Further Advances in Twistor Theory, Volume III PDF Download

Author: L.J. Mason
Publisher: CRC Press
ISBN: 1482280949
Category : Mathematics
Languages : en
Pages : 432

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Book Description
Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory. At the same time, the theory continues to offer pro

Author: L.J. Mason
Publisher: CRC Press
ISBN: 9781584880479
Category : Mathematics
Languages : en
Pages : 436

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Book Description
Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory. At the same time, the theory continues to offer promising new insights into the nature of quantum theory and gravitation. Further Advances in Twistor Theory, Volume III: Curved Twistor Spaces is actually the fourth in a series of books compiling articles from Twistor Newsletter-a somewhat informal journal published periodically by the Oxford research group of Roger Penrose. Motivated both by questions in differential geometry and by the quest to find a twistor correspondence for general Ricci-flat space times, this volume explores deformed twistor spaces and their applications. Articles from the world's leading researchers in this field-including Roger Penrose-have been written in an informal, easy-to-read style and arranged in four chapters, each supplemented by a detailed introduction. Collectively, they trace the development of the twistor programme over the last 20 years and provide an overview of its recent advances and current status.

Author: Lionel J. Mason
Publisher: Longman Scientific and Technical
ISBN:
Category : Mathematics
Languages : en
Pages : 296

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Book Description
"Twistor theory is the remarkable mathematicl framework that was discovered by Roger Penrose in the course of research into gravitation and quantum theory. It has since developed into a broad many-faceted programme that attempts to resolve basic problems in physics by encoding the the structure of physical fields and indeed space-time itself into the complex analytical geometry of twistor space."--BOOK JACKET.

Author: Abhay Ashtekar
Publisher: World Scientific
ISBN: 9812563946
Category : Science
Languages : en
Pages : 527

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Book Description
Divided into three parts, this volume focuses on a summary of how relativity theories were born. It also discusses the ramifications of general relativity, such as black holes, space-time singularities, gravitational waves, the large scale structure of the cosmos, and more. It includes summaries of radical changes in the notions of space and time.

Author: M K V Murthy
Publisher: CRC Press
ISBN: 9780582087668
Category : Mathematics
Languages : en
Pages : 242

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Book Description
Contains the proceedings of a workshop on nonlinear hyperbolic equations held at Varenna, Italy in June 1990.

Author: Alwyn Scott
Publisher: Routledge
ISBN: 1135455589
Category : Reference
Languages : en
Pages : 1107

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Book Description
In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Author: Mathieu Anel
Publisher: Cambridge University Press
ISBN: 1108848206
Category : Mathematics
Languages : en
Pages : 438

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Book Description
After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. This volume covers a broad range of topics in mathematical physics, including noncommutative geometry, supergeometry, derived symplectic geometry, higher geometric quantization, intuitionistic quantum logic, problems with the continuum description of spacetime, twistor theory, loop quantum gravity, and geometry in string theory. It is addressed primarily to mathematical physicists and mathematicians, but also to historians and philosophers of these disciplines.

Author: J M Chadam
Publisher: CRC Press
ISBN: 1000117200
Category : Mathematics
Languages : en
Pages : 287

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Book Description
This Research Note presents a collection of papers on emerging applications in free boundary problems. The subjects covered include microgravity, chemical and biological reactions, and electromagnetism and electronics.

Author: Augusto Visintin
Publisher: CRC Press
ISBN: 9780582209008
Category : Mathematics
Languages : en
Pages : 440

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Book Description
Hysteresis effects appear in several physical phenomena, such as ferromagnetism, ferroelectricity and plasticity. They also appear in many fields of engineering. This state-of-the-art volume provides a unique insight into this relatively new, but rapidly developing, topic of applied mathematics.

Author: J M Chadam
Publisher: CRC Press
ISBN: 9780582087675
Category : Mathematics
Languages : en
Pages : 264

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Book Description
This is the second of three volumes containing the proceedings of the International Colloquium 'Free Boundary Problems: Theory and Applications', held in Montreal from June 13 to June 22, 1990. The main theme of this volume is the concept of free boundary problems associated with solids. The first free boundary problem, the freezing of water - the Stefan problem - is the prototype of solidification problems which form the main part of this volume. The two sections treting this subject cover a large variety of topics and procedures, ranging from a theoretical mathematical treatment of solvability to numerical procedures for practical problems. Some new and interesting problems in solid mechanics are discussed in the first section while in the last section the important new subject of solid-solid-phase transition is examined.