Singularities In Physics And Engineering
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Singularities In Physics And Engineering
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Author : Paramasivam Senthilkumaran
language : en
Publisher: Programme: Iop Expanding Physi
Release Date : 2019-11-08
Singularities In Physics And Engineering written by Paramasivam Senthilkumaran and has been published by Programme: Iop Expanding Physi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-08 with Science categories.
Singularities are pervasive throughout nature and this book is one of the first to combine all aspects of singular optics and to give a detailed view of the subject. Singularities in Optical Physics and Engineering give a thorough introduction to singularities and their development and goes on to explain in detail important topics such as the types of singularities, their properties, detection and application and the emerging research trends that are still developing. The book concentrates mostly on phase singularities in a comprehensive development to allow a greater understanding of singularities throughout the chapters. It also discusses polarization singularities in its final chapter giving an in-depth description of this subject. With new advances being generated continuously, this book will cover a vibrant field of optics and will give an essential foundation to any students and researchers interested in singular optics. Part of IOP Series in Advances in Optics, Photonics and Optoelectronics
Singularities In Physics And Engineering
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Author : Paramasivam Senthilkumaran
language : en
Publisher:
Release Date : 2018
Singularities In Physics And Engineering written by Paramasivam Senthilkumaran and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with SCIENCE categories.
Singularities are pervasive throughout nature and this book is one of the first to combine all aspects of singular optics and to give a detailed view of the subject. Singularities in Optical Physics and Engineering give a thorough introduction to singularities and their development and goes on to explain in detail important topics such as the types of singularities, their properties, detection and application and the emerging research trends that are still developing. The book concentrates mostly on phase singularities in a comprehensive development to allow a greater understanding of singularities throughout the chapters. It also discusses polarization singularities in its final chapter giving an in-depth description of this subject. With new advances being generated continuously, this book will cover a vibrant field of optics and will give an essential foundation to any students and researchers interested in singular optics. Part of IOP Series in Advances in Optics, Photonics and Optoelectronics
Singularities In Physics And Engineering Second Edition
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Author : Paramasivam Senthilkumaran
language : en
Publisher: Institute of Physics Publishing
Release Date : 2024-01-25
Singularities In Physics And Engineering Second Edition written by Paramasivam Senthilkumaran and has been published by Institute of Physics Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-25 with Science categories.
The book gives a thorough introduction to singularities and their development. It explains in detail important topics such as the types of singularities, their properties, detection and application, and emerging research trends.
Singularities Physics Engineering Secohb
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Author : SENTHILKUMARAN
language : en
Publisher: IOP Publishing Limited
Release Date : 2024-01-25
Singularities Physics Engineering Secohb written by SENTHILKUMARAN and has been published by IOP Publishing Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-25 with Mathematics categories.
The book gives a thorough introduction to singularities and their development. It explains in detail important topics such as the types of singularities, their properties, detection and application, and emerging research trends.
Singularities In Physics And Engineering Properties Methods And Applications
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Author : Paramasivam Senthilkumaran
language : en
Publisher: Institute of Physics Publishing
Release Date : 2019-11-08
Singularities In Physics And Engineering Properties Methods And Applications written by Paramasivam Senthilkumaran and has been published by Institute of Physics Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-08 with Science categories.
This book presents singular optics in a gradual and systematic manner and bridges the gap between a seasoned researcher and a student who aims to pursue research in this topic. The book includes illustrations, examples and references that will enable the reader to conceive their own ideas as they discover more about singular optics.
Singularities Formation Structure And Propagation
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Author : J. Eggers
language : en
Publisher: Cambridge University Press
Release Date : 2015-09-10
Singularities Formation Structure And Propagation written by J. Eggers 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 2015-09-10 with Mathematics categories.
This book explores a wide range of singular phenomena, providing mathematical tools for understanding them and highlighting their common features.
Mathematics And The Natural Sciences
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Author : Francis Bailly
language : en
Publisher: World Scientific
Release Date : 2011
Mathematics And The Natural Sciences written by Francis Bailly and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.
The book aims at the identification of the organising concepts of some physical and biological phenomena, by means of an analysis of the foundations of mathematics and of physics. This is done in the perspective of unifying phenomena, of bringing different conceptual universes into dialog. The analysis of the role of “order” and of symmetries in the foundations of mathematics is linked to the main invariants and principles, among which the geodesic principle (a consequence of symmetries), which govern and confer unity to the various physical theories. Moreover, we attempt to understand causal structures, a central element of physical intelligibility, in terms of symmetries and their breakings. The importance of the mathematical tool is also highlighted, enabling us to grasp the differences in the models for physics and biology which are proposed by continuous and discrete mathematics, such as computational simulations. A distinction between principles of (conceptual) construction and principles of proofs, both in physics and in mathematics, guides this part of the work.As for biology, being particularly difficult and not as thoroughly examined at a theoretical level, we propose a “unification by concepts”, an attempt which should always precede mathematisation. This constitutes an outline for unification also basing itself upon the highlighting of conceptual differences, of complex points of passage, of technical irreducibilities of one field to another. Indeed, a monist point of view such as ours should not make us blind: we, the living objects, are surely just big bags of molecules or, at least, this is our main metaphysical assumption. The point though is: which theory can help us to better understand these bags of molecules, as they are, indeed, rather “singular”, from the physical point of view. Technically, this singularity is expressed by the notion of “extended criticality”, a notion that logically extends the pointwise critical transitions in physics.
Gravitational Collapse And Spacetime Singularities
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Author : Pankaj S. Joshi
language : en
Publisher: Cambridge University Press
Release Date : 2007-12-13
Gravitational Collapse And Spacetime Singularities written by Pankaj S. Joshi 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 2007-12-13 with Science categories.
Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics. General relativity predicts that continual gravitational collapse gives rise to a space-time singularity. Quantum gravity may take over in such regimes to resolve the classical space-time singularity. This book, first published in 2007, investigates these issues, and shows how the visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology. It includes a detailed review of research into gravitational collapse, and several examples of collapse models are investigated in detail.
Singularities Of Caustics And Wave Fronts
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Author : Vladimir Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-30
Singularities Of Caustics And Wave Fronts written by Vladimir Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-30 with Mathematics categories.
One service mathematics has rendered the 'Et moi, ... ) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. ErieT. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Lectures On Mechanics
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Author : Jerrold E. Marsden
language : en
Publisher: Cambridge University Press
Release Date : 1992-04-30
Lectures On Mechanics written by Jerrold E. Marsden 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 1992-04-30 with Mathematics categories.
Based on the 1991 LMS Invited Lectures given by Professor Marsden, this book discusses and applies symmetry methods to such areas as bifurcations and chaos in mechanical systems.