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The book stresses particularly Noll's method of axiomatization of physical theories, his axiomatics of continuum mechanics, thermodynamics of materials, special relativity theory, his discovery of the neo-classical space-time of mechanics, his theories of inhomogeneities in simple bodies, fit regions, contact interactions, annihilators of linear differential operators, and finite-dimensional spaces.
Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts. Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow re...
"This is the first full-scale biography of Leonhard Euler (1707-83), one of the greatest mathematicians and theoretical physicists of all time. In this comprehensive and authoritative account, Ronald Calinger connects the story of Euler's eventful life to the astonishing achievements that place him in the company of Archimedes, Newton, and Gauss. Drawing chiefly on Euler's massive published works and correspondence, which fill more than eighty volumes so far, this biography sets Euler's work in its multilayered context--personal, intellectual, institutional, political, cultural, religious, and social. It is a story of nearly incessant accomplishment, from Euler's fundamental contributions to...
"Mark Wilson presents a highly original and broad-ranging investigation of the way we get to grips with the world conceptually, and the way that philosophical problems commonly arise from this. He combines traditional philosophical concerns about human conceptual thinking with illuminating data derived from a large variety of fields including physics and applied mathematics, cognitive psychology, and linguistics. Wandering Significance offers abundant new insights and perspectives for philosophers of language, mind, and science, and will also reward the interest of psychologists, linguists, and anyone curious about the mysterious ways in which useful language obtains its practical applicability."--Publisher's description.
The proceedings of DCC 93, held in Snowbird, Utah, March-April 1993. Forty-four papers and 63 posters address topics that include: globally optimal bit allocation, codes with monotonic codeword lengths, approximate string matching, optimum DCT quantization, generalized fractal transforms complexity
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Die bewährte Dokumentation der zeitgenössischen deutschsprachigen Literaturszene umfasst über 9.000 Einträge lebender Verfasserinnen und Verfasser schöngeistiger Literatur in deutscher Sprache: Adressen, Lebensdaten, Mitgliedschaften, Auszeichnungen sowie 140.000 Veröffentlichungen; im Anhang u. a.: Übersetzer, Verlage, Literaturpreise, Fachverbände, Literaturhäuser, Zeitschriften, Agenturen; Festkalender, Nekrolog, geographische Übersicht.
Die axiomatisierte Darstellung einer mathematischen Theorie gilt traditionell als ein Ideal der Wissenschaftlichkeit. Euklids 'Elemente' und Newtons 'Mathematische Prinzipien der Naturphilosophie' werden oft als epochale Werke der Axiomatik genannt. Von vorerst unbewiesenen Prinzipien oder Axiomen, die in materieller wie auch formaler Hinsicht tragende Säulen des jeweiligen Wissensgebäudes bilden, werden weitere Gesetze und Theoreme über logische Beziehungen und sachbezogene Zusatzannahmen gefolgert. Man gewinnt den Eindruck, die ganze Theorie im Blick zu haben, ohne dabei das einzelne Phänomen zu verlieren. Heute hat die axiomatisierte Darstellung einer wissenschaftlichen Theorie allerd...