Mathematical physics

Nonlinear elliptic problems play an increasingly important role in mathematics, science and engineering, creating an exciting interplay between the subjects.

Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc).

While systems at equilibrium are treated in a unified manner through the partition function formalism, the statistical physics of out-of-equilibrium systems covers a large variety of situations that are often without apparent connection.

Statistical Mechanics is the study of systems where the number of interacting particles becomes infinite.

Generalized dynamic thermoelasticity is a vital area of research in continuum mechanics, free of the classical paradox of infinite propagation speeds of thermal signals in Fourier-type heat conduction.

Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level.

This book provides the reader with a contemporary and comprehensive introduction to Quantum Mechanics.

Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin.

The theory of Riemann surfaces occupies a very special place in mathematics.

A dynamical system is called isochronous if it features in its phase space an open, fully-dimensional region where all its solutions are periodic in all its degrees of freedom with the same, fixed period.

This collection of selected papers presented at the 11th International Conference on Scientific Computing in Electrical Engineering (SCEE), held in St.

Quantum cohomology has its origins in symplectic geometry and algebraic geometry, but is deeply related to differential equations and integrable systems.

The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups.

This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics.

Quantum field theory is arguably the most far-reaching and beautiful physical theory ever constructed, with aspects more stringently tested and verified to greater precision than any other theory in physics.

In two volumes, this book presents a detailed, systematic treatment of electromagnetics with application to the propagation of transient electromagnetic fields (including ultrawideband signals and ultrashort pulses) in dispersive attenuative media.

This book presents important recent applied mathematics research on environmental problems and impacts due to climate change.

This primer begins with a brief introduction to the main ideas underlying Effective Field Theory (EFT) and describes how nuclear forces are obtained from first principles by introducing a Euclidean space-time lattice for chiral EFT.

This is the third volume in a four-part series on Fluid Dynamics: PART 1: Classical Fluid Dynamics PART 2: Asymptotic Problems of Fluid Dynamics PART 3: Boundary Layers PART 4: Hydrodynamic Stability Theory The series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field.

This book is aimed at students making the transition from a first course on general relativity to a specialized subfield.

Quantum Field Theory has become the universal language of most modern theoretical physics.

Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments in statistical mechanics, elementary particle theory, condensed matter physics and string theory.

Theoretical physics is a cornerstone of modern physics and provides a foundation for all modern quantitative science.

This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years.

This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years.

Nonlinear Time Series Analysis with R provides a practical guide to emerging empirical techniques allowing practitioners to diagnose whether highly fluctuating and random appearing data are most likely driven by random or deterministic dynamic forces.

This text explores how Clifford algebras and spinors have been sparking a collaboration and bridging a gap between Physics and Mathematics.

This book attempts to bridge in one step the enormous gap between introductory quantum mechanics and the research front of modern optics and scientific fields that make use of light.

Quantum mechanics forms the foundation of all modern physics, including atomic, nuclear, and molecular physics, the physics of the elementary particles, condensed matter physics.

In the last decade, there have been an increasing convergence of interest and methods between theoretical physics and fields as diverse as probability, machine learning, optimization and compressed sensing.

Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition, and a conceptual way to understand many high-level quantum phenomena.

This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs).

This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs).

This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs).

This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs).

The study of network theory is a highly interdisciplinary field, which has emerged as a major topic of interest in various disciplines ranging from physics and mathematics, to biology and sociology.

This book seeks to answer the question "e;What explains CPT invariance and the spin-statistics connection?

This book provides an in-depth study of the foundations of statistical energy analysis, with a focus on examining the statistical theory of sound and vibration.

This is an advanced textbook on the subject of turbulence, and is suitable for engineers, physical scientists and applied mathematicians.

This is an advanced textbook on the subject of turbulence, and is suitable for engineers, physical scientists and applied mathematicians.

As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given by the authors to graduate students at their departments and is thus classroom-tested to help beginners enter the field.

This book deals with an important class of many-body systems: those where the interaction potential decays slowly for large inter-particle distances; in particular, systems where the decay is slower than the inverse inter-particle distance raised to the dimension of the embedding space.

Generating random networks efficiently and accurately is an important challenge for practical applications, and an interesting question for theoretical study.

Applied Computational Physics is a graduate-level text stressing three essential elements: advanced programming techniques, numerical analysis, and physics.

We live in a world of networks, where everything is amazingly close to everything else.

This book provides a lively and visual introduction to Einstein's theory of relativity.

Professor Atiyah is one of the greatest living mathematicians and is renowned in the mathematical world.

This book provides an accessible introduction to loop quantum gravity and some of its applications, at a level suitable for undergraduate students and others with only a minimal knowledge of college level physics.

This book is about black holes, one of the most intriguing objects of modern theoretical physics and astrophysics.

The Physics of Quantum Mechanics aims to give students a good understanding of how quantum mechanics describes the material world.