Download or read book New Trends in Mathematical Physics written by Vladas Sidoravicius and published by Springer Science & Business Media. This book was released on 2009-08-31 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area.
Download or read book Analysis and Mathematical Physics written by H. Triebel and published by Springer Science & Business Media. This book was released on 1987-01-31 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Trends in Stochastic Analysis and Related Topics written by Huaizhong Zhao and published by World Scientific. This book was released on 2012 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.
Download or read book Trends in Complex Analysis Differential Geometry and Mathematical Physics written by Stancho Dimiev and published by World Scientific. This book was released on 2003 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sixth International Workshop on Complex Structures and Vector Fields was a continuation of the previous five workshops (1992, 1994, 1996, 1998, 2000) on similar research projects. This series of workshops aims at higher achievements in studies of new research subjects. The present volume will meet with the satisfaction of many readers.
Download or read book Mathematics of Wave Phenomena written by Willy Dörfler and published by Springer Nature. This book was released on 2020-10-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.
Download or read book New Trends In Quantum Integrable Systems Proceedings Of The Infinite Analysis 09 written by Boris Feigin and published by World Scientific. This book was released on 2010-10-29 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project “Method of Algebraic Analysis in Integrable Systems” in 2004, the workshop's aim was to cover exciting new developments that have emerged during the recent years.Collected here are research articles based on the talks presented at the workshop, including the latest results obtained thereafter. The subjects discussed range across diverse areas such as correlation functions of solvable models, integrable models in quantum field theory, conformal field theory, mathematical aspects of Bethe ansatz, special functions and integrable differential/difference equations, representation theory of infinite dimensional algebras, integrable models and combinatorics.Through these topics, the reader can learn about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics.
Download or read book New Trends in Physics Education Research written by Salvatore Magazù and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Those who operate in physics education frequently ask research operators for suggestions, reference models, updated content and answers for their professional work. So far, the sector has not achieved significant advances specifically in terms of both content updates and methodology approaches. In the special issue, titled New Trends in Physics Education Research, the authors, in addition to presenting some new topics in physics education, take into account the greater relevance that in recent years the Evidence Based Education has taken place. In this framework, the main points of issue include: 1) Dealing with new trends in teaching and learning processes in physics; highlighting new mathematics content for physics courses; 3) giving evidence of the key role played by laboratory activities in physics training courses; and 4) stressing the importance of interdisciplinary approaches as well as scientific culture, communication and dissemination. Physics teaching involves several fields and different disciplines (such as mathematics, philosophy, laboratory activities, etc.) where the same arguments are often explained without clarifying that often there is a close correlation between disciplines. In particular, an integrated theoretical and experimental approach can improve the knowledge of some subjects of physics and mathematics; furthermore, it is also useful to employ a joint approach with laboratory activities, and by doing so enriching topics of meaning. In such cases, mathematics provides the adapt tools for physics and also is able to drive physical intuition; on the other hand, physics and its laboratory activities provide simple access to mathematical topics of complex comprehension. The issue is addressed to academics and schoolteachers as well as researchers in the field of physics education.
Download or read book 40 Years In Mathematical Physics written by Ludvig Dmitrievich Faddeev and published by World Scientific. This book was released on 1995-10-09 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of Prof L D Faddeev's important lectures, papers and talks. Some of these have not been published before and some have, for the first time, been translated from Russian into English. The topics covered correspond to several distinctive and pioneering contributions of Prof Faddeev to modern mathematical physics: quantization of YangߝMills and Einstein gravitational fields, soliton theory, the many-dimensional inverse problem in potential scattering, the Hamiltonian approach to anomalies, and the theory of quantum integrable models. There are also two papers on more general aspects of the interrelations between physics and mathematics as well as an autobiographical essay.
