Mathematical physics

In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study.

Der schnelle und präzise Zugriff auf Daten und Fakten der Mathematik für Ingenieure, Informatiker, Naturwissenschaftler und Wirtschaftswissenschaftler.

This book presents improved numerical techniques and applied computer-aided simulations as a part of emerging trends in mechatronics in all areas related to complex fluids, with particular focus on using a combination of modeling, theory, and simulation to study systems that are complex due to the rheology of fluids (i.

This book describes the direct and inverse problems of the multidimensional Schrodinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues.

Nonlinear Dispersive Equations are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose-Einstein condensates.

This book employs computer simulations of 'artificial' Universes to investigate the properties of two popular alternatives to the standard candidates for dark matter (DM) and dark energy (DE).

The first six chapters of this volume present the author's 'predictive' or information theoretic' approach to statistical mechanics, in which the basic probability distributions over microstates are obtained as distributions of maximum entropy (Le.

Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.

A Guide to the Evaluation of IntegralsSpecial Integrals of Gradshetyn and Ryzhik: The Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.

This book presents an alternative representation of Einstein's Special Theory of Relativity, which makes Special Relativity much more comprehensible.

This advanced course, a sequel to the first volume of this lecture series on topos quantum theory, delves deeper into the theory, addressing further technical aspects and recent advances.

Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear partial differential equations (PDEs).

One of the first books to thoroughly examine the subject, Quantum Computing Devices: Principles, Designs, and Analysis covers the essential components in the design of a "e;real"e; quantum computer.

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

Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics.

This volume comprises the carefully revised papers of the 9th IUTAM Symposium on Laminar-Turbulent Transition, held at the Imperial College, London, UK, in September 2019.

An asymptotic expansion is a series that provides a sequence of increasingly accurate approximations to a function in a particular limit.

Over the last decade, spin glass theory has turned from a fascinating part of t- oretical physics to a ?

The role the Handbook of Computational Chemistry is threefold.

The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions.

Riemannian geometry is characterized, and research is oriented towards and shaped by concepts (geodesics, connections, curvature,.

This thesis describes the development of biophysically detailed computer models of the human atria and torso to study the underlying mechanisms of cardiac diseases, some of the most common causes of morbidity and mortality.

Framework for understanding the resilience, cascading failures and critical phenomena of spatial networks using percolation theory.

With this book, Elliott Lieb joins his peers Hermann Weyl and Chen Ning Yang.

The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians.

This work addresses the gap in the current collective action literature exposed by the new Information and Communication Technologies (ICTs) landscape by bringing together qualitative and quantitative studies from computational and social sciences.

Neural and Synergetic Computers deals with basic aspect ofthis rapidly developing field.

This book introduces readers to the lattice Boltzmann method (LBM) for solving transport phenomena - flow, heat and mass transfer - in a systematic way.

This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory.

This book deals with horizontal-axis wind turbine aerodynamic performance prediction methods.

The physics of semiconductors has seen an enormous evolution within the last ?

It is ironic that the ideas ofNewton, which described a beam of light as a stream ofparticles made it difficult for him to explain things like thin film interference.

This book is the very first one in the English language entirely dedicated to the Lambert W function, its generalizations, and its applications.

This book is a product of the experience of the authors in teaching partial differential equations to students of mathematics, physics, and engineering over a period of 20 years.

Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve.

Preface to the First Edition This textbook is an introduction to Scienti?

Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium is a paradigmatic case of emergent behaviour associated with complex systems.

Das Buch beschäftigt sich mit der Ermittlung der Kraft- und Verformungszustände von allgemeinen statisch bestimmten Stabtragwerken sowie von wichtigen Tragwerkstypen.

This book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory.

Coherent states (CS) were originally introduced in 1926 by Schrodinger and rediscovered in the early 1960s in the context of laser physics.

These course-tested lectures provide a technical introduction to Supersymmetric Grand Unified Theories (SUSY GUTs), as well as a personal view on the topic by one of the pioneers in the field.

This volume contains a selection from the papers presented at the Fourth European Multigrid Conference, held in Amsterdam, July 6-9,1993.

This book treats the subject of gravitational waves (GWs) production in binary stars or black-holes and in the early universe, using tools of quantum field theory which are familiar to graduate students and researchers in particle physics.

The textbook, first published in 2007, provides a simple, practical introduction to supersymmetry for graduates and researchers.

This volume presents peer-reviewed surveys on new developments in the study of Lyapunov exponents in dynamical systems and its applications to other areas, such as mathematical physics.

Due to its extraordinary predictive power and the great generality of its mathematical structure, quantum theory is able, at least in principle, to describe all the microscopic and macroscopic properties of the physical world, from the subatomic to the cosmological level.