliation of the old Austrian empire by Bismarck's Prussia, and the subsequent establishment under Prussian leadership of a militaristic, mystically nationalistic, state-capitalist German empire - in effect, the first modern military-industrial complex.  These events helped frame in him a set of attitudes that he later transmitted to his son, and which included an appreciation of cultural attainments and tolerance and respect for cultural differences, com- bined with a deep suspicion of rabid nationalism, particularly the German variety. Also a fascination with structure, whether artistic, scientific, philosophical, or theological, but a rejection of any aura of mysticism or mumbo-jumbo accompanying such structure. Thus the son remarked at least once that the archangels' chant that begins the Prolog im Himmel in Goethe's Faust was perhaps the most viii INTRODUCTION beautiful thing in the German language but of course it doesn't mean anything.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52337469260049,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52337469817105,"sku":"NLS9780792327110","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792327110.jpg?v=1758166748"},{"product_id":"selecta-mathematica-ii-book-karl-menger-9783211838341","title":"Selecta Mathematica II","description":"Karl Menger, one of the founders of dimension theory, is among 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, in the United States, Karl Menger made significant contributions to a wide variety of mathematical fields, and greatly influenced many of his colleagues. These two volumes contain Menger's major mathematical papers, based on his own selection from his extensive writings. They deal with topics as diverse as topology, geometry, analysis and algebra, and also include material on economics, sociology, logic and philosophy. The Selecta Mathematica is a monument to the diversity and originality of Menger's ideas.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52345991561489,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52345992151313,"sku":"NLS9783211838341","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783211838341.jpg?v=1758176122"},{"product_id":"selecta-mathematica-book-karl-menger-9783211837344","title":"Selecta Mathematica","description":"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.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52409567052049,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52409567641873,"sku":"NLS9783211837344","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783211837344.jpg?v=1758775185"},{"product_id":"selected-papers-in-logic-and-foundations-didactics-economics-book-karl-menger-9789027703217","title":"Selected Papers in Logic and Foundations, Didactics, Economics","description":"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.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52410370064657,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52410370523409,"sku":"NLS9789027703217","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789027703217.jpg?v=1758777842"},{"product_id":"selecta-mathematica-ii-book-karl-menger-9783709148631","title":"Selecta Mathematica II","description":"Karl Menger, one of the founders of dimension theory, is among 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, in the United States, Karl Menger made significant contributions to a wide variety of mathematical fields, and greatly influenced many of his colleagues. These two volumes contain Menger's major mathematical papers, based on his own selection from his extensive writings. They deal with topics as diverse as topology, geometry, analysis and algebra, and also include material on economics, sociology, logic and philosophy. 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Eine Strecke, d. h. ein Inter- vall des RlI kann sIs Summe von endlichvielen abgeschlossenen Teilmengen (Teilstrecken) vorgeschriebener Maximallange dargestellt werden, die zu je zweien endliche (also hOchstens nulldimensionale) Durchschnitte und zu je dreien Ie ere Durchschnitte haben. Eine Quadratflache la13t sich in endlich- viele abgeschlossene Teilmengen von vorgeschriebener Kleinheit zerlegen, die zu je zweien h6chstens eindimensionale, zu je dreien h6chstens null- dimensionale, zu je vieren leere Durchschnitte haben. Es ist nun von groBer Wichtigkeit, daB aIle endlichdimensionalen separabeln Raume derartige Zerlegbarkeitseigenschaften b esitz en. Um dieselben bequem formulieren zu k6nnen, bedienen wir uns im folgenden einer abgekiirzten Ausdrucksweise. Wir werden in einem vor- gelegten separabeln Raum R Systeme von endlichvielen Teilmengen mit irgendeiner bestimmten Eigenschaft zu betrachten haben, z. B. Systeme von endlichvielen ofl'enen Mengen, die paarweise fremd sind, oder Systeme von endlichvielen abgeschlossenen Mengen, die zu je dreien hochstens null- dimensionale Durchschnitte haben und deren Summe gleich dem vorgelegten Raum R ist u. dgl. Wenn nun zu jedem vorgelegten endlichen Uberdeckungs- system des Raumes R, d. h. zu jedem vorgelegten System von endlichvielen ofl'enen Mengen U Ui. I . . .","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52454619742481,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52454620266769,"sku":"NLS9783663154846","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783663154846.jpg?v=1759371719"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-karl-menger.oembed","provider":"World of Books ","version":"1.0","type":"link"}