Mathematical physics

Density functional theory (DFT) is by now a well-established method for tackling the quantum mechanics of many-body systems.

Quantum maps are presented with special emphasis on their physical origin.

The present volume contains the expanded lectures of a meeting on relativistic astrophysics, the goal of which was to provide a modern introduction to specific aspects of the field for young researchers, as well as for nonspecialists from related areas.

In the second part of the 20th century, algebraic methods have emerged as a powerful tool to study theories of physical phenomena, especially those of quantal systems.

This book contains review articles of most of the topics addressed at the conf- ence on Simulations of Magnetohydrodynamic turbulence in astrophysics: recent achievements and perspectives which took place from July 2 to 6, 2001 at the Institut Henri Poincar'e in Paris.

The aim of this book is twofold: to provide an introduction for newcomers to state of the art computer simulation techniques in space plasma physics and an overview of current developments.

The year 2004 was a remarkable one for the growing ?

Mathematics develops both due to demands of other sciences and due to its internal logic.

This book presents a broad survey of models for critical and catastrophic phenomena in the geosciences, with strong emphasis on earthquakes.

After a century of successes, physicists still feel the need to probe the limits of the validity of theories based on special relativity.

At the QMath9 meeting, young scientists learn about the state of the art in the mathematical physics of quantum systems.

The general theory of relativity, as formulated by Albert Einstein in 1915, provided an astoundingly original perspective on the physical nature of gr- itation, showing that it could be understood as a feature of a curvature in the four-dimensional continuum of space-time.

Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical problems described by Hamiltonian systems.

A mathematically consistent formulation of relativistic quantum electrodynamics (QED) has still to be found.

Since the late 1980s, Toeplitz operators and matrices have remained a ?

Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium is a paradigmatic case of emergent behaviour associated with complex systems.

Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors.

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The present third edition of The Statistical Mechanics of Financial Markets is published only four years after the ?

This volume gathers selected papers presented at the ICMSQUARE 2023 - 12th International Conference on Mathematical Modeling in Physical Sciences held in Belgrade, Serbia from August 28-31, 2023.

This book uses new mathematical tools to examine broad computability and complexity questions in enumerative combinatorics, with applications to other areas of mathematics, theoretical computer science, and physics.

This book comprehensively describes recent developments in the research of renormalizable quantum gravity, focusing on its application to physics beyond the Planck scale, particularly in inflationary cosmology.

The aim of this text is to provide an account of the fundamentals of thermodynamics which is accessible at graduate level to physicists, mathematicians and philosophers of physics.

Navigating the realm where physics intersects with programming, this book serves as an indispensable guide for students embarking on their journey with Julia.

This textbook is a comprehensive overview of the construction, implementation, and application of important numerical methods for the solution of Initial Value Problems (IVPs).

Part of my lecturing work in the School of Mathematics at the University of Leeds involved teaching quantum mechanics and statistical mechanics to mathematics undergraduates, and also mathematical methods to undergraduate students in the School of Electronic and Electrical Engineering at the University.

Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down a planar inclined substrate.

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Aimed primarily at graduate students and researchers, this text is a comprehensive course in modern probability theory and its measure-theoretical foundations.

This book provides an introduction to the ideas and methods of linear fu- tional analysis at a level appropriate to the ?

This book presents peer-reviewed articles from the 1st International Conference on Sustainability and Emerging Technologies for Smart Manufacturing (SETSM 2024) held on 27-28 April at Hanoi in Vietnam.

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

Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right.

Based on a course given at Oxford over many years, this book is a short and concise exposition of the central ideas of general relativity.

Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2.

Mobile robotics has until now focused on issues like design of controllers and robot hardware.

Since the last century, the postulational method and an abstract point of view have played a vital role in the development of modern mathematics.