Mathematical physics

This molecular dynamics textbook takes the reader from classical mechanics to quantum mechanics and vice versa, and from few-body systems to many-body systems.

This monograph is devoted to a new approach to an old field of scientific investigation, freeway traffic research.

This book serves as a textbook for an analytical mechanics course, a fundamental subject of physics, that pays special attention to important topics that are not discussed in most standard textbooks.

This book takes an in depth look at a novel methodology for analyzing Global Positioning System (GPS) data to obtain the highest possible resolution surface imaging of tectonic deformation sources without prescribing the nature of either the sources or the subsurface medium.

Alternative Mathematical Theory of Non-equilibrium Phenomena presents an entirely new theoretical approach to complex non-equilibrium phenomena, especially Gibbs/Falk thermodynamics and fluid mechanics.

This textbook addresses the special physics of many-particle systems, especially those dominated by correlation effects.

The application of quantum mechanics to many-particle systems has been an active area of research in recent years as researchers have looked for ways to tackle difficult problems in this area.

The goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics.

The main focus of the book is solvability of cellular automata, that is, expressing the state of a given cell after a given number of steps by an explicit formula.

Originally published in 1976.

Unified Non-Local Theory of Transport Processess, 2nd Edition provides a new theory of transport processes in gases, plasmas and liquids.

This book contains the manuscripts of the papers delivered at the International Sym- posium on Synergetics held at SchloB Elmau, Bavaria, Germany, from April 30 until May 5, 1979.

This text describes a comprehensive adjoint sensitivity analysis methodology (nth-CASAM), developed by the author, which enablesthe efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems.

This graduate textbook provides a unified view of quantum information theory.

This textbook is an elementary introduction to the basic principles of partial differential equations.

"e;The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.

Over the past five years, through a continually increasing wave of activity in the physics community, supergravity has come to be regarded as one of the most promising ways of unifying gravity with other particle interaction as a finite gauge theory to explain the spectrum of elementary particles.

This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators.

This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers.

This book presents numerical methods for solving a wide range of problems associated with the structure of atoms and simplest molecules, and their interaction with electromagnetic radiation, electrons, and other particles.

This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building.

This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables.

This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications.

In addition to a deductive approach to equilibrium statistics and thermodynamics based on a single hypothesis - the form of the microcanonical density matrix - this book treats the most important elements of non-equilibrium phenomena.

This book contains review articles of most of the topics addressed at the conf- ence on Simulations of Magnetohydrodynamic turbulence in astrophysics: recent achievements and perspectives which took place from July 2 to 6, 2001 at the Institut Henri Poincar'e in Paris.

As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field.

Pedagogical exposition providing a new perspective on relativistic quantum field theory for graduate students and researchers.

One of the problems facing mathematics and physics is that mathematicians and physicists speak languages that the others find hard to understand.

During the past ten years, there has been intensive development in theoretical and experimental research of solitons in periodic media.

This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Bialowieza, Poland in July 2023.

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 focuses on the analysis and design of advanced techniques for on-line automatic computational monitoring of pipelines and pipe networks.

This textbook provides an exposition of equilibrium thermodynamics and its applications to several areas of physics with particular attention to phase transitions and critical phenomena.

This book is about black holes, one of the most intriguing objects of modern theoretical physics and astrophysics.

This thesis presents the state of the art in the study of Bondi-Metzner-Sachs (BMS) symmetry and its applications in the simplified setting of three dimensions.

The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing.

This book introduces the subject of probabilistic analysis to engineers and can be used as a reference in applying this technology.

Combining ethnographic research with theological analysis, this book explores how the Catholic Charismatic Renewal (CCR), one of the largest new movements within the global Catholic Church, has developed in contemporary Britain and Northern Ireland.

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

This volume presents five pedagogical articles spanning frontier developments in contemporary nuclear physics ranging from the physics of a single nucleon to nucleosynthesis in the Big Bang.

The Handbook of Materials Modeling, 2nd edition is a six-volume major reference serving a steadily growing community at the intersection of two mainstreams of global research: computational science and materials science and technology.

This book explores combinatorial problems and insights in quantum field theory.

This book is a survey of the research work done by the author over the last 15 years, in collaboration with various eminent mathematicians and climate scientists on the subject of tropical convection and convectively coupled waves.

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.