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Painlevé Equations and Related Topics
This is a proceedings of the international conference "Painleve Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the SteklovInstitute of Mathematicsof theRussian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011. The survey articles discuss the following topics: general ordinary differentialequations, Painleve equations and their generalizations, Painleve property, discrete Painleve equations, properties of solutions of all mentioned above equations, reductions ofpartial differential equationsto Painleve equations and their generalizations, ordinary differentialequation systems equivalent to Painleve equations and their generalizations, and applications of the equations and the solutions."
Painlevé Equations and Related Topics
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
Special Functions
The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text and reference work.
Chronology of the Great Pyramid
The Great Pyramid is a book in stone, a book in which knowledge of mathematics, knowledge of architecture and knowledge of astronomy are stored. This is the knowledge of the Pyramid about our physical world and it is told in the first part of this book. The Great Pyramid also tells the history of human time and human spiritual life, because in the measures of the Pyramid it leaves coded testimonies about biblical events, biblical codes and about the end of time of the Earth in the days of the transformation of this world into a higher existential level between 2035-2070. In the second part of this book, Pyramid's story about our spiritual world is told. The book is intended for a wide readership, especially lovers of mysticism and esotericism, Freemasons, architects and students.
Mathematical Reviews
None
Journal of Physics A
Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.
Mud Volcanoes of the Black Sea Region and their Environmental Significance
This exceptionally well-illustrated book at a high scientific level describes mud volcanism as a complex, multidimensional phenomenon requiring multidisciplinary study. Mud volcanoes can be used as “cheap windows” to search for gas-hydrates and other mineral resources in the Black Sea region. Nothing similar has been published before, and as one of its unique features the book includes a vast amount of new data unavailable so far to the western reader. The book includes new data on driving forces, mechanisms, origin, geological and geomorphological features of mud volcanoes as well as new data on composition of solid, gaseous, and liquid components of erupted material. It covers a wide geographic region, and its subjects range from geological to environmental to industrial applications.
Analysis as a Tool in Mathematical Physics
Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theory and Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016” held at the Euler Institute in St. Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as tributes from friends and colleagues.
Computer Algebra in Scientific Computing
This book constitutes the refereed proceedings of the 12th International Workshop on Computer Algebra in Scientific Computing, CASC 2010, held in Tsakhadzor, Armenia, in September 2010. The book includes two invited talks and an abstract in addition to 23 full papers.
