Mathematical physics

For seventy years, we have known that Einstein's theory is essentially a theory of propagation of waves for the gravitational field.

This book collects a selection of papers presented at ELECTRIMACS 2019 - The 13th international conference of the IMACS TC1 Committee, held in Salerno, Italy, on 21st-23rd May 2019.

Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled "e;Geometric mechanics - variational and stochastic methods"e; run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Federale de Lausanne.

This book describes the revolutionary capabilities of new shock fitting algorithms; a great improvement in computational fluid dynamics (CFD) for high-speed numerical simulations.

This volume offers a fundamentally different way of conceptualizing time and reality.

The author approaches an old classic problem - the existence of solutions of Navier-Stokes equations.

This book highlights the latest advances in stochastic processes, probability theory, mathematical statistics, engineering mathematics and algebraic structures, focusing on mathematical models, structures, concepts, problems and computational methods and algorithms important in modern technology, engineering and natural sciences applications.

Physics is that branch of science, which deals with natural phenomena, and physical properties of matter and their relations with other bodies.

Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.

This book describes signal propagation in single-mode optical fibres for telecommunication applications.

The problems of conditional optimization of the uniform (or C-) norm for polynomials and rational functions arise in various branches of science and technology.

The extensive application of modern mathematical teehniques to theoretical and mathematical physics requires a fresh approach to the course of equations of mathematical physics.

This volume contains the lectures and contributions presented at the International Symposium on Temporal Order held in Bremen, September 17-22, 1984.

This volume provides a detailed description of the seminal theoretical construction in 1964, independently by Robert Brout and Francois Englert, and by Peter W.

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.

A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second EditionThe long-anticipated revision of this well-liked textbook offers many new additions.

This is a comprehensive survey on the research on the parabolic Anderson model - the heat equation with random potential or the random walk in random potential - of the years 1990 - 2015.

This thesis tackles fundamental questions concerning the discharge of a pre-Pyrenean karst aquifer system and an Antarctic glacier system, utilizing a system engineering methodology and data-driven approach.

This book focuses on recent developments in the theory of vertex algebras, with particular emphasis on affine vertex algebras, affine W-algebras, and W-algebras appearing in physical theories such as logarithmic conformal field theory.

Twelve problems have been added to the first edition; four of them are supplements to problems in the first edition.

The revised edition of this advanced textbook provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics.

Das Buch gibt einen Querschnitt durch das Spektrum der Anwendungen der Computergraphik in Mathematik und Naturwissenschaften.

Published under the auspices of the Royal Astronomical Society, this volume contains a set of extensive school tested lectures, with the aim to give a coherent and thorough background knowledge of the subject and to introduce the latest developments in N-body computational astrophysics.

This book convenes and deepens generic results about spectral measures, many of them available so far in scattered literature.

Martin Oliver Steinhauser deals with several aspects of multiscale materials modeling and simulation in applied materials research and fundamental science.

The main themes.

This accessible volume provides a modern treatment of the cosmological and string-theoretic background necessary to understand inflation in string theory.

This thesis presents a revolutionary technique for modelling the dynamics of a quantum system that is strongly coupled to its immediate environment.

This book provides the rigorous mathematical foundations of Quantum Physics, from the operational meaning of the measuring process to the most recent theories for the quantum scale of space-time geometry.

This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Lukasiewicz infinite-valued logic.

This volume explores a number of exciting developments in the field of nonlinear dispersive waves with a particular focus on waves arising in the ocean.

This book presents a new approach to learning the dynamics of particles and rigid bodies at an intermediate to advanced level.

The topic of the 2010 Abel Symposium, hosted at the Norwegian Academy of Science and Letters, Oslo, was Nonlinear Partial Differential Equations, the study of which is of fundamental importance in mathematics and in almost all of natural sciences, economics, and engineering.

In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures, given in the majority of cases by Poisson brackets.

Mathematical Modelling sets out the general principles of mathematical modelling as a means comprehending the world.

A majority of mathematics textbooks are written in a rigorous, concise, dry, and boring way.

This book is based on three undergraduate and postgraduate courses taught by the author on Matrix theory, Probability theory and Antenna theory over the past several years.

In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in three-dimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexity---including knotting---on the large scale.

This book compactly provides the fundamentals of experimental physics for students of the natural sciences who are taking physics as a minor or major subject.

Dieses Lehrbuch bietet Studierenden der ersten Semester eine Einführung in die Theoretische Physik sowie die dazu erforderlichen mathematischen Werkzeuge.

The first edition of this book was published in 1994.

This volume provides the first self-contained treatment of the structure, stability and oscillations of rotating neutron stars.

This book discusses the design of new space missions and their use for a better understanding of the dynamical behaviour of solar system bodies, which is an active field of astrodynamics.

Jonas Pohl liefert eine didaktisch aufbereitete Einführung in die Gedankenwelt der Allgemeinen Relativitätstheorie.

The discovery of quantum mechanics in the years 1925-1930 necessitated the consideration of associating ordinary functions with non-commuting operators.

Special relativity and quantum mechanics are likely to remain the two most important languages in physics for many years to come.