Hermann Weyl S Raum Zeit Materie And A General Introduction To His Scientific Work
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Hermann Weyl S Raum Zeit Materie And A General Introduction To His Scientific Work
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Author : Erhard Scholz
language : de
Publisher: Birkhäuser
Release Date : 2012-12-06
Hermann Weyl S Raum Zeit Materie And A General Introduction To His Scientific Work written by Erhard Scholz and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Historical interest and studies of Weyl's role in the interplay between 20th-century mathematics, physics and philosophy have been increasing since the middle 1980s, triggered by different activities at the occasion of the centenary of his birth in 1985, and are far from being exhausted. The present book takes Weyl's "Raum - Zeit - Materie" (Space - Time - Matter) as center of concentration and starting field for a broader look at his work. The contributions in the first part of this volume discuss Weyl's deep involvement in relativity, cosmology and matter theories between the classical unified field theories and quantum physics from the perspective of a creative mind struggling against theories of nature restricted by the view of classical determinism. In the second part of this volume, a broad and detailed introduction is given to Weyl's work in the mathematical sciences in general and in philosophy. It covers the whole range of Weyl's mathematical and physical interests: real analysis, complex function theory and Riemann surfaces, elementary ergodic theory, foundations of mathematics, differential geometry, general relativity, Lie groups, quantum mechanics, and number theory.
Hermann Weyl S Raum Zeit Materie And A General Introduction To His Scientific Work
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Author : Hermann Weyl
language : en
Publisher:
Release Date : 2001
Hermann Weyl S Raum Zeit Materie And A General Introduction To His Scientific Work written by Hermann Weyl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematical physics categories.
Space Time Matter
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Author : Hermann Weyl
language : en
Publisher: Courier Corporation
Release Date : 2013-04-26
Space Time Matter written by Hermann Weyl and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-26 with Science categories.
Excellent introduction probes deeply into Euclidean space, Riemann's space, Einstein's general relativity, gravitational waves and energy, and laws of conservation. "A classic of physics." — British Journal for Philosophy and Science.
Symmetries In Physics
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Author : Katherine Brading
language : en
Publisher: Cambridge University Press
Release Date : 2003-12-04
Symmetries In Physics written by Katherine Brading and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-04 with Science categories.
This book brings together philosophical discussions of symmetry in physics, highlighting the main issues and controversies. It covers all the fundamental symmetries of modern physics, as well as discussing symmetry-breaking and general interpretational issues. For each topic, classic texts are followed by review articles and short commentaries.
Weyl And The Problem Of Space
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Author : Julien Bernard
language : en
Publisher: Springer Nature
Release Date : 2019-10-09
Weyl And The Problem Of Space written by Julien Bernard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-09 with Science categories.
This book investigates Hermann Weyl’s work on the problem of space from the early 1920s onwards. It presents new material and opens the philosophical problem of space anew, crossing the disciplines of mathematics, history of science and philosophy. With a Kantian starting point Weyl asks: among all the infinitely many conceivable metrical spaces, which one applies to the physical world? In agreement with general relativity, Weyl acknowledges that the metric can quantitatively vary with the physical situation. Despite this freedom, Weyl “deduces”, with group-theoretical technicalities, that there is only one “kind” of legitimate metric. This construction was then decisive for the development of gauge theories. Nevertheless, the question of the foundations of the metric of physical theories is only a piece of a wider epistemological problem. Contributing authors mark out the double trajectory that goes through Weyl’s texts, from natural science to philosophy and conversely, always through the mediation of mathematics. Readers may trace the philosophical tradition to which Weyl refers and by which he is inspired (Kant, Husserl, Fichte, Leibniz, Becker etc.), and explore the mathematical tradition (Riemann, Helmholtz, Lie, Klein) that permitted Weyl to elaborate and solve his mathematical problem of space. Furthermore, this volume analyzes the role of the interlocutors with whom Weyl discussed the nature of physical space (Einstein, Cartan, De Sitter, Schrödinger, Eddington). This volume features the work of top specialists and will appeal to postgraduates and scholars in philosophy, the history of science, mathematics, or physics.
