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 Here

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


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

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.

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.

Some Musings on Theta, Eta, and Zeta

Some Musings on Theta, Eta, and Zeta PDF Author: Floyd L. Williams
Publisher: Springer Nature
ISBN: 9819953367
Category :
Languages : en
Pages : 233

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Book Description


High Energy Physics Index

High Energy Physics Index PDF Author:
Publisher:
ISBN:
Category : Nuclear physics
Languages : en
Pages : 678

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Book Description


Physics Briefs

Physics Briefs PDF Author:
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 934

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Book Description


Mathematical Physics

Mathematical Physics PDF Author: Sadri Hassani
Publisher: Springer Science & Business Media
ISBN: 9780387985794
Category : Science
Languages : en
Pages : 1052

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Book Description
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

Nonlinear Ordinary Differential Equations

Nonlinear Ordinary Differential Equations PDF Author: Dominic Jordan
Publisher: OUP Oxford
ISBN: 0191525995
Category : Mathematics
Languages : en
Pages : 540

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Book Description
This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinic bifurcation and Liapunov exponents. Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007). Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.