Download or read book What s Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
Download or read book Trends in Differential Geometry Complex Analysis and Mathematical Physics written by Kouei Sekigawa and published by World Scientific Publishing Company Incorporated. This book was released on 2009 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discrete model for Kähler magnetic fields on a complex hyperbolic space / T. Adachi -- Integrability condition on the boundary parameters of the asymmetric exclusion process and matrix product ansatz / B. Aneva -- Remarks on the double-complex Laplacian / L. Apostolova -- Generalizations of conjugate connections / O. Calin, H. Matsuzoe, J. Zhang -- Asymptotics of generalized value distribution for Herglotz functions / Y. T. Christodoulides -- Cyclic hyper-scalar systems / S. Dimiev, M. S. Marinov, Z. Zhelev -- Plane curves associated with integrable dynamical systems of the Frenet-Serret type / P. A. Djondjorov, V. M. Vassilev, I. M. Mladenov -- Relativistic strain and electromagnetic photon-like objects / S. Donev, M. Tashkova -- A construction of minimal surfaces in flat tori by swelling / N. Ejiri -- On NLS equations on BD.I symmetric spaces with constant boundary conditions / V. S. Gerdjikov, N. A. Kostov -- Orthogonal almost complex structures on S[symbol] x R[symbol] / H. Hashimoto, M. Ohashi -- Persistence of solutions for some integrable shallow water equations / D. Henry -- Some geometric properties and objects related to Bézier curves / M. J. Hristov -- Heisenberg relations in the general case / B. Z. Iliev -- Poisson structures of equations associated with groups of diffeomorphisms / R. I. Ivanov -- Hyperbolic Gauss maps and parallel surfaces in hyperbolic three-space / M. Kokubu -- On the lax pair for two and three wave interaction system / N. A. Kostov -- Mathematical outlook of fractals and chaos related to simple orthorhombic Ising-Onsager-Zhang lattices / J. Ławrynowicz, S. Marchiafava, M. Nowak-Kepczyk -- A characterization of Clifford minimal hypersurfaces of a sphere in terms of their geodesics / S. Maeda -- On the curvature properties of real time-like hypersurfaces of Kähler manifolds with Norden metric / M. Manev, M. Teofilova -- Some submanifolds of almost contact manifolds with Norden metric / G. Nakova -- A short note on the double-complex Laplace operator / P. Popivanov -- Monogenic, hypermonogenic and holomorphic Cliffordian functions - a survey / I. P. Ramadanoff -- On some classes of exact solutions of eikonal equation / Ł. T. Stepień -- Dirichlet property for tessellations of tiling-type 4 on a plane by congrent pentagons / Y. Takeo, T. Adachi -- Almost complex connections on almost complex manifolds with Norden metric / M. Teofilova -- Pseudo-boson coherent and Fock states / D. A. Trifonov -- New integrable equations of mKdV type / T. I. Valchev -- Integrable dynamical systems of the Frenet-Serret type / V. M. Vassilev, P. A. Djondjorov, I. M. Mladenov
Download or read book Fueling Innovation and Discovery written by National Research Council and published by National Academies Press. This book was released on 2012-08-02 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical sciences are part of everyday life. Modern communication, transportation, science, engineering, technology, medicine, manufacturing, security, and finance all depend on the mathematical sciences. Fueling Innovation and Discovery describes recent advances in the mathematical sciences and advances enabled by mathematical sciences research. It is geared toward general readers who would like to know more about ongoing advances in the mathematical sciences and how these advances are changing our understanding of the world, creating new technologies, and transforming industries. Although the mathematical sciences are pervasive, they are often invoked without an explicit awareness of their presence. Prepared as part of the study on the Mathematical Sciences in 2025, a broad assessment of the current state of the mathematical sciences in the United States, Fueling Innovation and Discovery presents mathematical sciences advances in an engaging way. The report describes the contributions that mathematical sciences research has made to advance our understanding of the universe and the human genome. It also explores how the mathematical sciences are contributing to healthcare and national security, and the importance of mathematical knowledge and training to a range of industries, such as information technology and entertainment. Fueling Innovation and Discovery will be of use to policy makers, researchers, business leaders, students, and others interested in learning more about the deep connections between the mathematical sciences and every other aspect of the modern world. To function well in a technologically advanced society, every educated person should be familiar with multiple aspects of the mathematical sciences.
