Mathematical physics

This book is placed at the interface between string theory and elementary particle physics and shows novel results in the search for a heterotic string vacuum that reproduces those matter particles and interactions observed in our universe.

This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick.

Through the previous three editions, Handbook of Differential Equations has proven an invaluable reference for anyone working within the field of mathematics, including academics, students, scientists, and professional engineers.

This book offers a modern way of dealing with the problems of equilibrium states of Bose systems.

This book is concerned with relativistic quantum field theory, especially QED, its most successful example.

This textbook provides a fast-track pathway to numerical implementation of phase-field modeling-a relatively new paradigm that has become the method of choice for modeling and simulation of microstructure evolution in materials.

This proceedings records the 31st International Colloquium on Group Theoretical Methods in Physics ("e;Group 31"e;).

A mathematically consistent formulation of relativistic quantum electrodynamics (QED) has still to be found.

This book provides a short, hands-on introduction to the science of complexity using simple computational models of natural complex systems-with models and exercises drawn from physics, chemistry, geology, and biology.

In this thought-provoking book Kuppers, an internationally renowned physicist, philosopher and theoretical biologist, addresses a number of science's deepest questions: Can physics advance to the origin of all things and explain the unique phenomena of life, time and history?

Econophysicists have recently been quite successful in modelling and analysing various financial systems like trading, banking, stock and other markets.

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This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use.

Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering.

Taking a conceptual approach to the subject, Concepts in Quantum Mechanics provides complete coverage of both basic and advanced topics.

Simple random walks - or equivalently, sums of independent random vari- ables - have long been a standard topic of probability theory and mathemat- ical physics.

Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical SystemsA Concise Introduction to Geometric Numerical Integration presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations.

This book investigates tropospheric delays, one of the main error sources in Global Navigation Satellite Systems (GNSS), and its impact plays a crucial role in near real-time weather forecasting.

Mechanics is one of the oldest and at the same time newest disciplines, in the sense that there are methods and principles developed first in mechanics but now widely used in almost all branches of physics: electrodynamics, quantum mechanics, classical and quantum field theory, special and general theory of relativity, etc.

The vulnerability of our civilization to earthquakes is rapidly growing, rais- ing earthquakes to the ranks of major threats faced by humankind.

This book provides an introduction to relativistic dissipative fluid dynamics, with particular emphasis on its derivation from microscopic transport theory.

A comprehensive, graduate-level textbook introducing quantum field theory, giving equal emphasis to operator and path integral formalisms.

Statt eines Vorwortes oder einer Einleitung sollen diesem Band nur kurze Vorbemerkungen vorangestellt werden.

Many of problems of the natural sciences lead to nonlinear partial differential equations.

Generally, spontaneous pattern formation phenomena are random and repetitive, whereas elaborate devices are the deterministic product of human design.

This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications.

This volume synthesizes the results of work carried out by several international teams of the SIROCO (Seismology for Rotation and Convection) collaboration.

This book aims to present some recent results on Prandtl equations and MHD boundary layer equations.

Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions.

Das Anliegen der Reihe Grundkurs: Theoretische Physik wurde bereits in den Vorworten zu den ersten drei Bänden formuliert.

Through several case study problems from industrial and scientific research laboratory applications, Mathematical and Experimental Modeling of Physical and Biological Processes provides students with a fundamental understanding of how mathematics is applied to problems in science and engineering.

Fractional calculus is used to model many real-life situations from science and engineering.

nen (die fast unverändert in moderne Lehrbücher der Analysis übernommen wurde) ermöglichten ihm nach seinen eigenen Worten, "in einer halben Vier­ telstunde" die Flächen beliebiger Figuren zu vergleichen.

The twelfth Advanced Study Institute (ASI) on Techniques and Con- cepts of High Energy Physics was held at the Hotel on the Cay in St.

This volume contains the invited contributions to the Spring 2012 seminar series at Virginia State University on Mathematical Sciences and Applications.

This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.

The aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos.

This book highlights the need for studying multi-state models analytically for understanding the physics of molecular processes.

This book provides an introduction to the theory of stochastic partial differential equations (SPDEs) of evolutionary type.

Deformations of elastic bodies are encountered in many areas in science, engineering and technology.

"e;Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media"e; presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractalproperties.

This brief offers a concise presentation of granular fluids from the point of view of non-equilibrium statistical physics.

Through the development of an exact path integral for use in transferring information from observations to a model of the observed system, the author provides a general framework for the discussion of model building and evaluation across disciplines.

The core content of even the most intricate intellectual edifices is often a simple fact or idea.

This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory.