Mathematical physics

In recent years, scientists have applied the principles of complex systems science to increasingly diverse fields.

This monograph, now in a thoroughly revised second edition, offers the latest research on random sets.

Three series of lectures were given at the 34th Probability Summer School in Saint-Flour (July 6-24, 2004), by the Professors Cerf, Lyons and Slade.

The workshop on "e;computational physics of transport and interfacial dynam- ics"e; was held in Dresden, Germany from February 25 to March 8,2002.

This thesis presents fundamental work that explains two mysteries concerning the trajectory of interplanetary spacecraft.

This book builds inviscid flow analysis from an undergraduate-level treatment of potential flow to the level required for research.

This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics.

Hydronamics of Explosion presents the research results for the problems of underwater explosions and contains a detailed analysis of the structure and the parameters of the wave fields generated by explosions of cord and spiral charges, a description of the formation mechanisms for a wide range of cumulative flows at underwater explosions near the free surface, and the relevant mathematical models.

This book addresses key conceptual issues relating to the modern scientific and engineering use of computer simulations.

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This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton's principle to continuous media.

Every age has characteristic inventions that change the world.

Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science.

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

Advances in Quantum Chemistry, Volume 88 presents the latest ongoing research at the forefront of Electronic structure theory.

This book highlights recent research advances in the area of turbulent flows from both industry and academia for applications in the area of Aerospace and Mechanical engineering.

At very low temperatures, a metal passes into the superconducting state.

This book contains a collection of papers presented at the 2nd Tbilisi Salerno Workshop on Mathematical Modeling  in March 2015.

This book introduces the application of computational homology for structural analysis of metallic glasses.

This contributed volume is inspired by the seminal discovery and identification of C60.

Quantum mechanics is one of the most fascinating elements of the physics curriculum, but its conceptual nuances and mathematical complexity can be daunting for beginning students.

This volume provides a general field-theoretical picture of critical phenomena and stochastic dynamics and helps readers develop a practical skill for calculations.

Auch die dritte, völlig überarbeitete Auflage der Statistischen Theorie der Wärme ist die für alle Studenten der Physik grundlegende Einführung in die statistische Mechanik und Thermodynamik.

The Fortran 2003 Handbook is a definitive and comprehensive guide to Fortran 2003 and its use.

Computer Aided Systems Theory (CAST) deals with the task of contributing to the creation and implementation of tools for the support of usual CAD tools for design and simulation by formal mathematical or logical means in modeling.

Blending control theory, mechanics, geometry and the calculus of variations, this book is a vital resource for graduates and researchers in engineering, mathematics and physics.

This book presents an introduction to Evolutionary Game Theory (EGT) which is an emerging field in the area of complex systems attracting the attention of researchers from disparate scientific communities.

This book investigates two possibilities for describing classical-mechanical physical systems along with their Hamiltonian dynamics in the framework of quantum mechanics.

This book highlights by careful documentation of developments what led to tracking the growth of deterministic disturbances inside the shear layer from receptivity to fully developed turbulent flow stages.

In this thesis, the author describes the development of a software framework to systematically construct a particular class of weakly coupled free fermionic heterotic string models, dubbed gauge models.

The chapters in this book deal with: Basic formulation of waveguide cavity resonator equations especially when the cross sections of the guides and resonators have arbitrary shapes.

This book is the second volume that provides an unique overview of the most recent and relevant contributions in the field of mathematical physics with a focus on the mathematical features of quantum mechanics.

W-symmetry is an extension of conformal symmetry in two dimensions.

This book introduces a mathematical theory for the interaction of oceanic surface gravity waves and oceanic currents.

In recent years, there has been a growing interest in applying neural networks to dynamic systems identification (modelling), prediction and control.

Conformal invariance has been a spectacularly successful tool in advancing our understanding of the two-dimensional phase transitions found in classical systems at equilibrium.

Introduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined: dynamical systems is the study of the behavior of physical systems that may be described by a set of nonlinear first-order ordinary differential equations in Euclidean space, whereas geometric mechanics explore similar systems that instead evolve on differentiable manifolds.

This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including: * limit theorems for sums of random variables* martingales* percolation* Markov chains and electrical networks* construction of stochastic processes* Poisson point process and infinite divisibility* large deviation principles and statistical physics* Brownian motion* stochastic integral and stochastic differential equations.

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The second edition of this book has been extensively revised so that readers can gain ready access to advanced topics of mathematical physics including the theory of analytic functions and continuous groups.

This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses.

Kinetic theory is the link between the non--equilibrium statistical mechanics of many particle systems and macroscopic or phenomenological physics.

Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arena.