Huygens' Principle and Hyperbolic Equations
Gunther Paul
Jul 2014 · Perspectives in Mathematics Kitabu cha 2 · Academic Press
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Huygens' Principle and Hyperbolic Equations is devoted to certain mathematical aspects of wave propagation in curved space-times. The book aims to present special nontrivial Huygens' operators and to describe their individual properties and to characterize these examples of Huygens' operators within certain more or less comprehensive classes of general hyperbolic operators. The materials covered in the book include a treatment of the wave equation for p-forms over a space of constant sectional curvature, the Riesz distributions, the Euler-Poisson-Darboux-equations over a Riemannian manifold, and plane wave manifolds. Physicists will find the book invaluable.
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Gunther Paul is an Ergonomist and James Cook University Principal Research Fellow for Occupational Health and Safety at the Australian Institute for Tropical Health and Medicine (AITHM), and the Mackay Institute for Research and Innovation (MIRI). He holds a PhD in Ergonomics and MPhil in Control Engineering from Darmstadt University of Technology. His research focuses on complex work system related issues, such as health systems, respiratory health, human-in-the-loop modelling, or musculoskeletal disorders. Gunther has been the Chief Investigator in 17 research projects. He is the Editor-In-Chief of the International Journal of Human Factors Modelling and Simulation, and a reviewer for over 20 international journals. He chairs the International Ergonomics Association Technical Committee on Human Simulation and Virtual Environments, and is a Member of the Queensland Government Safety Leadership at Work Expert Reference Group, Member of the Commonwealth Department of Employment Research and Evaluation Services Panel, and Member of the Panel of Assessors, Queensland Civil and Administrative Tribunal (QCAT). Gunther is also the Ambassador of the Foundation for Professional Ergonomics in Australia. He has published over 100 journal articles, books and book chapters, and has been regularly presenting and chairing sessions at International conferences over the last 25 years. In his most recent previous employments, Gunther led the Health Safety Environment Discipline in the School of Public Health and Social Work at QUT, and before that he was Director of Ergolab at UniSA. In his 10 year industrial career, he worked as Project Manager for Ford, Daimler, and Faurecia.
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