Mathematical physics

This book is the second volume of proceedings of the 8th conference on "e;Finite Volumes for Complex Applications"e; (Lille, June 2017).

This dictionary includes a number of mathematical, statistical and computing terms and their definitions to assist geoscientists and provide guidance on the methods and terminology encountered in the literature.

This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous.

This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas.

This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations.

This short primer, geared towards students with a strong interest in mathematically rigorous approaches, introduces the essentials of classical physics, briefly points out its place in the history of physics and its relation to modern physics, and explains what benefits can be gained from a mathematical perspective.

This book presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept.

This book introduces readers to MesoBioNano (MBN) Explorer - a multi-purpose software package designed to model molecular systems at various levels of size and complexity.

This book focuses on the analysis and design of advanced techniques for on-line automatic computational monitoring of pipelines and pipe networks.

This book addresses the control of electronic properties of carbon nanotubes.

This book comprehensively presents the basic concepts of probability and Bayesian inference with sufficient generality to make them applicable to current problems in scientific research.

This book addresses students and young researchers who want to learn to use numerical modeling to solve problems in geodynamics.

The latest of five multidisciplinary volumes, this book spans the STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) disciplines with the intent to generate meaningful interdisciplinary interaction and student interest.

This book brings together the recent cutting-edge work on computational methods in photonics and their applications.

This authored monograph provides a detailed discussion of the boundary layer flow due to a moving plate.

This book presents an in-depth systematic investigation of a dissipative effect which manifests itself as the growth of hydrodynamic stability and suppression of turbulence in relaxing molecular gas flows.

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 book covers polarization, alignment, and orientation effects in atomic collisions induced by electron, heavy particle, or photon impact.

Top researchers in the field of gravitation present the state-of-the-art topics outlined in this book, ranging from the stability of rotating wormholes solutions supported by ghost scalar fields, modified gravity applied to wormholes, the study of novel semi-classical and nonlinear energy conditions, to the applications of quantum effects and the superluminal version of the warp drive in modified spacetime.

This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators.

Collating different aspects of Vector-valued Partial Differential Equations and Applications, this volume is based on the 2013 CIME Course with the same name which took place at Cetraro, Italy, under the scientific direction of John Ball and Paolo Marcellini.

This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications.

The lectures in this book provide graduate students and non-specialist researchers with a concise introduction to the concepts and formalism required to reduce the ten-dimensional string theories to the observable four-dimensional space-time - a procedure called string compactification.

In this book the dynamics of the non-ideal oscillatory system, in which the excitation is influenced by the response of the oscillator, is presented.

The Zamolodchikov c-theorem has led to important new insights in the understanding of the Renormalisation Group (RG) and the geometry of the space of QFTs.

The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature.

At the heart of this book is the generalized theoretical approach that is applied to investigate the geoelectrical structure of the Earth's mantle.

This third edition text provides expanded material on the restricted three body problem and celestial mechanics.

This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse.

This monograph comprehensively describes phenomena of heat flow during phase change as well as the dynamics of liquid solidification, i.

This graduate-level text collects and synthesizes a series of ten lectures on the nuclear quantum many-body problem.

This book provides an overview of the main approaches used to analyze the dynamics of cellular automata.

This book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems.

Here is an accurate and readable translation of a seminal article by Henri Poincare that is a classic in the study of dynamical systems popularly called chaos theory.

This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Bedlewo, Poland in September 2015.

This book provides a comprehensive overview of developments in the field of holographic entanglement entropy.

This book presents the Green's function formalism in a basic way and demonstrates its usefulness for applications to several well-known problems in classical physics which are usually solved not by this formalism but other approaches.

This landmark monograph presents the most recent mathematical developments in the analysis of ionospheric distortions of SAR images and offers innovative new strategies for their mitigation.

The book collects the most relevant results from the INdAM Workshop "e;Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics"e; held in Rome, September 14-18, 2015.

This monograph provides the fundamentals of dimensional analysis and illustrates the method by numerous examples for a wide spectrum of applications in engineering.

This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observation, modeling and computation are strongly interdependent.

This book tackles the challenging question which mathematical formalisms and possibly new physical notions should be developed for quantitatively describing human cognition and behavior, in addition to the ones already developed in the physical and cognitive sciences.

This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years.

This book is the second of a two volume series.

This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder.

This course-based primer offers readers a concise introduction to the description of quantum mechanical systems with infinitely many degrees of freedom - and quantum spin systems in particular - using the operator algebraic approach.

This book is intended as a text for a one-semester course on Mathematical and Computational Neuroscience for upper-level undergraduate and beginning graduate students of mathematics, the natural sciences, engineering, or computer science.

This thesis presents the first isotope-shift measurement of bound-electron g-factors of highly charged ions and determines the most precise value of the electron mass in atomic mass units, which exceeds the value in the literature by a factor of 13.

Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular emphasis on the localization phenomenon.

This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics.