Mathematical physics

James Clerk Maxwell (1831-1879) had a relatively brief, but remarkable life, lived in his beloved rural home of Glenlair, and variously in Edinburgh, Aberdeen, London and Cambridge.

James Clerk Maxwell (1831-1879) had a relatively brief, but remarkable life, lived in his beloved rural home of Glenlair, and variously in Edinburgh, Aberdeen, London and Cambridge.

This book is intended for graduate students in Physics.

This book is intended for graduate students in Physics.

This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics.

A series of seminal technological revolutions has led to a new generation of electronic devices miniaturized to such tiny scales where the strange laws of quantum physics come into play.

A series of seminal technological revolutions has led to a new generation of electronic devices miniaturized to such tiny scales where the strange laws of quantum physics come into play.

Computation and its Limits is an innovative cross-disciplinary investigation of the relationship between computing and physical reality.

This text presents the two complementary aspects of thermal physics as an integrated theory of the properties of matter.

Our understanding of the physical universe underwent a revolution in the early twentieth century - evolving from the classical physics of Newton, Galileo, and Maxwell to the modern physics of relativity and quantum mechanics.

Computation and its Limits is an innovative cross-disciplinary investigation of the relationship between computing and physical reality.

Our understanding of the physical universe underwent a revolution in the early twentieth century - evolving from the classical physics of Newton, Galileo, and Maxwell to the modern physics of relativity and quantum mechanics.

This text presents the two complementary aspects of thermal physics as an integrated theory of the properties of matter.

This book collects lecture courses and seminars given at the Les Houches Summer School 2010 on "e;Quantum Theory: From Small to Large Scales"e;.

The book is based on the lectures delivered at the XCIII Session of the Ecole de Physique des Houches, held in August, 2009.

In recent years, there has been much synergy between the exciting areas of quantum information science and ultracold atoms.

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics.

Most of the solid materials we use in everyday life, from plastics to cosmetic gels exist under a non-crystalline, amorphous form: they are glasses.

The book is based on the lectures delivered at the XCIII Session of the Ecole de Physique des Houches, held in August, 2009.

In recent years, there has been much synergy between the exciting areas of quantum information science and ultracold atoms.

This book deals with the analysis of the structure of complex networks by combining results from graph theory, physics, and pattern recognition.

This book deals with the analysis of the structure of complex networks by combining results from graph theory, physics, and pattern recognition.

The main goal of this work is to familiarize the reader with a tool, the path integral, that offers an alternative point of view on quantum mechanics, but more important, under a generalized form, has become the key to a deeper understanding of quantum field theory and its applications, which extend from particle physics to phase transitions or properties of quantum gases.

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.

The subject of this book is the Casimir effect, a manifestation of zero-point oscillations of the quantum vacuum resulting in forces acting between closely spaced bodies.

This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups.

This hands-on guide is primarily intended to be used in undergraduate laboratories in the physical sciences and engineering.

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.

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.