Mathematical physics

This textbook provides an exposition of equilibrium thermodynamics and its applications to several areas of physics with particular attention to phase transitions and critical phenomena.

This selection of reviews and papers is intended to stimulate renewed reflection on the fundamental and practical aspects of probability in physics.

What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics?

Graduate students who wish to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics.

In this book we develop various mathematical models of information dynamics, I -dynamics (including the process of thinking), based on methods of classical and quantum physics.

Non-scalar variational problems appear in different fields.

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

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions.

This volume contains the proceedings of the Summer Program on Nonlinear Conservation Laws and Applications held at the IMA on July 13--31, 2009.

The most important thing is to write equations in a beautiful form and their success in applications is ensured.

Granular forms of common materials such as metals and ceramics, sands and soils, porous energetic materials (explosives, reactive mixtures), and foams exhibit interesting behaviors due to their heterogeneity and critical length scale, typically commensurate with the grain or pore size.

Mathematics is the language of physics and yet, mathematics is an enormous subject.

In the theory of splines, a function is approximated piece-wise by (usually cubic) polynomials.

Many facets of quantum chromodynamics (QCD) are relevant to the in-depth discussion of theoretical and experimental aspects of high-energy nucleus-nucleus collisions.

This book constructs a non-Bloch band theory and studies physics described by non-Hermitian Hamiltonian in terms of the theory proposed here.

This text presentsand studies the method of so called noncommuting variations in VariationalCalculus.

Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.

Theoretical physics deals with physical models.

This book, the first in a two-volume set, provides an introduction to the fundamentals of (mainly) non-relativistic quantum mechanics.

This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces.

This book contains select invited chapters on the latest research in numerical fluid dynamics and applications.

Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions.

Über dieses Buch Das vorliegende Lehrbuch ist aus einem Skriptum entstanden, das zwei Vorlesungen samt zugehöriger Proseminare über Mathematische Grundlagen für das Physikstudium an der Universität Wien während mehrerer Semester begleitete.

This advanced undergraduate textbook presents a new approach to teaching mathematical methods for scientists and engineers.

This book is a volume of the Springer Briefs in Mathematical Physics and serves as an introductory textbook on the theory of Macdonald polynomials.

This book offers a concise introduction to quantum field theory and functional integration for students of physics and mathematics.

This textbook presents mechatronics through an integrated approach covering instrumentation, circuits and electronics, computer-based data acquisition and analysis, analog and digital signal processing, sensors, actuators, digital logic circuits, microcontroller programming and interfacing.

The first objective of statistical mechanics is to explain the fundamental laws of thermodynamics from first principles based on the atomic structure of matter.

A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators.

A well-known and widely applied method of approximating the solutions of problems in mathematical physics is the method of difference schemes.

The book addresses a key question in topological field theory and logarithmic conformal field theory: In the case where the underlying modular category is not semisimple, topological field theory appears to suggest that mapping class groups do not only act on the spaces of chiral conformal blocks, which arise from the homomorphism functors in the category, but also act on the spaces that arise from the corresponding derived functors.

This monograph provides a comprehensive study of the Riemann problem for systems of conservation laws arising in continuum physics.

Resonances are ubiquitous in dynamical systems with many degrees of freedom.

Matthias Wurlpresents two essential steps to implement offline PET monitoring of proton dosedelivery at a clinical facility, namely the setting up of an accurate MonteCarlo model of the clinical beamline and the experimental validation ofpositron emitter production cross-sections.

Das Buch gibt neben der Einführung in die Theorie der Einteilchen-Wellengleichungen auch eine auf der Technik der kausalen Greenschen Funktionen (Propagatormethode) basierende Einführung in die Berechnung quantenelektrodynamischer Prozesse.

This book gathers outstanding papers on numerical modeling in Mechanical Engineering (Volume 2) as part of the 2-volume proceedings of the 5th International Conference on Numerical Modeling in Engineering (NME 2021), which was held in Ghent, Belgium, on August 23-24, 2022.

Covers two important aspects of group theory namely discrete groups and Lie groups.

This book contains 157 problems in classical electromagnetism, most of them new and original compared to those found in other textbooks.

Adding seven new chapters integrating modern approaches to dynamical systems theory, this revised second edition describes numerical approaches to the nonlinear theory of beams, plates and shells, with an emphasis to the elastic and thermoelastic features.

Given the problems of the environment in relation to the ever-growing civi- lization activities of man, it is not surprising that in recent years more and more related data have been collected, phenomena have been observed and concerns have been expressed.

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 2004 book presents the loop and spinfoam approach to quantum gravity, for graduates and researchers.

This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016.

Hydrogen can behave as an alkaline metal or a halogen and can react with nearly all elements of the periodic table.

Basierend auf Methoden der Intervallarithmetik stellt Thomas Paradowski einen neuartigen Algorithmus zur Bestimmung der Beobachtbarkeit nichtlinearer zeitkontinuierlicher Systeme vor.

The Second Edition of this systematic, comprehensive text is revised to include topics developed in the last decade.