Twistor Geometry And Non Linear Systems

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Twistor Geometry And Non Linear Systems
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Author : H.D. Doebner
language : en
Publisher: Springer
Release Date : 2006-11-14
Twistor Geometry And Non Linear Systems written by H.D. Doebner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Science categories.
Twistor Geometry And Non Linear Systems
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Author : H. D. Doebner
language : en
Publisher:
Release Date : 2014-09-01
Twistor Geometry And Non Linear Systems written by H. D. Doebner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Lecture Notes In Mathematics
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Author :
language : en
Publisher:
Release Date :
Lecture Notes In Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Fashion Faith And Fantasy In The New Physics Of The Universe
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Author : Roger Penrose
language : en
Publisher: Princeton University Press
Release Date : 2024-10-22
Fashion Faith And Fantasy In The New Physics Of The Universe written by Roger Penrose and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-22 with Science categories.
Nobel Prize–winning physicist Roger Penrose questions some of the most fashionable ideas in physics today, including string theory What can fashionable ideas, blind faith, or pure fantasy possibly have to do with the scientific quest to understand the universe? Surely, theoretical physicists are immune to mere trends, dogmatic beliefs, or flights of fancy? In fact, acclaimed physicist and bestselling author Roger Penrose argues that researchers working at the extreme frontiers of physics are just as susceptible to these forces as anyone else. In this provocative book, he argues that fashion, faith, and fantasy, while sometimes productive and even essential in physics, may be leading today's researchers astray in three of the field's most important areas—string theory, quantum mechanics, and cosmology. Arguing that string theory has veered away from physical reality by positing six extra hidden dimensions, Penrose cautions that the fashionable nature of a theory can cloud our judgment of its plausibility. In the case of quantum mechanics, its stunning success in explaining the atomic universe has led to an uncritical faith that it must also apply to reasonably massive objects, and Penrose responds by suggesting possible changes in quantum theory. Turning to cosmology, he argues that most of the current fantastical ideas about the origins of the universe cannot be true, but that an even wilder reality may lie behind them. Finally, Penrose describes how fashion, faith, and fantasy have ironically also shaped his own work, from twistor theory, a possible alternative to string theory that is beginning to acquire a fashionable status, to "conformal cyclic cosmology," an idea so fantastic that it could be called "conformal crazy cosmology." The result is an important critique of some of the most significant developments in physics today from one of its most eminent figures.
Bifurcation Theory And Applications
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Author : L. Salvadori
language : en
Publisher: Springer
Release Date : 2006-12-08
Bifurcation Theory And Applications written by L. Salvadori and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
Twistors In Mathematics And Physics
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Author : T. N. Bailey
language : en
Publisher: Cambridge University Press
Release Date : 1990-08-23
Twistors In Mathematics And Physics written by T. N. Bailey 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 1990-08-23 with Mathematics categories.
This 1990 collection of review articles covers the considerable progress made in a wide range of applications of twistor theory.
Banach Spaces Harmonic Analysis And Probability Theory
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Author : R. C. Blei
language : en
Publisher: Springer
Release Date : 2006-11-15
Banach Spaces Harmonic Analysis And Probability Theory written by R. C. Blei and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Invariant Theory
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Author : F. Gherardelli
language : en
Publisher: Springer
Release Date : 2006-11-15
Invariant Theory written by F. Gherardelli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Solitons Instantons And Twistors
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Author : Maciej Dunajski
language : en
Publisher: Oxford University Press
Release Date : 2024-05-07
Solitons Instantons And Twistors written by Maciej Dunajski and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-07 with Mathematics categories.
Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well-behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations. The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system.
Foundations Of Mathematics And Physics One Century After Hilbert
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Author : Joseph Kouneiher
language : en
Publisher: Springer
Release Date : 2018-05-26
Foundations Of Mathematics And Physics One Century After Hilbert written by Joseph Kouneiher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-26 with Science categories.
This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert’s works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing the impact of the breakthrough and the perspectives of their own contributions. The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. The journey is not confined to the present state of the art, but sheds light on future developments of the field, highlighting a list of open problems. Graduate students and researchers working in physics, mathematics and mathematical physics will find this journey extremely fascinating. All those who want to benefit from a comprehensive description of all the latest advances in mathematics and mathematical physics, will find this book very useful too.