Fuchsian Reduction

Fuchsian Reduction PDF Author: Satyanad Kichenassamy
Publisher: Springer Science & Business Media
ISBN: 081764637X
Category : Mathematics
Languages : en
Pages : 296

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Book Description
This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and Holder spaces as well as Nash-Moser implicit function theorem are provided. Most chapters contain a problem section and notes with references to the literature. This volume can be used as a text in graduate courses in PDEs and/or Algebra, or as a resource for researchers working with applications to Fuchsian Reduction. The comprehensive approach features the inclusion of problems and bibliographic notes.

Fuchsian Reduction

Fuchsian Reduction PDF Author: Satyanad Kichenassamy
Publisher: Springer Science & Business Media
ISBN: 081764637X
Category : Mathematics
Languages : en
Pages : 296

Get Book

Book Description
This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and Holder spaces as well as Nash-Moser implicit function theorem are provided. Most chapters contain a problem section and notes with references to the literature. This volume can be used as a text in graduate courses in PDEs and/or Algebra, or as a resource for researchers working with applications to Fuchsian Reduction. The comprehensive approach features the inclusion of problems and bibliographic notes.

Fuchsian Reduction: Applications To Geometry, Cosmology And Mathematical Physics

Fuchsian Reduction: Applications To Geometry, Cosmology And Mathematical Physics PDF Author: Kichenassamy
Publisher:
ISBN: 9788184893830
Category :
Languages : en
Pages : 304

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Book Description


Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology

Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology PDF Author: Jens Bölte
Publisher: Cambridge University Press
ISBN: 1107610494
Category : Mathematics
Languages : en
Pages : 285

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Book Description
Leading experts introduce this classical subject with exciting new applications in theoretical physics.

Recent Advances in Mathematical and Statistical Methods

Recent Advances in Mathematical and Statistical Methods PDF Author: D. Marc Kilgour
Publisher: Springer
ISBN: 331999719X
Category : Computers
Languages : en
Pages : 646

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Book Description
This book focuses on the recent development of methodologies and computation methods in mathematical and statistical modelling, computational science and applied mathematics. It emphasizes the development of theories and applications, and promotes interdisciplinary endeavour among mathematicians, statisticians, scientists, engineers and researchers from other disciplines. The book provides ideas, methods and tools in mathematical and statistical modelling that have been developed for a wide range of research fields, including medical, health sciences, biology, environmental science, engineering, physics and chemistry, finance, economics and social sciences. It presents original results addressing real-world problems. The contributions are products of a highly successful meeting held in August 2017 on the main campus of Wilfrid Laurier University, in Waterloo, Canada, the International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS-2017). They make this book a valuable resource for readers interested not only in a broader overview of the methods, ideas and tools in mathematical and statistical approaches, but also in how they can attain valuable insights into problems arising in other disciplines.

Painlevé Equations and Related Topics

Painlevé Equations and Related Topics PDF Author: Alexander D. Bruno
Publisher: Walter de Gruyter
ISBN: 311027566X
Category : Mathematics
Languages : en
Pages : 288

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Book Description
This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011. The survey articles discuss the following topics: General ordinary differential equations Painlevé equations and their generalizations Painlevé property Discrete Painlevé equations Properties of solutions of all mentioned above equations: – Asymptotic forms and asymptotic expansions – Connections of asymptotic forms of a solution near different points – Convergency and asymptotic character of a formal solution – New types of asymptotic forms and asymptotic expansions – Riemann-Hilbert problems – Isomonodromic deformations of linear systems – Symmetries and transformations of solutions – Algebraic solutions Reductions of PDE to Painlevé equations and their generalizations Ordinary Differential Equations systems equivalent to Painlevé equations and their generalizations Applications of the equations and the solutions

Geometrical Methods of Mathematical Physics

Geometrical Methods of Mathematical Physics PDF Author: Bernard F. Schutz
Publisher: Cambridge University Press
ISBN: 9780521298872
Category : Mathematics
Languages : en
Pages : 272

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Book Description
For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This book provides an introduction to the concepts and techniques of modern differential theory, particularly Lie groups, Lie forms and differential forms.

Nonlinear Oscillations of Hamiltonian PDEs

Nonlinear Oscillations of Hamiltonian PDEs PDF Author: Massimiliano Berti
Publisher: Springer Science & Business Media
ISBN: 0817646817
Category : Mathematics
Languages : en
Pages : 191

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Book Description
Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. The text serves as an introduction to research in this fascinating and rapidly growing field. Graduate students and researchers interested in variational techniques and nonlinear analysis applied to Hamiltonian PDEs will find inspiration in the book.

Spacetime

Spacetime PDF Author: Marcus Kriele
Publisher: Springer Science & Business Media
ISBN: 3540663770
Category : Mathematics
Languages : en
Pages : 444

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Book Description
This textbook is for mathematicians and mathematical physicists and is mainly concerned with the physical justification of both the mathematical framework and the foundations of the theory of general relativity. Previous knowledge of the relevant physics is not assumed. This book is also suitable as an introduction to pseudo-Riemannian geometry with emphasis on geometrical concepts. A significant part of the text is devoted to the discussion of causality and singularity theorems. The insights obtained are applied to black hole astrophysics, thereby making the connection to current active research in mathematical physics and cosmology.

Physical Applications of Homogeneous Balls

Physical Applications of Homogeneous Balls PDF Author: Yaakov Friedman
Publisher: Birkhäuser
ISBN: 9780817682095
Category : Mathematics
Languages : en
Pages : 279

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Book Description
* Develops new tools to efficiently describe different branches of physics within one mathematical framework * Gives a clear geometric expression of the symmetry of physical laws * Useful for researchers and graduate students interested in the many physical applications of bounded symmetric domains * Will also benefit a wider audience of mathematicians, physicists, and graduate students working in relativity, geometry, and Lie theory

Noncommutative Differential Geometry and Its Applications to Physics

Noncommutative Differential Geometry and Its Applications to Physics PDF Author: Yoshiaki Maeda
Publisher: Springer Science & Business Media
ISBN: 9401007047
Category : Science
Languages : en
Pages : 310

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Book Description
Noncommutative differential geometry is a new approach to classical geometry. It was originally used by Fields Medalist A. Connes in the theory of foliations, where it led to striking extensions of Atiyah-Singer index theory. It also may be applicable to hitherto unsolved geometric phenomena and physical experiments. However, noncommutative differential geometry was not well understood even among mathematicians. Therefore, an international symposium on commutative differential geometry and its applications to physics was held in Japan, in July 1999. Topics covered included: deformation problems, Poisson groupoids, operad theory, quantization problems, and D-branes. The meeting was attended by both mathematicians and physicists, which resulted in interesting discussions. This volume contains the refereed proceedings of this symposium. Providing a state of the art overview of research in these topics, this book is suitable as a source book for a seminar in noncommutative geometry and physics.