Mathematical physics

This monograph considers engineering systems with random parame- ters.

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.

"e;Introduction to Modern Number Theory"e; surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory.

This book covers the advanced mathematical techniques useful for physics and engineering students, presented in a form accessible to physics students, avoiding precise mathematical jargon and laborious proofs.

Dieser Fortsetzungsband der Mathematik 1 wendet sich an Physikstudenten im zweiten Semester.

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 is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences.

The monograph discusses models of synthetic protocells, which are cell-like structures obtained from non-living matter endowed with some rudimentary kind of metabolism and genetics, but much simpler than biological cells.

The main theme of the meeting was to illustrate the use of stochastic processes in the study of topological problems in quantum physics and statistical mechanics.

This book presents the iterative beauty of fractals and fractal functions graphically with the aid of MATLAB programming.

This book convenes peer-reviewed, selected papers presented at the Tenth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Saints Constantine and Helena, Bulgaria, July 17-20, 2023.

This book offers a collection of original peer-reviewed contributions presented at the 8th International Congress on Design and Modeling of Mechanical Systems (CMSM'2019), held in Hammamet, Tunisia, from the 18th to the 20th of March 2019.

Translation of an influential book on exactly solvable models of many-body physics for graduate students and researchers in physics.

Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book.

The book deals with applications of the AdS/CFT correspondence to strongly coupled condensed matter systems.

The International Congress on Mathematical Physics is a major conference in its field that attracts a very wide spectrum of researchers.

In this book we gather recent mathematical developments and engineering applications of Trefftz methods, with particular emphasis on the Method of Fundamental Solutions (MFS).

Differential equations are often used in mathematical models for technological processes or devices.

Die Behandlung von Problemen der Theoretischen Physik umfaßt die Modellbildung, die mit Mitteln der analytischen Mathematik durchgeführte Vorarbeit sowie die numerische Modellierung.

This book deals in a basic and systematic manner with the fundamentals of random function theory and looks at some aspects related to arrival, vehicle headway and operational speed processes at the same time.

Quantum Simulations of Materials and Biological Systems features contributions from leading world experts in the fields of density functional theory (DFT) and its applications to material and biological systems.

This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs).

This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations.

This molecular dynamics textbook takes the reader from classical mechanics to quantum mechanics and vice versa, and from few-body systems to many-body systems.

Methods in Computational Physics, Volume 15: Vibrational Properties of Solids explores the application of computational methods to delineate microscopic vibrational behavior.

Differential Geometry offers a concise introduction to some basic notions of modern differential geometry and their applications to solid mechanics and physics.

Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians.

Ring polymers are one of the last big mysteries in polymer physics, and this thesis tackles the problem of describing their behaviour when interacting in dense solutions and with complex environments and reports key findings that help shed light on these complex issues.

This book contains contributions from the Spanish Relativity Meeting, ERE 2012, held in Guimaraes, Portugal, September 2012.

This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators.

This volume contains nine refereed research papers in various areas from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme.

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject.

This volume will be the first reference book devoted specially to the Yang-Baxter equation.

Econophysics and Financial Economics provides the first extensive analytic comparison between models and results from econophysics and financial economics in an accessible and common vocabulary.

Dive into the fascinating world of Digital Twins, Simulation, and the Metaverse, where the virtual/digital and physical worlds collide and reshape industries.

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

This monograph discusses recent advances in ergodic theory and dynamical systems.

This book is devoted to some recently developed techniques in quantum field theory (QFT), as well as to their main applications to different areas of parti- cle physics.

Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics.

Energy exchange is a major foundation of the dynamics of physical systems, and, hence, in the study of complex multi-domain systems, methodologies that explicitly describe the topology of energy exchanges are instrumental in structuring the modeling and the computation of the system's dynamics and its control.

Computer Simulation Studies in Condensed-Matter Physics VII provides a broad overview of recent developments.

Interactive Particle Systems is a branch of Probability Theory with close connections to Mathematical Physics and Mathematical Biology.

This book is devoted to research in the actual field of mathematical modeling in modern problems of plasma physics associated with vibrations and wake waves excited by a short high-power laser pulse.

This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves.

The almost irresistible beauty of string theory has seduced many theoretical physicists in recent years.