Fuchsian Reduction Applications To Geometry Cosmology And Mathematical Physics
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Fuchsian Reduction
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Author : Satyanad Kichenassamy
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-14
Fuchsian Reduction written by Satyanad Kichenassamy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-14 with Mathematics categories.
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
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Author : Kichenassamy
language : en
Publisher:
Release Date : 2009-09-01
Fuchsian Reduction Applications To Geometry Cosmology And Mathematical Physics written by Kichenassamy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-01 with categories.
Painlev Equations And Related Topics
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Author : Alexander D. Bruno
language : en
Publisher: Walter de Gruyter
Release Date : 2012-08-31
Painlev Equations And Related Topics written by Alexander D. Bruno and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-31 with Mathematics categories.
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
Recent Advances In Mathematical And Statistical Methods
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Author : D. Marc Kilgour
language : en
Publisher: Springer
Release Date : 2018-11-04
Recent Advances In Mathematical And Statistical Methods written by D. Marc Kilgour and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-04 with Computers categories.
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.
Nonlinear Oscillations Of Hamiltonian Pdes
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Author : Massimiliano Berti
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-05
Nonlinear Oscillations Of Hamiltonian Pdes written by Massimiliano Berti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-05 with Mathematics categories.
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.
Some Musings On Theta Eta And Zeta
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Author : Floyd L. Williams
language : en
Publisher: Springer Nature
Release Date : 2023-11-02
Some Musings On Theta Eta And Zeta written by Floyd L. Williams and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-02 with Science categories.
This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics. It is a follow-up and extension in some sense of the author’s earlier book entitled A window into zeta and modular physics. Some of the main topics are 1. A new approach to logarithmic corrections to black hole entropy 2. My recent work that provides for an explicit cold plasma-black hole connection 3. Generalization of work of physicists on certain asymptotic problems relating to string theory, for example, by way of the general theory of modular forms of non-positive weight 4. A construction of the E8 root lattice, its theta function, and its relevance for heterotic string theory 5. Applications of elliptic functions to KdV, nonlinear Schrödinger, and Duffing equations, for example, including a discussion of Lax pairs and the Miura transformation 6. Finite temperature zeta functions and partition functions for quantum fields in thermal equilibrium on various curved background spacetimes 7. Exact solutions of the Einstein gravitational field equations for Lemaitre and inhomogeneous cosmological models, with a special focus on the Szekeres–Szafron exact solutions by way of the Weierstrass elliptic function 8. Elementary particles and my zeta function formula for higher spin fermionic particles; this covers, in particular, the gravitino particle (of spin 3/2) and bosons with integral spin s = 2, 3, 4, 5. These are some sample topics. Others include the continuous Heisenberg model, reaction diffusion systems, Dirichlet and Hecke L-functions, the modular j-invariant, the computation of the one-loop effective potential for non-compact symmetric spaces, the BTZ black hole, Jacobi inversion formulas, etc. Thus, there is a very large range of material with the first 9 chapters of preliminary, expositional background for mathematicians and physicists.
High Energy Physics Index
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Author :
language : en
Publisher:
Release Date : 1988
High Energy Physics Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Nuclear physics categories.
Physics Briefs
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Author :
language : en
Publisher:
Release Date : 1994
Physics Briefs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Physics categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 1994
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Spectral Theory Of Automorphic Functions
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Author : A.B. Venkov
language : en
Publisher: Springer
Release Date : 1990-10-31
Spectral Theory Of Automorphic Functions written by A.B. Venkov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-10-31 with Mathematics categories.
'Et moi, ... , si j'avait su comment en revcnrr, One service mathematics has rendered the je n'y serais point aile.' human race. It has put common sense back. Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.