Download or read book Attractors for Equations of Mathematical Physics written by Vladimir V. Chepyzhov and published by American Mathematical Soc.. This book was released on 2002 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major problems in the study of evolution equations of mathematical physics is the investigation of the behavior of the solutions to these equations when time is large or tends to infinity. The related important questions concern the stability of solutions or the character of the instability if a solution is unstable. In the last few decades, considerable progress in this area has been achieved in the study of autonomous evolution partial differential equations. For anumber of basic evolution equations of mathematical physics, it was shown that the long time behavior of their solutions can be characterized by a very important notion of a global attractor of the equation. In this book, the authors study new problems related to the theory of infinite-dimensionaldynamical systems that were intensively developed during the last 20 years. They construct the attractors and study their properties for various non-autonomous equations of mathematical physics: the 2D and 3D Navier-Stokes systems, reaction-diffusion systems, dissipative wave equations, the complex Ginzburg-Landau equation, and others. Since, as it is shown, the attractors usually have infinite dimension, the research is focused on the Kolmogorov $\varepsilon$-entropy of attractors. Upperestimates for the $\varepsilon$-entropy of uniform attractors of non-autonomous equations in terms of $\varepsilon$-entropy of time-dependent coefficients are proved. Also, the authors construct attractors for those equations of mathematical physics for which the solution of the corresponding Cauchyproblem is not unique or the uniqueness is not proved. The theory of the trajectory attractors for these equations is developed, which is later used to construct global attractors for equations without uniqueness. The method of trajectory attractors is applied to the study of finite-dimensional approximations of attractors. The perturbation theory for trajectory and global attractors is developed and used in the study of the attractors of equations with terms rapidly oscillating with respect tospatial and time variables. It is shown that the attractors of these equations are contained in a thin neighborhood of the attractor of the averaged equation. The book gives systematic treatment to the theory of attractors of autonomous and non-autonomous evolution equations of mathematical physics.It can be used both by specialists and by those who want to get acquainted with this rapidly growing and important area of mathematics.
Download or read book Differential Equations on Manifolds and Mathematical Physics written by Vladimir M. Manuilov and published by Birkhäuser. This book was released on 2022-01-22 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a volume originating from the Conference on Partial Differential Equations and Applications, which was held in Moscow in November 2018 in memory of professor Boris Sternin and attracted more than a hundred participants from eighteen countries. The conference was mainly dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis. The volume contains selected contributions by leading experts in these fields and presents the current state of the art in several areas of PDE. It will be of interest to researchers and graduate students specializing in partial differential equations, mathematical physics, topology, geometry, and their applications. The readers will benefit from the interplay between these various areas of mathematics.
Download or read book Mathematical Studies on Human Disease Dynamics written by Abba B. Gumel and published by American Mathematical Soc.. This book was released on 2006 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS-SIAM-IMS Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, held in Snowbird, Utah, July 17-21, 2005. The goal of the conference was to bring together leading and upcoming researchers to discuss the latest advances and challenges associated with the modeling of the dynamics of emerging and re-emerging diseases, and to explore various control strategies. The articles included in this book are devoted to some of the significant recent advances, trends, and challenges associated with the mathematical modeling and analysis of the dynamics and control of some diseases of public health importance. In addition to illustrating many of the diverse prevailing epidemiological challenges, together with the diversity of mathematical approaches needed to address them, this book provides insights on a number of topical modeling issues such as the modeling and control of mosquito-borne diseases, respiratory diseases, animal diseases (such as foot-and-mouth disease), cancer and tumor growth modeling, influenza, HIV, HPV, rotavirus, etc. This book also touches upon other important topics such as the use of modeling i
Download or read book New Trends in Mathematics Teaching written by Unesco and published by . This book was released on 1967 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics in a New Era written by National Research Council and published by National Academies Press. This book was released on 2001-07-15 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics at the beginning of the twenty-first century has reached new levels of accomplishment and impact in a society and nation that are changing rapidly. Accomplishments have led us into the information age and fueled broad technological and economic development. The pace of discovery is quickening and stronger links with other fields such as the biological sciences are being developed. The intellectual reach has never been greater, and the questions being asked are more ambitious than ever before. Physics in a New Era is the final report of the NRC's six-volume decadal physics survey. The book reviews the frontiers of physics research, examines the role of physics in our society, and makes recommendations designed to strengthen physics and its ability to serve important needs such as national security, the economy, information technology, and education.
Download or read book Trend and Applications of Mathematics to Mechanics written by S. Rionero and published by Springer Science & Business Media. This book was released on 2006-09-11 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a collection of recent theoretical and methodological advances which can provide support and stimulus to scientists and scholars involved in research activity in the fields of interest.
