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Categories (Mathematics) --- Algebra --- History --- -Categories (Mathematics) --- #WWIS:didaktiek --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Mathematics --- Mathematical analysis --- Algebra - History
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David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.
Mathematicians --- Mathématiciens --- Axioma's. --- Mathematische fysica. --- Hilbert, David, --- Gilʹbert, D., --- Hilbert, D. --- 希爾伯特, --- Physics. --- Mathematics. --- History. --- Philosophy and science. --- History and Philosophical Foundations of Physics. --- History of Mathematical Sciences. --- Mathematical Methods in Physics. --- Philosophy of Science. --- Science and philosophy --- Science --- Annals --- Auxiliary sciences of history --- Math --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics
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The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the
Mathematics --- Mathematics. --- Number theory. --- Number systems. --- Number study --- Numbers, Theory of --- Algebra --- Math --- Science --- History. --- Number theory --- 511 <09> --- 511 <09> Number theory--Geschiedenis van ... --- Number theory--Geschiedenis van ... --- History
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This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebraic symbolism and methods, especially as recently introduced by François Viète and his followers, took center stage as mediators between the two realms, and thus offered new avenues to work out that relationship in idiosyncratic ways not found in earlier editions of the Euclidean text. Texts examined include Robert Recorde's Pathway to Knowledge (1551), Henry Billingsley’s first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrow’s versions of the Elements (1660), and John Wallis Treatise of Algebra (1685), and the English translations of Claude Dechales’ French Euclidean Elements (1685). This book offers a completely new perspective of the topic and analyzes mostly unexplored material. It will be of interest to historians of mathematics, mathematicians with an interest in history and historians of renaissance science in general.
Euclid's Elements. --- Mathematical literature. --- Mathematics --- Geometry, Plane --- Geometry --- Science --- Logic. --- Algebraic geometry. --- Computer arithmetic and logic units. --- Historiography. --- History --- History of Science. --- Algebraic Geometry. --- Arithmetic and Logic Structures. --- Historiography and Method. --- History. --- Methodology. --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Reasoning --- Thought and thinking --- Historical criticism --- Authorship --- Arithmetic and logic units, Computer --- Computer arithmetic --- Electronic digital computers --- Algebraic geometry --- Methodology --- Criticism --- Historiography --- Circuits --- Geometry, Algebraic.
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The book tells the unique story of WEIZAC, an early computer built by a “new nation” in the early 1950s. It was created in Israel, even though the feasibility of this project was actually close to null when it was initially conceived, in 1946, and, unlike most of the early computer projects, was privately financed mainly by the Jewish world community. The book draws on a wealth of documents and historical insights to reveal the processes and powers that led to the successful completion of the project and, as well as its actual impact on scientific activities in Israel, and on the rise of a local computing community. Based on archival data, the book shows how a synergy of personal dedication together with an organizational and national mission that links the Zionist vision with science and technology for the Jewish people helped to achieve a well-defined goal. The book offers intriguing insights and refreshing perspectives to all readers interested in the Zionist movement or in the history of computing.
Electronic data processing --- History. --- Computer science. --- Middle East-History. --- Technology-History. --- Culture. --- Technology. --- Management. --- History of Computing. --- History of the Middle East. --- History of Technology. --- Culture and Technology. --- Innovation/Technology Management. --- Administration --- Industrial relations --- Organization --- Cultural sociology --- Culture --- Sociology of culture --- Civilization --- Popular culture --- Applied science --- Arts, Useful --- Science, Applied --- Useful arts --- Science --- Industrial arts --- Material culture --- Informatics --- Social aspects --- Technology --- Middle East --- Computers. --- Middle East—History. --- Technology—History. --- Industrial management. --- Business administration --- Business enterprises --- Business management --- Corporate management --- Corporations --- Industrial administration --- Management, Industrial --- Rationalization of industry --- Scientific management --- Management --- Business --- Industrial organization --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace
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This book provides a fresh view on an important and largely overlooked aspect of the Euclidean traditions in the medieval mathematical texts, particularly concerning the interrelations between geometry and arithmetic, and the rise of algebraic modes of thought. It appeals to anyone interested in the history of mathematics in general and in history of medieval and early modern science.
Pure sciences. Natural sciences (general) --- Mathematics --- History --- wetenschapsgeschiedenis --- geschiedenis --- wiskunde
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This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebraic symbolism and methods, especially as recently introduced by François Viète and his followers, took center stage as mediators between the two realms, and thus offered new avenues to work out that relationship in idiosyncratic ways not found in earlier editions of the Euclidean text. Texts examined include Robert Recorde's Pathway to Knowledge (1551), Henry Billingsley's first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrow's versions of the Elements (1660), and John Wallis Treatise of Algebra (1685), and the English translations of Claude Dechales' French Euclidean Elements (1685). This book offers a completely new perspective of the topic and analyzes mostly unexplored material. It will be of interest to historians of mathematics, mathematicians with an interest in history and historians of renaissance science in general.
Mathematical logic --- Logic --- Pure sciences. Natural sciences (general) --- Geometry --- Mathematics --- History as a science --- wetenschapsgeschiedenis --- historiografie --- landmeetkunde --- logica
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