Mathematical physics

This monograph provides a systematic study of asymptotic models of continuum mechanics for composite structures, which are either dilute (for example, two-phase composite structures with small inclusions) or densely packed (in this case inclusions may be close to touching).

This invaluable book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems in many different fields.

This book is a set of introductory lecture notes on Conformal Field Theory (CFT).

This book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms.

This book presents thermal field theory techniques, which can be applied in both cosmology and the theoretical description of the QCD plasma generated in heavy-ion collision experiments.

This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics.

Dieser Titel bildet einen sicheren Einstieg in das Computeralgebrasystem Maple für Anwender zum Selbststudium, für Kurse an Schulen und Hochschulen sowie für den mathematisch-naturwissenschaftlichen Unterricht in der Sekundarstufe II.

Here is a comprehensive introduction to the least-squares finite element method (LSFEM) for numerical solution of PDEs.

The aim of this book is to give a unified and critical account of the fundamental aspects of liquid crystals.

This book provides a solution to the problem with the energy concept.

The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy.

The increasing power of computer resources along with great improvements in observational data in recent years have led to some remarkable and rapid advances in astrophysical fluid dynamics.

This book provides an introduction to topics in non-equilibrium quantum statistical physics for both mathematicians and theoretical physicists.

If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants?

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 textbook provides ample opportunities for practice and real experimental demonstrations.

This work presents invited contributions from the second "e;International Conference on Mathematics and Statistics"e; jointly organized by the AUS (American University of Sharjah) and the AMS (American Mathematical Society).

Nonextensive statistical mechanics is now a rapidly growing field and a new stream in the research of the foundations of statistical mechanics.

This book focuses on Erdelyi-Kober fractional calculus from a statistical perspective inspired by solar neutrino physics.

Supercritical pressure fluids have been exploited in many engineering fields, where binary mixtures are frequently encountered.

Physics, mathematics and chemistry all play a vital role in understanding the true nature and functioning of biological membranes, key elements of living processes.

The book compiles works presented at a seminar aiming to attract global experts in differential equations, mathematical modeling, and integration methods.

Chapter 1 The algebraic prerequisites for the book are covered here and in the appendix.

Both a comprehensive overview and a treatment at the appropriate level of detail, this textbook explains thermodynamics and generalizes the subject so it can be applied to small nano- or biosystems, arbitrarily far from or close to equilibrium.

The science of networks represented a substantial change in the way we see natural and technological phenomena.

Magnetohydrodynamics describes dynamics in electrically conductive fluids.

This primer is a collection of notes based on lectures that were originally given at IIT Madras (India) and at IFT Madrid (Spain).

In a rapidly evolving field such as computational physics, six years is an eternity.

This book presents a basic introduction to quantum mechanics.

Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive, discontinuous, and switching systems.

Most problems in science involve many scales in time and space.

This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments.

In 8 years after publication of the ?

Konrad Schobel aims to lay the foundations for a consequent algebraic geometric treatment of variable Separation, which is one of the oldest and most powerful methods to construct exact solutions for the fundamental equations in classical and quantum physics.

This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate.

This book illustrates a theory well suited to tracking codes, which the author has developed over the years.

In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures.

The development of high-order accurate numerical discretization techniques for irregular domains and meshes is often cited as one of the remaining chal- lenges facing the field of computational fluid dynamics.

The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra.

Density Functional Theory is a rapidly developing branch of many-particle physics that has found applications in atomic, molecular, solid-state and nuclear physics.

Energy and power are fundamental concepts in electromagnetism and circuit theory, as well as in optics, signal processing, power engineering, electrical machines, and power electronics.

Teil 2 dieses 2-bändigen Lehrbuchs gibt eine Einführung in Basiskonzepte der Quantenfeldtheorie, wie z.

This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics.

The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates.