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Topics in Physical Geometry

Topics in Physical Geometry
Author: Robert Hermann
Publisher:
Total Pages: 595
Release: 1988
Genre: Engineering mathematics
ISBN: 9780915692408

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Geometric Structures in Nonlinear Physics

Geometric Structures in Nonlinear Physics
Author: Robert Hermann
Publisher: Math Science Press
Total Pages: 363
Release: 1991
Genre: Mathematics
ISBN: 9780915692422

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VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.


Topics in General Relativity

Topics in General Relativity
Author: Robert Hermann
Publisher:
Total Pages: 163
Release: 1976
Genre: General relativity (Physics)
ISBN:

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Experiencing Geometry, Physics, and Biology

Experiencing Geometry, Physics, and Biology
Author: Georg Glaeser
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 248
Release: 2023-11-20
Genre: Mathematics
ISBN: 3111365786

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Understanding geometry, physics, and biology This is a highly informative and richly illustrated nonfiction book that conveys scientific content in a clear and understandable way. Drawing on numerous examples, it explains topics from geometry, physics, and biology and points out commonalities between the disciplines. The book contains approx. 300 links to video animations and is accompanied by a freely accessible interactive software that allows readers to delve even deeper into the content covered in the book. The content, videos, and software were developed by the Department of Geometry at the University of Applied Arts Vienna. Georg Glaeser’s research focuses particularly on interdisciplinary mathematical and biological issues, and he worked for many years with Franz Gruber, who was highly adept at visualizing complex issues. Includes links to around 300 video animations, accessible via QR codes Compact, informative, and easy-to-understand explanations of scientific issues in the disciplines of geometry, physics, and biology With numerous images and illustrations


Integrable Mechanical Systems

Integrable Mechanical Systems
Author: Róbert Hermann
Publisher: Math Science Press
Total Pages: 347
Release: 1984
Genre: Mathematics
ISBN: 9780915692361

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Geometry of the Fundamental Interactions

Geometry of the Fundamental Interactions
Author: M. D. Maia
Publisher: Springer Science & Business Media
Total Pages: 182
Release: 2011-06-14
Genre: Science
ISBN: 1441982736

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The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the gauge field strength as the curvature associated to a given connection, places quantum field theory in the same geometrical footing as the gravitational field of general relativity which is naturally written in geometrical terms. The understanding of such geometrical property may help one day to write a unified field theory starting from symmetry principles. Of course, there are remarkable differences between the standard gauge fields and the gravitational field, which must be understood by mathematicians and physicists before attempting such unification. In particular, it is important to understand why gravitation is not a standard gauge field. This book presents an account of the geometrical properties of gauge field theory, while trying to keep the equilibrium between mathematics and physics. At the end we will introduce a similar approach to the gravitational field.


The Nature of Time: Geometry, Physics and Perception

The Nature of Time: Geometry, Physics and Perception
Author: R. Buccheri
Publisher: Springer Science & Business Media
Total Pages: 441
Release: 2012-12-06
Genre: Science
ISBN: 9401001553

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There are very few concepts that fascinate equally a theoretical physicist studying black holes and a patient undergoing seriolls mental psychosis. Time, undoubtedly, can well be ranked among them. For the measure of time inside a black hole is no less bizarre than the perception of time by a schizophrenic, who may perceive it as completely "suspended," "standing still," or even "reversing its direction. " The nature of time is certainly shrouded in profound mystery. This, perhaps, since the concept entails multifarious, and occasionally incongruous, facets. No wonder the subject attracts the serious attention of scholars on the one hand, and of the lay public on the other. Our Advanced Research Workshop is an excellent il lustration of this point, as the reader will soon discover. It turned out to be a unique professional forum for an unusually lively, effective and fruitful exchange of ideas and beliefs among 48 participants from 20 countries worldwide, selected out of more than a hundred applicants. The present book is based on the select talks presented at the meeting, and aims to provide the interested layperson and specialist alike with a multidisciplinary sampling of the most up-to-date scholarly research on the nature of time. It represents a coherent, state-of-the-art volume showing that research relevant to this topic is necessarily interdisciplinary and does not ignore such delicate issues as "altered" states of consciousness, religion and metaphysics.