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Singularities in Physics and Engineering

Singularities in Physics and Engineering
Author: Paramasivam Senthilkumaran
Publisher:
Total Pages: 0
Release: 2018
Genre: Engineering
ISBN: 9780750316989

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"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" -- Prové de l'editor.


Singularities in Physics and Engineering

Singularities in Physics and Engineering
Author: Paramasivam Senthilkumaran
Publisher:
Total Pages:
Release: 2018
Genre: SCIENCE
ISBN: 9780750316972

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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 Physics Engineering Secohb

Singularities Physics Engineering Secohb
Author: SENTHILKUMARAN
Publisher: IOP Publishing Limited
Total Pages: 0
Release: 2024-01-25
Genre: Mathematics
ISBN: 9780750349802

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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

Singularities in Physics and Engineering: Properties, Methods, and Applications
Author: Paramasivam Senthilkumaran
Publisher: Institute of Physics Publishing
Total Pages: 250
Release: 2019-11-08
Genre: Science
ISBN: 9780750317887

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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

Singularities: Formation, Structure and Propagation
Author: J. Eggers
Publisher: Cambridge University Press
Total Pages: 471
Release: 2015-09-10
Genre: Mathematics
ISBN: 1107098416

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This book explores a wide range of singular phenomena, providing mathematical tools for understanding them and highlighting their common features.


Singularities: Formation, Structure, and Propagation

Singularities: Formation, Structure, and Propagation
Author: J. Eggers
Publisher: Cambridge University Press
Total Pages: 471
Release: 2015-09-10
Genre: Mathematics
ISBN: 1316352390

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Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.


Singularity Theory and its Applications

Singularity Theory and its Applications
Author: Mark Roberts
Publisher: Springer
Total Pages: 329
Release: 2006-11-14
Genre: Mathematics
ISBN: 3540470476

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A workshop on Singularities, Bifuraction and Dynamics was held at Warwick in July 1989, as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory and applications in the sciences. The papers are original research, stimulated by the symposium and workshop: All have been refereed and none will appear elsewhere. The main topic of volume II is new methods for the study of bifurcations in nonlinear dynamical systems, and applications of these.


The Singularity Is Near

The Singularity Is Near
Author: Ray Kurzweil
Publisher: Penguin
Total Pages: 992
Release: 2005-09-22
Genre: Social Science
ISBN: 1101218886

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NEW YORK TIMES BESTSELLER • Celebrated futurist Ray Kurzweil, hailed by Bill Gates as “the best person I know at predicting the future of artificial intelligence,” presents an “elaborate, smart, and persuasive” (The Boston Globe) view of the future course of human development. “Artfully envisions a breathtakingly better world.”—Los Angeles Times “Startling in scope and bravado.”—Janet Maslin, The New York Times “An important book.”—The Philadelphia Inquirer At the onset of the twenty-first century, humanity stands on the verge of the most transforming and thrilling period in its history. It will be an era in which the very nature of what it means to be human will be both enriched and challenged as our species breaks the shackles of its genetic legacy and achieves inconceivable heights of intelligence, material progress, and longevity. While the social and philosophical ramifications of these changes will be profound, and the threats they pose considerable, The Singularity Is Near presents a radical and optimistic view of the coming age that is both a dramatic culmination of centuries of technological ingenuity and a genuinely inspiring vision of our ultimate destiny.


The Analysis of Space-Time Singularities

The Analysis of Space-Time Singularities
Author: C. J. S. Clarke
Publisher: Cambridge University Press
Total Pages: 196
Release: 1993
Genre: Science
ISBN: 9780521437967

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The different possible singularities are defined and the mathematical methods needed to extend the space-time are described in detail in this book. Results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor.


Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities

Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities
Author: Zi Cai Li
Publisher: Springer Science & Business Media
Total Pages: 488
Release: 2013-12-01
Genre: Mathematics
ISBN: 1461333385

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In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid. Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students.