Mathematical physics

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.

This is the second edition of a well-received book that is a modern, self-contained introduction to the theory of gravitational interactions.

The first part of this volume gathers the lecture notes of the courses of the "e;XVII Escuela Hispano-Francesa"e;, held in Gijon, Spain, in June 2016.

This thesis focuses on the study and characterization of entanglement and nonlocal correlations constrained under symmetries.

This book explores the rise of theoretical physics in 19th century Germany.

This book presents a detailed study of a system of interacting Brownian motions in one dimension.

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra.

This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016.

This textbook teaches classical mechanics as one of the foundations of physics.

This book describes the interaction of living matter with photons, neutrons, charged particles, electrons and ions.

In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in three-dimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexity---including knotting---on the large scale.

This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems.

This book presents the theory of waves propagation in a fluid-saturated porous medium (a Biot medium) and its application in Applied Geophysics.

The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers.

This thesis addresses elementary dislocation processes occurring in single-crystalline alloys based on Fe-Al, and investigates correspondences between dislocation distribution inside crystals characterized by transmission electron microscopy (TEM) and surface patterns observed using atomic force microscopy (AFM).

Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations.

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

This book is designed to make accessible to nonspecialists the still evolving concepts of quantum mechanics and the terminology in which these are expressed.

This book acts as a manual for the ancient methods of navigating by the stars, which continue to provide the sailor or pilot with a timeless means of determining location.

This concise textbook offers a clear and comprehensive introduction to thermodynamics, one of the core components of undergraduate physics courses.

One of the most important routes to chaos is the chaotic intermittency.

This book collects contributions to the XXIII international conference "e;Nonlinear dynamics of electronic systems"e;.

This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces.

This book presents the state-of-the-art in supercomputer simulation.

This new edition presents a thorough discussion of the mathematical theory and computational schemes of Kalman filtering.

This book explores combinatorial problems and insights in quantum field theory.

This new edition describes all the mechanisms of elastic and inelastic scattering of electrons with the atoms of the target as simple as possible.

Presenting the dynamic laws of economic quantities, this book tackles one of the core difficulties of current economic theory: that of transforming abstract equations of equilibrium into precise dynamic rules.

Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems.

This thesis discusses the random Euclidean bipartite matching problem, i.

This book offers a new approach to interpreting the geodetic boundary value problem, successfully obtaining the solutions of the Molodensky and Stokes boundary value problems (BVPs) with the help of downward continuation (DC) based methods.

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).

This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory.

Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions.

These lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries.

This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group.

This textbook presents numerical solution techniques for incompressible turbulent flows that occur in a variety of scientific and engineering settings including aerodynamics of ground-based vehicles and low-speed aircraft, fluid flows in energy systems, atmospheric flows, and biological flows.

This thesis presents a study of strong stratification and turbulence collapse in the planetary boundary layer, opening a new avenue in this field.

This book explains the group representation theory for quantum theory in the language of quantum theory.

This thesis details significant improvements in the understanding of the nuclear EMC effect and nuclear shadowing in neutrino physics, and makes substantial comparisons with electron scattering physics.

This book offers an essential introduction to the mathematical theory of compressible viscous fluids.

This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums.