Mathematical physics

This book attempts to bridge the gap between the principles of pure mathematics and the applications in physical science.

The book surveys mathematical relations between classical and quantum mechanics, gravity, time and thermodynamics from various points of view and many sources (with appropriate attribution).

This volume contains a selection of contributions by prominent mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco duing the period of 28-30 October, 2008.

This book provides an interdisciplinary introduction to the notion of fractal time, starting from scratch with a philosophical and perceptual puzzle.

This book contains the Proceedings of the Seventh Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on June 20-24, 2016.

This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations.

The International Congress on Mathematical Physics is the flagship conference in this exciting field.

The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted.

This book is addressed to graduate students and research workers in theoretical physics who want a thorough introduction to group theory and Hopf algebras.

This book contains recent contributions in the field of waves propagation and stability in continuous media.

The Maxwell, Einstein, Schrodinger and Dirac equations are considered the most important equations in all of physics.

This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge developments in the field - including some innovations by the authors themselves - that have not appeared in any other book.

The aim of the book is to provide a new and fruitful approach to the challenging problems of modern physics, astrophysics, and cosmology.

The volume collects papers from talks given at QMath11 - Mathematical Results in Quantum Physics, which was held in Hradec Kralove, September 2010.

This volume is based on lectures given during the program "e;Complex Quantum Systems"e; held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010.

In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral.

Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics.

The International Congress on Mathematical Physics is a major conference in its field that attracts a very wide spectrum of researchers.

This volume showcases selected recent work presented at the 13th Regional Conference on Mathematical Physics held in Antalya, Turkey in 2010.

Although contact geometry and topology is briefly discussed in V I Arnol'd's book "e;Mathematical Methods of Classical Mechanics "e;(Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.

Atomic correlations have been studied in physics for over 50 years and known as collective effects until recently when they came to be recognized as a source of entanglement.

This book aims to provide advanced students and researchers with the text on a nonperturbative, thermodynamically grounded, and largely analytical approach to four-dimensional Quantum Gauge Theory.

This is the fifth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals.

This book highlights the mathematical and physical properties of acoustical sources with singularities located in the complex plane and presents the application of such special elements to solve acoustical radiation and scattering problems.

This book summarizes unique research findings on the hydrodynamic behavior of ice particles (ice crystals, snow, graupel and hailstones) in the atmosphere.

This book provides self-contained proofs of the existence of ground states of several interaction models in quantum field theory.

It is not uncommon for the Principle of Complementarity to be invoked in either Science or Philosophy, viz.

'The third edition of this book is designed to carefully and coherently introduce fractional calculus to physicists, by applying the ideas to two distinct applications: classical problems and multi-particle quantum problems.

The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations.

Symbolic dynamics is a coarse-grained description of dynamics.

This volume presents lecture notes of the 12th International School of Theoretical Physics held in 2016 in Rzeszow, Poland.

This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses.

Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics.

The book aims to analyze and explore deep and profound relations between string field theory, higher spin gauge theories and holography - the disciplines that have been on the cutting edge of theoretical high energy physics and other fields.

This volume, recording the 10th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier surveys and continues to develop Unified Field Mechanics (UFM) from the perspective of Multiverse cosmology and Topological Field Theory.

This book is devoted to the Einstein's field equations of general relativity for self-gravitating massive scalar fields.

In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics.

We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets - important ways of modeling population biology and many other fields.

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.

The book is important as it contains results many of which are not available in the literature, except in the author's papers.

On August 20, 2015, a symposium at Lawrence Livermore National Laboratory was held in honor of Berni J.

In modern physics, various fundamental problems have become topics of ongoing debate.

The main goal is to offer to readers a panorama of recent progress in nonlinear physics, complexity and transport with attractive chapters readable by a broad audience.

This proceedings contains topics of the Symposium on Dynamical Systems and Applications held at Kyoto (8#x2013;11 July).

Starting from Sophus Lie, the invariance of a differential equation under its continuous group of symmetries has become a major tool for solving ordinary and partial differential equations, in particular, nonlinear ones.

The second edition of this book deals, as the first, with the foundations of classical physics from the 'symplectic' point of view, and of quantum mechanics from the 'metaplectic' point of view.

This book is divided into two parts.

This book contains the Proceedings of the Seventh Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on June 20-24, 2016.