Mathematical physics

Fractals in Physics

This primer offers a concise introduction to Loop Quantum Gravity (LQG) - a theoretical framework for uniting Quantum Mechanics (QM) with General Relativity (GR).

This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras.

The book answers long-standing questions on scientific modeling andinference across multiple perspectives and disciplines, including logic,mathematics, physics and medicine.

This book discusses some of the open questions addressed by researchers in general relativity.

This volume of High Performance Computing in Science and Engineering is fully dedicated to the final report of KONWIHR, the Bavarian Competence Network for Technical and Scientific High Performance Computing.

This thesis sheds important new light on the puzzling properties of Strontium Ruthenate.

This book offers the reader a journey through the counterintuitive nature of Brownian motion under confinement.

Throughout the history of economics, a variety of analytical tools have been borrowed from the so-called exact sciences.

So far as the laws of mathematics refer to reality, they are not certain.

Markov processes play an important role in the study of probability theory.

This book aims to provide an overview of several topics in advanced differential geometry and Lie group theory, all of them stemming from mathematical problems in supersymmetric physical theories.

The main motivation for such lecture notes is the importance of the concept and mechanism of spontaneous symmetry breaking in modern theoretical physics and the relevance of a textbook exposition at the graduate student level beyond the oversimpli?

he problem of analyzing sequences of images to extract three-dimensional T motion and structure has been at the heart of the research in computer vi- sion for many years.

The Russian edition of this book appeared 5 years ago.

Die Kinetik schließt das dreibändige Lehrbuch der Technischen Mechanik ab.

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete).

The author introduces the concept that superconductivity can establish a perfect formalism of electricity and magnetism.

This monograph presents a new model of mathematical structures called weak n-categories.

This book provides a panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity.

Discusses the use of manipulators on satellites and the dynamics of satellites carrying robotic manipulators and of planetary rovers.

This book presents methodologies for analysing large data sets produced by the direct numerical simulation (DNS) of turbulence and combustion.

This book describes, as simply as possible, the mechanisms of scattering (both elastic and inelastic) of electrons with solid targets (electron-atom, electron-plasmon, and electron-phonon interactions).

The four-week period fran May 20 to June 16, 1984 was an intensive period of advanced study on the foundations and frontiers of nonequili- brium statistical physics (NSP).

This book provides a concise yet rigorous introduction to probability theory.

V VII X Table of Contents Table of Contents XI XII Table of Contents A.

With each methodology treated in its own chapter, this monograph is a thorough exploration of several theories that can be used to find explicit formulas for heat kernels for both elliptic and sub-elliptic operators.

Soliton theory is an important branch of applied mathematics and mathematical physics.

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

This book provides a short and concise introduction to Bayesian optimization specifically for experimental and computational materials scientists.

There is convergent consensus among scientists that many social, economic and ?

This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding.

This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds.

This book contains the most important formulas and more than 140 completely solved problems from Mechanics of Materials and Hydrostatics.

This book gathers selected papers presented at the conference of the Forum for Interdisciplinary Mathematics (FIM), held at Palau Macaya, Barcelona, on 18 to 20 November, 2015.

This book presents an in-depth systematic investigation of a dissipative effect which manifests itself as the growth of hydrodynamic stability and suppression of turbulence in relaxing molecular gas flows.

Earlier in this century, many philosophers of science (for example, Rudolf Carnap) drew a fairly sharp distinction between theory and observation, between theoretical terms like 'mass' and 'electron', and observation terms like 'measures three meters in length' and 'is _2(deg) Celsius'.

Comprehensive textbook prioritising physical ideas over mathematical detail.

Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem to be most interesting and important now and are likely to influence future directions.

This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions.

The twentieth century witnessed the birth of revolutionary ideas in the phys- ical sciences.

The theory, observations, and applications ofgravitational lensingconstitute one ofthe most rapidly growing branches ofextragalactic astrophysics.

In this book, the author addresses selected topics in quantum mechanics that are not usually covered in books, but which are very helpful in developing a student's interest in, and a deeper understanding of the subject.

Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community.

Chaos occurs widely in both natural and man-made systems.

The volume presents a comprehensive overview of rotation effects on fluid behavior, emphasizing non-linear processes.