Mathematical physics

This book reports on current challenges in bridge engineering faced by professionals around the globe, giving a special emphasis to recently developed techniques and methods for bridge design, construction and monitoring.

This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds.

Complex Systems are natural systems that science is unable to describe exhaustively.

Suitable for graduate students, this book develops quantum field theory in curved spacetime in a pedagogical style.

During the last decade, various powerful experimental tools have been developed, such as small angle X-ray and neutron scattering, X-ray and neutron reflection from interfaces, neutron spin-echo spectroscopy and quasi-elastic multiple light scattering and large scale computer simulations.

This thesis is devoted to the systematic study of non-local theories that respect Lorentz invariance and are devoid of new, unphysical degrees of freedom.

"e;Newton's Gravity"e; conveys the power of simple mathematics to tell the fundamental truth about nature.

Reviews our current understanding of the subject.

This 2nd edition lays out an updated version of the general theory of light propagation and imaging through Earth's turbulent atmosphere initially developed in the late '70s and '80s, with additional applications in the areas of laser communications and high-energy laser beam propagation.

In the framework of the geometric formulation of field theory, classical fields are represented by sections of fibred manifolds, and their dynamics is phrased in jet manifold terms.

This monograph presents a comprehensive treatment of analytical solutions to problems in the area of non-equilibrium evaporation and condensation processes.

This book provides an overview of state-of-the-art methods in computational engineering for modeling and simulation.

Biomateriomics is the holistic study of biological material systems.

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The summer school on Mathematics inspired by Biology was held at Martina Franca, Apulia, Italy in 1997.

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.

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).

More than a generation of German-speaking students around the world have worked their way to an understanding and appreciation of the power and beauty of modern theoretical physics-with mathematics, the most fundamental of sciences-using Walter Greiner's textbooks as their guide.

Scopo principale di questo libro è quello di esporre i fondamenti matematici della Meccanica Quantistica (non relativistica) in modo matematicamente rigoroso.

Hybrid Intelligent Systems summarizes the strengths and weaknesses of five intelligent technologies: fuzzy logic, genetic algorithms, case-based reasoning, neural networks and expert systems, reviewing the status and significance of research into their integration.

The most difficult computational problems nowadays are those of higher dimensions.

This book provides an in-depth and accessible description of special relativity and quantum mechanics which together form the foundation of 21st century physics.

Mathematicians often face the question to which extent mathematical models describe processes of the real world.

This textbook presents mathematical physics in its chronological order.

This book provides a well-balanced and comprehensive picture based on clear physics, solid mathematical formulation, and state-of-the-art useful numerical methods in deterministic, stochastic, deep neural network machine learning approaches for computer simulations of electromagnetic and transport processes in biology, microwave and optical wave devices, and nano-electronics.

R In the companion book (Continuum Mechanics Using Mathematica )to this volume, we explained the foundations of continuum mechanics and described some basic applications of ?

Lagrangian systems constitute a very important and old class in dynamics.

We could be on the threshold of a scientific revolution.

The electronic properties of normal metals have been under active study for several decades.

Computational Physics.

This book is a Festschrift for the 90th birthday of the physicist Pierre Noyes.

This book tackles the challenging question which mathematical formalisms and possibly new physical notions should be developed for quantitatively describing human cognition and behavior, in addition to the ones already developed in the physical and cognitive sciences.

The recent developement of high power lasers, delivering femtosecond pulses of 20 2 intensities up to 10 W/cm , has led to the discovery of new phenomena in laser interactions with matter.

The purpose of this book is to provide an elementary yet systematic description of the Bogoliubov-de Gennes (BdG) equations, their unique symmetry properties and their relation to Green's function theory.

With cutting-edge materials and minute electronic devices being produced by the latest nanoscale fabrication technology, it is essential for scientists and engineers to rely on first-principles (ab initio) calculation methods to fully understand the electronic configurations and transport properties of nanostructures.

The purpose of the volume is to bring forward recent trends of research in hypercomplex analysis.

New fundamental forces of Nature?

This volume showcases selected recent work presented at the 13th Regional Conference on Mathematical Physics held in Antalya, Turkey in 2010.

This book focuses on the ellipsoidal function, which serves as an evolution and extension of the circular function (trigonometric function) and elliptic function.

This volume convenes selected, peer-reviewed research and survey articles that address the modern state-of-the-art in varied areas of applied mathematical analysis.

This book comprises the proceedings of the Conference and Exhibition on Non Destructive Evaluation, (NDE 2019).

This book offers a systematic introduction to the Hopf algebra of renormalization in quantum field theory, with a special focus on physical motivation, the role of Dyson-Schwinger equations, and the renormalization group.

This book presents numerical and other approximation techniques for solving various types of mathematical problems that cannot be solved analytically.