Mathematical physics

Applied Mathematics is the art of constructing mathematical models of observed phenomena so that both qualitative and quantitative results can be predicted by the use of analytical and numerical methods.

In its most general form bifurcation theory is a theory of asymptotic solutions of nonlinear equations.

This book offers an introduction to the physics of nonlinear phenomena through two complementary approaches: bifurcation theory and catastrophe theory.

The notion dealt with in this volume of proceedings is often traced back to the late 19th-century writings of a rather obscure scientist, C.

This thesis offers the first laboratory validation of microscopic simulations of radio emission from particle showers, including a detailed description of the simulation study.

The NATO Advanced Research Workshop "e;Painleve Transcendents, their Asymp- totics and Physical Applications"e;, held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, brought together a group of experts to discuss the topic and produce this volume.

This proceedings volume is based on papers presented at the First Annual Workshop on Inverse Problems which was held in June 2011 at the Department of Mathematics, Chalmers University of Technology.

The last decades have demonstrated that quantum mechanics is an inexhaustible source of inspiration for contemporary mathematical physics.

This text provides an introduction to the applications and implementations of partial differential equations.

This book provides a detailed instruction to virtually reproduce the processes of Additive Manufacturing on a computer.

This book grew out of the need to provide students with a solid introduction to modern fluid dynamics.

This volume represents the latest advances in the field of theoretical and computational acoustics.

Free energy constitutes the most important thermodynamic quantity to understand how chemical species recognize each other, associate or react.

This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments).

Mathematical Modeling in Diffraction Theory: Based on A Priori Information on the Analytical Properties of the Solution provides the fundamental physical concepts behind the theory of wave diffraction and scattered wave fields as well as its application in radio physics, acoustics, optics, radio astronomy, biophysics, geophysics, and astrophysics.

Mathematics develops both due to demands of other sciences and due to its internal logic.

This is the first book dedicated to reviewing the mathematics of random tilings of large domains on the plane.

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The present volume collects lecture notes from the session of the International School of Mathematical Physics 'Ettore Majorana' on Renormalization Theory that took place in Erice (Sicily), August 17 to August 31, 1975.

This book is focused on the nonlinear theoretical and mathematical problems associated with ultrafast intense laser pulse propagation in gases and in particular, in air.

N atur non facit saltus?

Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics.

Scientists in optics are increasingly confronted with problems that are of a random nature and that require a working knowledge of probability and statistics for their solution.

This thesis presents valuable contributions to several aspects of the rapidly growing field of gravitational wave astrophysics.

This book is a liber amicorum to Professor Sergei Konstantinovich Godunov and gathers contributions by renowned scientists in honor of his 90th birthday.

This contributed volume is based on talks given at the August 2016 summer school "e;Fluids Under Pressure,"e; held in Prague as part of the "e;Prague-Sum"e; series.

This new edition of a well-received textbook provides a concise introduction to both the theoretical and experimental aspects of quantum information at the graduate level.

This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory.

The birth of a completely new branch of observational astronomy is a rare and exciting occurrence.

Seldom does a physical system, particularly one as apparently simple as the flow of a Newtonian fluid between concentric rotating cylinders, retain the interest of scientists, applied mathematicians and engineers for very long.

Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi.

This volume entitled "e;TRANSAERO - A European Initiative on Transient Aerodynamics for Railway System Optimisation"e; contains the results of the contributors during the project th symposium which took place in Paris, France, on 4th and 5 May 1999 hosted by the International Union of Railways, UIC.

This volume collects the papers given at the European Workshop "e;Theoretical and Experimental Investigations of Hadronic Few-Body Systems"e; which, adhering to an invitation of the European Few-Body- Physics Research Committee, was organized in Rome on October 7-11, 1986.

"e;Potential Theory in Applied Geophysics"e; introduces the principles of gravitational, magnetic, electrostatic, direct current electrical and electromagnetic fields, with detailed solutions of Laplace and electromagnetic wave equations by the method of separation of variables.

This book is an introduction to the theory of interacting higher spin gauge fields.

This book presents frontier research on the use of computational methods to model complex interactions in economics and finance.

This book is concerned with the sport of soaring, mainly with the mathematical basis of sailplane design and operation.

Green's Functions and Linear Differential Equations: Theory, Applications, and Computation presents a variety of methods to solve linear ordinary differential equations (ODEs) and partial differential equations (PDEs).

The purpose of this book is to provide the reader with a comprehensive introduction to the applications of symmetry analysis to ordinary and partial differential equations.

This book is a very comprehensive textbook covering in great depth all the electricity and magnetism.

Riemannian Topology and Geometric Structures on Manifolds results from a similarly entitled conference held at the University of New Mexico in Albuquerque.