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Modern algebra and the rise of mathematical structures
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ISBN: 3764353112 9783764353117 Year: 1996 Volume: 17 Publisher: Basel Birkhäuser

David Hilbert and the axiomatization of physics (1898-1918) : from Grundlagen der Geometrie to Grundlagen der Physik.
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ISBN: 140202777X 9048167191 1402027788 Year: 2004 Publisher: Dordrecht Springer

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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 Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential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.


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A brief history of numbers
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ISBN: 0191007064 9780191007064 9780198702597 0198702590 9780191007071 0191007072 Year: 2015 Publisher: Oxford, United Kingdom

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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


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Distributivity-like results in the Medieval traditions of Euclid's elements : between geometry and arithmetic
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ISBN: 3030796795 3030796787 Year: 2021 Publisher: Cham, Switzerland : Springer,

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British Versions of Book II of Euclid’s Elements: Geometry, Arithmetic, Algebra (1550–1750)
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ISBN: 3031115384 3031115376 Year: 2022 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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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.

Modern algebra and the rise of mathematical structures
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ISBN: 9783764370022 3764370025 Year: 2004 Publisher: Basel: Birkhäuser,

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WEIZAC: An Israeli Pioneering Adventure in Electronic Computing (1945–1963)
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ISBN: 3030257347 3030257339 Year: 2019 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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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.


Book
Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963
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ISBN: 3031271246 3031271254 Year: 2023 Publisher: Cham Springer International Publishing AG

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Book
Distributivity-like Results in the Medieval Traditions of Euclid's Elements
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ISBN: 9783030796792 9783030796808 9783030796785 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Springer

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Book
British Versions of Book II of Euclid's Elements: Geometry, Arithmetic, Algebra (1550-1750)
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ISBN: 9783031115387 9783031115370 9783031115394 Year: 2022 Publisher: Cham Springer International Publishing :Imprint: Springer

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