Since 1984, a series of regional conferences on mathematical physics has been organized by physicists from Iran, Pakistan and Turkey to promote the research in mathematical and theoretical physics in the region. This volume, which derives from the XI Regional Conference on Mathematical Physics, comprises 8 review and 44 research articles on the most significant topics in mathematical and theoretical physics such as astrophysics and cosmology, conformal field theory, high energy physics, general relativity and plasma physics.The review articles are comprehensive and self-contained and report on the most important developments in the corresponding subjects. Each review article provides a complete list of references, which is especially useful for graduate students who are just starting their research activities; even ambitious undergraduates in physics can use these review papers as useful background material to go further into the subject and explore the research literature. They are contributed by prominent senior scientists: M Moniez (Laboratoire de l'Accelerateur Lineare, France) and V Sahni (Inter-University Centre for Astronomy and Astrophysics (IUCAA), India) in Astrophysics and Cosmology, W Nahm (Dublin Institute for Advanced Studies (DIAS), Ireland) in Conformal Field Theory, J Lukierski (University of Wroclaw, Poland) in Mathematical Physics, Riazuddin and Fayyazuddin (Quaid-i-Azam University, Pakistan) in High Energy Physics, N Dadhich (Inter-University Centre for Astronomy and Astrophysics (IUCAA), India) and A Qadir (National University of Science and Technology, Pakistan) in General Relativity, and N Tsintsadze (Tbilisi State University, Georgia) in Plasma Physics.

This volume consists of the scientific work presented at the 14th Regional Conference on Mathematical Physics, held in November 2015 in Islamabad, Pakistan, and dedicated to the memory of Riazuddin, the first Pakistani PhD student of the late Nobel laureate, Abdus Salam, and one of the pioneers who developed physics in Pakistan.This collection surveys the latest developments in a wide area of mathematical physics as presented by world-renowned experts. The contributors sample a number of topics including the formal aspects of mathematical physics, general relativity and cosmology, particle physics, astrophysics, string theory, black hole physics, quantum gravity, quantum field theory, condensed matter physics, symmetries in mathematics and physics, and even applied physics.

These proceedings survey the latest developments in a wide area of mathematical physics as presented by internationally renowned experts. The fields surveyed are High Energy Physics, String Theory, Relativity, Astrophysics, Cosmology, Plasma Physics and Formal Aspects of Mathematical Physics. Some of the exciting topics discussed in this volume are fundamental questions about black holes and string theory, supermassive black holes, string theory and the quantum structure of space-time, AdS space-time and holography, the cosmological constant, non-commutative geometry, quantum gravity, symmetries in general relativity, recent developments in neutrino physics and astrophysical plasmas.

The XI international conference Stochastic and Analytic Methods in Mathematical Physics was held in Yerevan 2 – 7 September 2019 and was dedicated to the memory of the great mathematician Robert Adol’fovich Minlos, who passed away in January 2018. The present volume collects a large majority of the contributions presented at the conference on the following domains of contemporary interest: classical and quantum statistical physics, mathematical methods in quantum mechanics, stochastic analysis, applications of point processes in statistical mechanics. The authors are specialists from Armenia, Czech Republic, Denmark, France, Germany, Italy, Japan, Lithuania, Russia, UK and Uzbekistan. A particular aim of this volume is to offer young scientists basic material in order to inspire their future research in the wide fields presented here.

For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills-specifically, reasoning skills-that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

A study of the art and science of solving elliptic problems numerically, with an emphasis on problems that have important scientific and engineering applications, and that are solvable at moderate cost on computing machines.

The idea of this book originated from two series of lectures given by us at the Physics Department of the Catholic University of Petr6polis, in Brazil. Its aim is to present an introduction to the "algebraic" method in the perturbative renormalization of relativistic quantum field theory. Although this approach goes back to the pioneering works of Symanzik in the early 1970s and was systematized by Becchi, Rouet and Stora as early as 1972-1974, its full value has not yet been widely appreciated by the practitioners of quantum field theory. Becchi, Rouet and Stora have, however, shown it to be a powerful tool for proving the renormalizability of theories with (broken) symmetries and of gauge theories. We have thus found it pertinent to collect in a self-contained manner the available information on algebraic renormalization, which was previously scattered in many original papers and in a few older review articles. Although we have taken care to adapt the level of this book to that of a po- graduate (Ph. D. ) course, more advanced researchers will also certainly find it useful. The deeper knowledge of renormalization theory we hope readers will acquire should help them to face the difficult problems of quantum field theory. It should also be very helpful to the more phenomenology oriented readers who want to famili- ize themselves with the formalism of renormalization theory, a necessity in view of the sophisticated perturbative calculations currently being done, in particular in the standard model of particle interactions.