Quaternions: A History of Complex Noncommutative Rotation Groups in Theoretical Physics [PDF]
, 2015 The purpose of this dissertation is to clarify the emergence of quaternions in order to make the history of quaternions less opaque to teachers and students in mathematics and physics.
Familton, Johannes C.
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Conceptual Modelling, Combinatorial Heuristics and Ars Inveniendi: An Epistemological History [PDF]
, 2022 (1) An introduction to the principles of conceptual modelling, combinatorial heuristics and epistemological history; (2) the examination of a number of perennial epistemological-methodological schemata: conceptual spaces and blending theory; ars ...
Ritchey, Tom
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Are University Budget Cuts Becoming A Threat to Mathematics? with Additional Discussion
Mathematics as an area of study occupies an important place in higher education. Due in part to its utility in other disciplines as well as its role in student learning, institutions of higher education (IHEs) often have large numbers of mathematics ...
Fuller, Edgar J.
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Independence of the Continuum Hypothesis: an Intuitive Introduction
, 2022 The independence of the continuum hypothesis is a result of broad impact: it settles a basic question regarding the nature of N and R, two of the most familiar mathematical structures; it introduces the method of forcing that has become the main ...
Batzoglou, Serafim
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Quantum Fate of Singularities in Anisotropic Cosmological Models [PDF]
, 2020 This thesis studies the possibility of the quantum avoidance of gravitational singularities in anisotropic cosmological models. For that purpose, we review the fundamentals of spatially homogeneous cosmological models and quantum cosmology based on ...
Kwidzinski, Nick
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Mathematics meets physics: A contribution to their interaction in the 19th and the first half of the 20th century [PDF]
, 2017 Es gibt wohl kaum Wissenschaftsgebiete, in denen die wechselseitige Beeinflussung stärker ist als zwischen Mathematik und Physik. Eine wichtige Frage ist dabei die nach der konkreten Ausgestaltung dieser Wechselbeziehungen, etwa an einer Universität ...
Schlote, Karl-Heinz, Schneider, Martina
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A Panorama Of Physical Mathematics c. 2022
, 2022 What follows is a broad-brush overview of the recent synergistic interactions between mathematics and theoretical physics of quantum field theory and string theory.
Bah, Ibrahima +5 more
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From Asymptotic Symmetries to the Corner Proposal
, 2022 These notes are a transcript of lectures gave by the author in the XVIII Modave summer school in mathematical physics. The introduction is devoted to a detailed review of the literature on asymptotic symmetries, flat holography, and the corner proposal ...
Ciambelli, Luca
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An historical overview of the influence of technology on mathematical competitions
We provide an historical overview of how advances in technology influenced high school and university mathematical competitions in the United States and at the International Mathematical Olympiad. While students are not allowed the usage of technological
Bajnok, Bela
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Teisenemiseeskirjad ja invariandid skalaar-tensortüüpi gravitatsiooniteooriates [PDF]
, 2019 Einsteini üldrelatiivsusteooria, tänane gravitatsiooni standardteooria on tensorteooria. Keskseks objektiks selles on meetriline tensor ehk sisuliselt juhend lõikude pikkuste ja nendevaheliste nurkade arvutamiseks.
Vilson, Ott
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