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Reminiscences of the Vienna Circle and the Mathematical Colloquium
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 "m...
On the Origin of MONEY
On the Origins of Money is a discussion of the history of money and currency, from its crudest form as cowrie shells, animal pelts, and salt in early societies to the coin and paper money we use today. Rather than focusing on the type or shape of the money, author and economist Carl Menger looks at the reasons behind monetary exchange and why money is so valuable (or where it gets its inherent value). His argument centers on the "saleableness" of the goods or commodities being sold-in other words, the more "saleable" (or valuable or in demand) an item is, the more money it is worth. Hence, money gets its value from the objects it pays for. This short work is an insightful look into the history and value of money for any student or professional economist.
Unexplored Dimensions
Karl Menger (1902-1985) was the mathematician son of the famous economist Carl Menger. When he was professor of geometry at the University of Vienna from 1927 to 1938, he joined the Vienna Circle and founded his Mathematical Colloquium. This title offers the transcription of those parts of Menger's notes.
Calculus
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 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.
Carl Menger (1840-1921)
Part of a series presenting critical appraisals of influential economists from the age of Aristotle to the present. The individuals examined have shaped both the theory and practice of modern economics. Each volume combines classic statements by economists with the most recent research.
Triangular Norms
This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. It includes many graphical illustrations and gives a well-balanced picture of theory and applications. It is for mathematicians, computer scientists, applied computer scientists and engineers.
Exact Thinking in Demented Times
A dazzling group biography of the early twentieth-century thinkers who transformed the way the world thought about math and science Inspired by Albert Einstein's theory of relativity and Bertrand Russell and David Hilbert's pursuit of the fundamental rules of mathematics, some of the most brilliant minds of the generation came together in post-World War I Vienna to present the latest theories in mathematics, science, and philosophy and to build a strong foundation for scientific investigation. Composed of such luminaries as Kurt Gö and Rudolf Carnap, and stimulated by the works of Ludwig Wittgenstein and Karl Popper, the Vienna Circle left an indelible mark on science. Exact Thinking in Demented Times tells the often outrageous, sometimes tragic, and never boring stories of the men who transformed scientific thought. A revealing work of history, this landmark book pays tribute to those who dared to reinvent knowledge from the ground up.
Selecta Mathematica
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