solitons instantons and twistors oxford graduate texts in mathematics

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Solitons Instantons And Twistors

Author : Maciej Dunajski
ISBN : 9780198570622
Genre : Mathematics
File Size : 90. 83 MB
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The book provides a self-contained and accessible introduction to elementary twistor theory; a technique for solving differential equations in applied mathematics and theoretical physics. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basicdifferential geometry, complex manifold theory and the exterior differential system.

Inverse Problems And Applications

Author : Gunther Uhlmann
ISBN : 9781107032019
Genre : Mathematics
File Size : 45. 63 MB
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Inverse problems lie at the heart of contemporary scientific inquiry and technological development. Applications include a variety of medical and other imaging techniques, which are used for early detection of cancer and pulmonary edema, location of oil and mineral deposits in the Earth's interior, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes, and modeling in the life sciences among others. The expository survey essays in this book describe recent developments in inverse problems and imaging, including hybrid or couple-physics methods arising in medical imaging, Calderon's problem and electrical impedance tomography, inverse problems arising in global seismology and oil exploration, inverse spectral problems, and the study of asymptotically hyperbolic spaces. It is suitable for graduate students and researchers interested in inverse problems and their applications.

4 Manifolds

Author : Selman Akbulut
ISBN : 9780191087769
Genre : Mathematics
File Size : 52. 20 MB
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This book presents the topology of smooth 4-manifolds in an intuitive self-contained way, developed over a number of years by Professor Akbulut. The text is aimed at graduate students and focuses on the teaching and learning of the subject, giving a direct approach to constructions and theorems which are supplemented by exercises to help the reader work through the details not covered in the proofs. The book contains a hundred colour illustrations to demonstrate the ideas rather than providing long-winded and potentially unclear explanations. Key results have been selected that relate to the material discussed and the author has provided examples of how to analyse them with the techniques developed in earlier chapters.

Integrable Systems

Author : N.J. Hitchin
ISBN : 9780199676774
Genre : Mathematics
File Size : 84. 49 MB
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Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.

Differential Geometry

Author : Clifford Henry Taubes
ISBN : 9780199605880
Genre : Mathematics
File Size : 77. 83 MB
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Bundles, connections, metrics and curvature are the lingua franca of modern differential geometry and theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, this book would suit a one-semester course on the subject of bundles and the associated geometry.

4 Manifolds

Author : Selman Akbulut
ISBN : 9780198784869
Genre :
File Size : 51. 37 MB
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This book presents the topology of smooth 4-manifolds in an intuitive self-contained way, developed over a number of years by Professor Akbulut. The text is aimed at graduate students and focuses on the teaching and learning of the subject, giving a direct approach to constructions and theorems which are supplemented by exercises to help the reader work through the details not covered in the proofs. The book contains a hundred colour illustrations to demonstrate the ideas rather than providing long-winded and potentially unclear explanations. Key results have been selected that relate to the material discussed and the author has provided examples of how to analyse them with the techniques developed in earlier chapters.

Stochastic Analysis And Diffusion Processes

Author : Gopinath Kallianpur
ISBN : 9780199657070
Genre : Mathematics
File Size : 24. 93 MB
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Beginning with the concept of random processes and Brownian motion and building on the theory and research directions in a self-contained manner, this book provides an introduction to stochastic analysis for graduate students, researchers and applied scientists interested in stochastic processes and their applications.

Riemann Surfaces

Author : Simon Donaldson
ISBN : 9780198526391
Genre : Mathematics
File Size : 65. 98 MB
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An authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view; it pulls together material from global analysis, topology, and algebraic geometry, and covers the essential mathematical methods and tools.

Algebra Arithmetic And Geometry

Author : Yuri Tschinkel
ISBN : 9780817647476
Genre : Mathematics
File Size : 70. 36 MB
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EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.

Encyclopedia Of Nonlinear Science

Author : Alwyn Scott
ISBN : 9781135455583
Genre : Reference
File Size : 77. 95 MB
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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.

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