Thinking About Space And Time
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Author : Claus Beisbart
language : en
Publisher: Springer Nature
Release Date : 2020-09-25
Thinking About Space And Time written by Claus Beisbart and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-25 with Mathematics categories.
This volume offers an integrated understanding of how the theory of general relativity gained momentum after Einstein had formulated it in 1915. Chapters focus on the early reception of the theory in physics and philosophy and on the systematic questions that emerged shortly after Einstein's momentous discovery. They are written by physicists, historians of science, and philosophers, and were originally presented at the conference titled Thinking About Space and Time: 100 Years of Applying and Interpreting General Relativity, held at the University of Bern from September 12-14, 2017. By establishing the historical context first, and then moving into more philosophical chapters, this volume will provide readers with a more complete understanding of early applications of general relativity (e.g., to cosmology) and of related philosophical issues. Because the chapters are often cross-disciplinary, they cover a wide variety of topics related to the general theory of relativity. These include: Heuristics used in the discovery of general relativity Mach's Principle The structure of Einstein's theory Cosmology and the Einstein world Stability of cosmological models The metaphysical nature of spacetime The relationship between spacetime and dynamics The Geodesic Principle Symmetries Thinking About Space and Time will be a valuable resource for historians of science and philosophers who seek a deeper knowledge of the (early and later) uses of general relativity, as well as for physicists and mathematicians interested in exploring the wider historical and philosophical context of Einstein's theory.
The Concept Of A Riemann Surface
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Author : Hermann Weyl
language : en
Publisher: Courier Corporation
Release Date : 2013-12-31
The Concept Of A Riemann Surface written by Hermann Weyl and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-31 with Mathematics categories.
This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition.
A Delicate Balance Global Perspectives On Innovation And Tradition In The History Of Mathematics
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Author : David E. Rowe
language : en
Publisher: Birkhäuser
Release Date : 2015-05-12
A Delicate Balance Global Perspectives On Innovation And Tradition In The History Of Mathematics written by David E. Rowe and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-12 with Mathematics categories.
Joseph W. Dauben, a leading authority on the history of mathematics in Europe, China, and North America, has played a pivotal role in promoting international scholarship over the last forty years. This Festschrift volume, showcasing recent historical research by leading experts on three continents, offers a global perspective on important themes in this field.
The Young Carnap S Unknown Master
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Author : Professor Guillermo E Rosado Haddock
language : en
Publisher: Ashgate Publishing, Ltd.
Release Date : 2012-10-01
The Young Carnap S Unknown Master written by Professor Guillermo E Rosado Haddock and has been published by Ashgate Publishing, Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-01 with Philosophy categories.
Examining the scholarly interest of the last two decades in the origins of logical empiricism, and especially the roots of Rudolf Carnap’s Der logische Aufbau der Welt (The Logical Structure of the World), Rosado Haddock challenges the received view, according to which that book should be inserted in the empiricist tradition. In The Young Carnap's Unknown Master Rosado Haddock, builds on the interpretations of Aufbau propounded by Verena Mayer and of Carnap's earlier thesis Der Raum propounded by Sahotra Sarkar and offers instead the most detailed and complete argument on behalf of an Husserlian interpretation of both of these early works of Carnap, as well as offering a refutation of the rival Machian, Kantian, Neo-Kantian, and other more eclectic interpretations of the influences on the work of the young Carnap. The book concludes with an assessment of Quine's critique of Carnap's 'analytic-synthetic' distinction and a criticism of the direction that analytic philosophy has taken in following in the footsteps of Quine's views.
Mathematical Implications Of Einstein Weyl Causality
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Author : Hans Jürgen Borchers
language : en
Publisher: Springer
Release Date : 2007-02-22
Mathematical Implications Of Einstein Weyl Causality written by Hans Jürgen Borchers and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-22 with Science categories.
Here is a systematic approach to such fundamental questions as: What mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The author proposes an axiomatization of the physics inspired notion of Einstein-Weyl causality and investigating the consequences in terms of possible topological spaces. One significant result is that the notion of causality can effectively be extended to discontinuum.