Mathematical physics

The goal of this third edition of Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering is the same as previous editions: to provide a good foundation - and a joyful experience - for anyone who'd like to learn about nonlinear dynamics and chaos from an applied perspective.

Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space.

Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century.

Given the widespread interest in macroscopic phenomena in liquid crystals, stemming from their applications in displays and devices.

The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world.

Separation of Variables for Partial Differential Equations: An Eigenfunction Approach includes many realistic applications beyond the usual model problems.

, Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems.

Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science.

Tremendous advances in computer technologies and methods have precipitated a great demand for refinements in the constitutive models of plasticity.

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.

The finite element method reigns as the dominant technique for modeling mechanical systems.

The increasing power of computer resources along with great improvements in observational data in recent years have led to some remarkable and rapid advances in astrophysical fluid dynamics.

Computer science and physics have been closely linked since the birth of modern computing.

Policy makers, mineral exploration experts, and regional planners decide how public lands, which may contain undiscovered resources, should be used or whether to invest in exploration for minerals on a regular basis.

Waves and oscillations permeate virtually every field of current physics research, are central to chemistry, and are essential to much of engineering.

The interplay between combinatorics and theoretical physics is a recent trend which appears to us as particularly natural, since the unfolding of new ideas in physics is often tied to the development of combinatorial methods, and, conversely, problems in combinatorics have been successfully tackled using methods inspired by theoretical physics.

Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane.

Recent advances in quantum technology - from quantum computers and simulators to secure communication and metrology - have not only opened up a whole new world of practical applications but also changed our understanding of quantum theory itself.

Incompressible Fluid Dynamics is a textbook for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysics.

Gauge Field theory in Natural Geometric Language addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics.

Black holes present one of the most fascinating predictions of Einstein's general theory of relativity.

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

Recent groundbreaking discoveries in physics, including the discovery of the Higgs Boson and gravitational waves, have relied on chi-squared analysis and model testing, a data analysis method.

The best parts of physics are the last topics that our students ever see.

Based on Fields medal winning work of Michael Freedman, this book explores the disc embedding theorem for 4-dimensional manifolds.

In this modern treatment of the topic, Rolland Trapp presents an accessible introduction to the topic of multivariable calculus, supplemented by the use of fully interactive three-dimensional graphics throughout the text.

This volume, 106 of the Les Houches Summer School series, brings together applications of integrability to supersymmetric gauge and string theory.

George Gabriel Stokes was one of the most important mathematical physicists of the 19th century.

This book proposes and develops the equilibrium compound nucleus post-fission theory, a powerful tool for studying the fission process and making numerical calculations of post-fission nuclear data.

This book is a comprehensive introduction to quantitative approaches to complex adaptive systems.

An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting.

George Gabriel Stokes was one of the most important mathematical physicists of the 19th century.

The marvellous complexity of the Universe emerges from several deep laws and a handful of fundamental constants that fix its shape, scale, and destiny.

The marvellous complexity of the Universe emerges from several deep laws and a handful of fundamental constants that fix its shape, scale, and destiny.

This graduate textbook on optimal spacecraft trajectories demonstrates the theory and applications of using the minimum amount of propellant possible to reach a target destination.

The science of networks represented a substantial change in the way we see natural and technological phenomena.

Flowing matter is all around us, from daily-life vital processes (breathing, blood circulation), to industrial, environmental, biological, and medical sciences.

Fluid Mechanics: A Geometrical Point of View emphasizes general principles of physics illustrated by simple examples in fluid mechanics.

An Introduction to Electrodynamics provides an excellent foundation for those undertaking a course on electrodynamics, providing an in-depth yet accessible treatment of topics covered in most undergraduate courses, but goes one step further to introduce advanced topics in applied physics, such as fusions plasmas, stellar magnetism and planetary dynamos.

The field of stochastic processes and Random Matrix Theory (RMT) has been a rapidly evolving subject during the last fifteen years.

This book presents an up-to-date formalism of non-equilibrium Green's functions covering different applications ranging from solid state physics, plasma physics, cold atoms in optical lattices up to relativistic transport and heavy ion collisions.

This book provides an introduction to the methods of coupled quantum statistical field theory and Green's functions.

An important task of theoretical quantum physics is the building of idealized mathematical models to describe the properties of quantum matter.

The standard starting point in cosmology is the cosmological principle; the assumption that the universe is spatially homogeneous and isotropic.

The standard starting point in cosmology is the cosmological principle; the assumption that the universe is spatially homogeneous and isotropic.

Hyperbolic Dynamics and Brownian Motion illustrates the interplay between distinct domains of mathematics.

This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors.

Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics.

Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics.